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“Life Underground” is a permanent public artwork created in 2001 by American sculptor Tom Otterness for the 14th Street - Eighth Avenue station of the NYC Subway. The installation is a series of whimsical miniature bronze sculptures depicting cartoon like characters showing people and animals in various situations, and additional abstract sculptures, which are dispersed throughout the station platforms and passageways. The sculptor said the subject of the work is "the impossibility of understanding life in New York” and describes the arrangement of the individual pieces as being “scattered in little surprises”
Different forms of fluctuations of the terrestrial gravity field are observed by gravity experiments. For example, atmospheric pressure fluctuations generate a gravity-noise foreground in measurements with super-conducting gravimeters. Gravity changes caused by high-magnitude earthquakes have been detected with the satellite gravity experiment GRACE, and we expect high-frequency terrestrial gravity fluctuations produced by ambient seismic fields to limit the sensitivity of ground-based gravitational-wave (GW) detectors. Accordingly, terrestrial gravity fluctuations are considered noise and signal depending on the experiment. Here, we will focus on ground-based gravimetry. This field is rapidly progressing through the development of GW detectors. The technology is pushed to its current limits in the advanced generation of the LIGO and Virgo detectors, targeting gravity strain sensitivities better than 10−23 Hz−1/2 above a few tens of a Hz. Alternative designs for GW detectors evolving from traditional gravity gradiometers such as torsion bars, atom interferometers, and superconducting gradiometers are currently being developed to extend the detection band to frequencies below 1 Hz. The goal of this article is to provide the analytical framework to describe terrestrial gravity perturbations in these experiments. Models of terrestrial gravity perturbations related to seismic fields, atmospheric disturbances, and vibrating, rotating or moving objects, are derived and analyzed. The models are then used to evaluate passive and active gravity noise mitigation strategies in GW detectors, or alternatively, to describe their potential use in geophysics. The article reviews the current state of the field, and also presents new analyses especially with respect to the impact of seismic scattering on gravity perturbations, active gravity noise cancellation, and time-domain models of gravity perturbations from atmospheric and seismic point sources. Our understanding of terrestrial gravity fluctuations will have great impact on the future development of GW detectors and high-precision gravimetry in general, and many open questions need to be answered still as emphasized in this article.
Keywords: Terrestrial gravity, Newtonian noise, Wiener filter, Mitigation
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Introduction
In the coming years, we will see a transition in the field of high-precision gravimetry from observations of slow lasting changes of the gravity field to the experimental study of fast gravity fluctuations. The latter will be realized by the advanced generation of the US-based LIGO [1] and Europe-based Virgo [7] gravitational-wave (GW) detectors. Their goal is to directly observe for the first time GWs that are produced by astrophysical sources such as inspiraling and merging neutron-star or black-hole binaries. Feasibility of the laser-interferometric detector concept has been demonstrated successfully with the first generation of detectors, which, in addition to the initial LIGO and Virgo detectors, also includes the GEO600 [119] and TAMA300 [161] detectors, and several prototypes around the world. The impact of these projects onto the field is two-fold. First of all, the direct detection of GWs will be a milestone in science opening a new window to our universe, and marking the beginning of a new era in observational astronomy. Second, several groups around the world have already started to adapt the technology to novel interferometer concepts [60, 155], with potential applications not only in GW science, but also geophysics. The basic measurement scheme is always the same: the relative displacement of test masses is monitored by using ultra-stable lasers. Progress in this field is strongly dependent on how well the motion of the test masses can be shielded from the environment. Test masses are placed in vacuum and are either freely falling (e.g., atom clouds [137]), or suspended and seismically isolated (e.g., high-quality glass or crystal mirrors as used in all of the detectors listed above). The best seismic isolations realized so far are effective above a few Hz, which limits the frequency range of detectable gravity fluctuations. Nonetheless, low-frequency concepts are continuously improving, and it is conceivable that future detectors will be sufficiently sensitive to detect GWs well below a Hz [88].
Terrestrial gravity perturbations were identified as a potential noise source already in the first concept laid out for a laser-interferometric GW detector [171]. Today, this form of noise is known as “terrestrial gravitational noise”, “Newtonian noise”, or “gravity-gradient noise”. It has never been observed in GW detectors, but it is predicted to limit the sensitivity of the advanced GW detectors at low frequencies. The most important source of gravity noise comes from fluctuating seismic fields [151]. Gravity perturbations from atmospheric disturbances such as pressure and temperature fluctuations can become significant at lower frequencies [51]. Anthropogenic sources of gravity perturbations are easier to avoid, but could also be relevant at lower frequencies [163]. Today, we only have one example of a direct observation of gravity fluctuations, i.e., from pressure fluctuations of the atmosphere in high-precision gravimeters [128]. Therefore, almost our entire understanding of gravity fluctuations is based on models. Nonetheless, potential sensitivity limits of future large-scale GW detectors need to be identified and characterized well in advance, and so there is a need to continuously improve our understanding of terrestrial gravity noise. Based on our current understanding, the preferred option is to construct future GW detectors underground to avoid the most dominant Newtonian-noise contributions. This choice was made for the next-generation Japanese GW detector KAGRA, which is currently being constructed underground at the Kamioka site [17], and also as part of a design study for the Einstein Telescope in Europe [140, 139]. While the benefit from underground construction with respect to gravity noise is expected to be substantial in GW detectors sensitive above a few Hz [27], it can be argued that it is less effective at lower frequencies [88].
Alternative mitigation strategies includes coherent noise cancellation [42]. The idea is to monitor the sources of gravity perturbations using auxiliary sensors such as microphones and seismometers, and to use their data to generate a coherent prediction of gravity noise. This technique is successfully applied in gravimeters to reduce the foreground of atmospheric gravity noise using collocated pressure sensors [128]. It is also noteworthy that the models of the atmospheric gravity noise are consistent with observations. This should give us some confidence at least that coherent Newtonian-noise cancellation can also be achieved in GW detectors. It is evident though that a model-based prediction of the performance of coherent noise cancellation schemes is prone to systematic errors as long as the properties of the sources are not fully understood. Ongoing experiments at the Sanford Underground Research Facility with the goal to characterize seismic fields in three dimensions are expected to deliver first data from an underground seismometer array in 2015 (see [89] for results from an initial stage of the experiment). While most people would argue that constructing GW detectors underground is always advantageous, it is still necessary to estimate how much is gained and whether the science case strongly profits from it. This is a complicated problem that needs to be answered as part of a site selection process.
More recently, high-precision gravity strainmeters have been considered as monitors of geophysical signals [83]. Analytical models have been calculated, which allow us to predict gravity transients from seismic sources such as earthquakes. It was suggested to implement gravity strainmeters in existing earthquake-early warning systems to increase warning times. It is also conceivable that an alternative method to estimate source parameters using gravity signals will improve our understanding of seismic sources. Potential applications must still be investigated in greater detail, but the study already demonstrates that the idea to use GW technology to realize new geophysical sensors seems feasible. As explained in [49], gravitational forces start to dominate the dynamics of seismic phenomena below about 1 mHz (which coincides approximately with a similar transition in atmospheric dynamics where gravity waves start to dominate over other forms of oscillations [164]). Seismic isolation would be ineffective below 1 mHz since the gravitational acceleration of a test mass produced by seismic displacement becomes comparable to the seismic acceleration itself. Therefore, we claim that 10 mHz is about the lowest frequency at which ground-based gravity strainmeters will ever be able to detect GWs, and consequently, modelling terrestrial gravity perturbations in these detectors can focus on frequencies above 10 mHz.
This article is divided into six main sections. Section 2 serves as an introduction to gravity measurements focussing on the response mechanisms and basic properties of gravity sensors. Section 3 describes models of gravity perturbations from ambient seismic fields. The results can be used to estimate noise spectra at the surface and underground. A subsection is devoted to the problem of noise estimation in low-frequency GW detectors, which differs from high-frequency estimates mostly in that gravity perturbations are strongly correlated between different test masses. In the low-frequency regime, the gravity noise is best described as gravity-gradient noise. Section 4 is devoted to time domain models of transient gravity perturbations from seismic point sources. The formalism is applied to point forces and shear dislocations. The latter allows us to estimate gravity perturbations from earthquakes. Atmospheric models of gravity perturbations are presented in Section 5. This includes gravity perturbations from atmospheric temperature fields, infrasound fields, shock waves, and acoustic noise from turbulence. The solution for shock waves is calculated in time domain using the methods of Section 4. A theoretical framework to calculate gravity perturbations from objects is given in Section 6. Since many different types of objects can be potential sources of gravity perturbations, the discussion focusses on the development of a general method instead of summarizing all of the calculations that have been done in the past. Finally, Section 7 discusses possible passive and active noise mitigation strategies. Due to the complexity of the problem, most of the section is devoted to active noise cancellation providing the required analysis tools and showing limitations of this technique. Site selection is the main topic under passive mitigation, and is discussed in the context of reducing environmental noise and criteria relevant to active noise cancellation. Each of these sections ends with a summary and a discussion of open problems. While this article is meant to be a review of the current state of the field, it also presents new analyses especially with respect to the impact of seismic scattering on gravity perturbations (Sections 3.3.2 and 3.3.3), active gravity noise cancellation (Section 7.1.3), and timedomain models of gravity perturbations from atmospheric and seismic point sources (Sections 4.1, 4.5, and 5.3).
Even though evident to experts, it is worth emphasizing that all calculations carried out in this article have a common starting point, namely Newton’s universal law of gravitation. It states that the attractive gravitational force equation M1 between two point masses m1, m2 is given by
equation M21
where G = 6.672 × 10−11 N m2/kg2 is the gravitational constant. Eq. (1) gives rise to many complex phenomena on Earth such as inner-core oscillations [156], atmospheric gravity waves [157], ocean waves [94, 177], and co-seismic gravity changes [122]. Due to its importance, we will honor the eponym by referring to gravity noise as Newtonian noise in the following. It is thereby clarified that the gravity noise models considered in this article are non-relativistic, and propagation effects of gravity changes are neglected. While there could be interesting scenarios where this approximation is not fully justified (e.g., whenever a gravity perturbation can be sensed by several sensors and differences in arrival times can be resolved), it certainly holds in any of the problems discussed in this article. We now invite the reader to enjoy the rest of the article, and hope that it proves to be useful.
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Gravity Measurements
In this section, we describe the relevant mechanisms by which a gravity sensor can couple to gravity perturbations, and give an overview of the most widely used measurement schemes: the (relative) gravimeter [53, 181], the gravity gradiometer [125], and the gravity strainmeter. The last category includes the large-scale GW detectors Virgo [6], LIGO [91], GEO600 [119], KAGRA [17], and a new generation of torsion-bar antennas currently under development [13]. Also atom interferometers can potentially be used as gravity strainmeters in the future [62]. Strictly speaking, none of the sensors only responds to a single field quantity (such as changes in gravity acceleration or gravity strain), but there is always a dominant response mechanism in each case, which justifies to give the sensor a specific name. A clear distinction between gravity gradiometers and gravity strainmeters has never been made to our knowledge. Therefore the sections on these two measurement principles will introduce a definition, and it is by no means the only possible one. Later on in this article, we almost exclusively discuss gravity models relevant to gravity strainmeters since the focus lies on gravity fluctuations above 10 mHz. Today, the sensitivity near 10 mHz of gravimeters towards gravity fluctuations is still competitive to or exceeds the sensitivity of gravity strainmeters, but this is likely going to change in the future so that we can expect strainmeters to become the technology of choice for gravity observations above 10 mHz [88]. The following sections provide further details on this statement. Space-borne gravity experiments such as GRACE [167] will not be included in this overview. The measurement principle of GRACE is similar to that of gravity strainmeters, but only very slow changes of Earth gravity field can be observed, and for this reason it is beyond the scope of this article.
The different response mechanisms to terrestrial gravity perturbations are summarized in Section 2.1. While we will identify the tidal forces acting on the test masses as dominant coupling mechanism, other couplings may well be relevant depending on the experiment. The Shapiro time delay will be discussed as the only relativistic effect. Higher-order relativistic effects are neglected. All other coupling mechanisms can be calculated using Newtonian theory including tidal forces, coupling in static non-uniform gravity fields, and coupling through ground displacement induced by gravity fluctuations. In Sections 2.2 to 2.4, the different measurement schemes are explained including a brief summary of the sensitivity limitations (choosing one of a few possible experimental realizations in each case). As mentioned before, we will mostly develop gravity models relevant to gravity strainmeters in the remainder of the article. Therefore, the detailed discussion of alternative gravimetry concepts mostly serves to highlight important differences between these concepts, and to develop a deeper understanding of the instruments and their role in gravity measurements.
Gravity response mechanisms
Gravity acceleration and tidal forces We will start with the simplest mechanism of all, the acceleration of a test mass in the gravity field. Instruments that measure the acceleration are called gravimeters. A test mass inside a gravimeter can be freely falling such as atom clouds [181] or, as suggested as possible future development, even macroscopic objects [72]. Typically though, test masses are supported mechanically or magnetically constraining motion in some of its degrees of freedom. A test mass suspended from strings responds to changes in the horizontal gravity acceleration. A test mass attached at the end of a cantilever with horizontal equilibrium position responds to changes in vertical gravity acceleration. The support fulfills two purposes. First, it counteracts the static gravitational force in a way that the test mass can respond to changes in the gravity field along a chosen degree of freedom. Second, it isolates the test mass from vibrations. Response to signals and isolation performance depend on frequency. If the support is modelled as a linear, harmonic oscillator, then the test mass response to gravity changes extends over all frequencies, but the response is strongly suppressed below the oscillators resonance frequency. The response function between the gravity perturbation δg(ω) and induced test mass acceleration δa(ω) assumes the form
equation M32
where we have introduced a viscous damping parameter γ, and ω0 is the resonance frequency. Well below resonance, the response is proportional to ω2, while it is constant well above resonance. Above resonance, the supported test mass responds like a freely falling mass, at least with respect to “soft” directions of the support. The test-mass response to vibrations δα(ω) of the support is given by
equation M43
This applies for example to horizontal vibrations of the suspension points of strings that hold a test mass, or to vertical vibrations of the clamps of a horizontal cantilever with attached test mass. Well above resonance, vibrations are suppressed by ω−2, while no vibration isolation is provided below resonance. The situation is somewhat more complicated in realistic models of the support especially due to internal modes of the mechanical system (see for example [76]), or due to coupling of degrees of freedom [121]. Large mechanical support structures can feature internal resonances at relatively low frequencies, which can interfere to some extent with the desired performance of the mechanical support [173]. While Eqs. (2) and (3) summarize the properties of isolation and response relevant for this paper, details of the readout method can fundamentally impact an instrument’s response to gravity fluctuations and its susceptibility to seismic noise, as explained in Sections 2.2 to 2.4.
Next, we discuss the response to tidal forces. In Newtonian theory, tidal forces cause a relative acceleration δg12(ω) between two freely falling test masses according to
equation M54
where equation M6 is the Fourier amplitude of the gravity potential. The last equation holds if the distance r12 between the test masses is sufficiently small, which also depends on the frequency. The term equation M7 is called gravity-gradient tensor. In Newtonian approximation, the second time integral of this tensor corresponds to gravity strain equation M8, which is discussed in more detail in Section 2.4. Its trace needs to vanish in empty space since the gravity potential fulfills the Poisson equation. Tidal forces produce the dominant signals in gravity gradiometers and gravity strainmeters, which measure the differential acceleration or associated relative displacement between two test masses (see Sections 2.3 and 2.4). If the test masses used for a tidal measurement are supported, then typically the supports are designed to be as similar as possible, so that the response in Eq. (2) holds for both test masses approximately with the same parameter values for the resonance frequencies (and to a lesser extent also for the damping). For the purpose of response calibration, it is less important to know the parameter values exactly if the signal is meant to be observed well above the resonance frequency where the response is approximately equal to 1 independent of the resonance frequency and damping (here, “well above” resonance also depends on the damping parameter, and in realistic models, the signal frequency also needs to be “well below” internal resonances of the mechanical support).
Shapiro time delay Another possible gravity response is through the Shapiro time delay [19]. This effect is not universally present in all gravity sensors, and depends on the readout mechanism. Today, the best sensitivities are achieved by reflecting laser beams from test masses in interferometric configurations. If the test mass is displaced by gravity fluctuations, then it imprints a phase shift onto the reflected laser, which can be observed in laser interferometers, or using phasemeters. We will give further details on this in Section 2.4. In Newtonian gravity, the acceleration of test masses is the only predicted response to gravity fluctuations. However, from general relativity we know that gravity also affects the propagation of light. The leading-order term is the Shapiro time delay, which produces a phase shift of the laser beam with respect to a laser propagating in flat space. It can be calculated from the weak-field spacetime metric (see chapter 18 in [124]):
equation M95
Here, c is the speed of light, ds is the so-called line element of a path in spacetime, and equation M10. Additionally, for this metric to hold, motion of particles in the source of the gravity potential responsible for changes of the gravity potential need to be much slower than the speed of light, and also stresses inside the source must be much smaller than its mass energy density. All conditions are fulfilled in the case of Earth gravity field. Light follows null geodesics with ds2 = 0. For the spacetime metric in Eq. (5), we can immediately write
equation M116
As we will find out, this equation can directly be used to calculate the time delay as an integral along a straight line in terms of the coordinates equation M12, but this is not immediately clear since light bends in a gravity field. So one may wonder if integration along the proper light path instead of a straight line yields additional significant corrections. The so-called geodesic equation must be used to calculate the path. It is a set of four differential equations, one for each coordinate t, equation M13 in terms of a parameter λ. The weak-field geodesic equation is obtained from the metric in Eq. (5):
equation M147
where we have made use of Eq. (6) and the slow-motion condition equation M15. The coordinates equation M16 are to be understood as functions of λ. Since the deviation of a straight path is due to a weak gravity potential, we can solve these equations by perturbation theory introducing expansions equation M17 and t = t(0) +t(1) + …. The superscript indicates the order in ψ/c2. The unperturbed path has the simple parametrization
equation M188
We have chosen integration constants such that unperturbed time t(0) and parameter λ can be used interchangeably (apart from a shift by t0). Inserting these expressions into the right-hand side of Eq. (7), we obtain
equation M199
As we can see, up to linear order in equation M20, the deviation equation M21 is in orthogonal direction to the unperturbed path equation M22, which means that the deviation can be neglected in the calculation of the time delay. After some transformations, it is possible to derive Eq. (6) from Eq. (9), and this time we find explicitly that the right-hand-side of the equation only depends on the unperturbed coordinates1. In other words, we can integrate the time delay along a straight line as defined in Eq. (8), and so the total phase integrated over a travel distance L is given by
equation M2310
In static gravity fields, the phase shift doubles if the light is sent back since not only the direction of integration changes, but also the sign of the expression substituted for dt/dλ.
Gravity induced ground motion As we will learn in Section 3, seismic fields produce gravity perturbations either through density fluctuations of the ground, or by displacing interfaces between two materials of different density. It is also well-known in seismology that seismic fields can be affected significantly by self-gravity. Self-gravity means that the gravity perturbation produced by a seismic field acts back on the seismic field. The effect is most significant at low frequency where gravity induced acceleration competes against acceleration from elastic forces. In seismology, low-frequency seismic fields are best described in terms of Earth’s normal modes [55]. Normal modes exist as toroidal modes and spheroidal modes. Spheroidal modes are influenced by self-gravity, toroidal modes are not. For example, predictions of frequencies and shapes of spheroidal modes based on Earth models such as PREM (Preliminary Reference Earth Model) [68] are inaccurate if self-gravity effects are excluded. What this practically means is that in addition to displacement amplitudes, gravity becomes a dynamical variable in the elastodynamic equations that determine the normal-mode properties. Therefore, seismic displacement and gravity perturbation cannot be separated in normal-mode formalism (although self-gravity can be neglected in calculations of spheroidal modes at sufficiently high frequency).
In certain situations, it is necessary or at least more intuitive to separate gravity from seismic fields. An exotic example is Earth’s response to GWs [67, 49, 47, 30, 48]. Another example is the seismic response to gravity perturbations produced by strong seismic events at large distance to the source as described in Section 4. It is more challenging to analyze this scenario using normal-mode formalism. The sum over all normal modes excited by the seismic event (each of which describing a global displacement field) must lead to destructive interference of seismic displacement at large distances (where seismic waves have not yet arrived), but not of the gravity amplitudes since gravity is immediately perturbed everywhere. It can be easier to first calculate the gravity perturbation from the seismic perturbation, and then to calculate the response of the seismic field to the gravity perturbation at larger distance. This method will be adopted in this section. Gravity fields will be represented as arbitrary force or tidal fields (detailed models are presented in later sections), and we simply calculate the response of the seismic field. Normal-mode formalism can be avoided only at sufficiently high frequencies where the curvature of Earth does not significantly influence the response (i.e., well above 10 mHz). In this section, we will model the ground as homogeneous half space, but also more complex geologies can in principle be assumed.
Gravity can be introduced in two ways into the elastodynamic equations, as a conservative force −∇ψ [146, 169], or as tidal strain The latter method was described first by Dyson to calculate Earth’s response to GWs [67]. The approach also works for Newtonian gravity, with the difference that the tidal field produced by a GW is necessarily a quadrupole field with only two degrees of freedom (polarizations), while tidal fields produced by terrestrial sources are less constrained. Certainly, GWs can only be fully described in the framework of general relativity, which means that their representation as a Newtonian tidal field cannot be used to explain all possible observations [124]. Nonetheless, important here is that Dyson’s method can be extended to Newtonian tidal fields. Without gravity, the elastodynamic equations for small seismic displacement can be written as
equation M2411
where equation M25 is the seismic displacement field, and equation M26 is the stress tensor [9]. In the absence of other forces, the stress is determined by the seismic field. In the case of a homogeneous and isotropic medium, the stress tensor for small seismic displacement can be written as
equation M2712
The quantity equation M28 is known as seismic strain tensor, and λ, μ are the Lamé constants (see Section 3.1). Its trace is equal to the divergence of the displacement field. Dyson introduced the tidal field from first principles using Lagrangian mechanics, but we can follow a simpler approach. Eq. (12) means that a stress field builds up in response to a seismic strain field, and the divergence of the stress field acts as a force producing seismic displacement. The same happens in response to a tidal field, which we represent as gravity strain equation M29. A strain field changes the distance between two freely falling test masses separated by equation M30 by equation M312. For sufficiently small distances L, the strain field can be substituted by the second time integral of the gravity-gradient tensor equation M32. If the masses are not freely falling, then the strain field acts as an additional force. The corresponding contribution to the material’s stress tensor can be written
equation M3313
Since we assume that the gravity field is produced by a distant source, the local contribution to gravity perturbations is neglected, which means that the gravity potential obeys the Laplace equation, equation M34. Calculating the divergence of the stress tensor according to Eq. (11), we find that the gravity term vanishes! This means that a homogeneous and isotropic medium does not respond to gravity strain fields. However, we have to be more careful here. Our goal is to calculate the response of a half-space to gravity strain. Even if the half-space is homogeneous, the Lamé constants change discontinuously across the surface. Hence, at the surface, the divergence of the stress tensor reads
equation M3514
In other words, tidal fields produce a force onto an elastic medium via gradients in the shear modulus (second Lamé constant). The gradient of the shear modulus can be written in terms of a Dirac delta function, equation M36, for a flat surface at z = 0 with unit normal vector equation M37. The response to gravity strain fields is obtained applying the boundary condition of vanishing surface traction, equation M38:
equation M3915
Once the seismic strain field is calculated, it can be used to obtain the seismic stress, which determines the displacement field equation M40 according to Eq. (11). In this way, one can for example calculate that a seismometer or gravimeter can observe GWs by monitoring surface displacement as was first calculated by Dyson [67].
Coupling in non-uniform, static gravity fields If the gravity field is static, but non-uniform, then displacement equation M41 of the test mass in this field due to a non-gravitational fluctuating force is associated with a changing gravity acceleration according to
equation M4216
We introduce a characteristic length λ, over which gravity acceleration varies significantly. Hence, we can rewrite the last equation in terms of the associated test-mass displacement ζ
equation M4317
where we have neglected directional dependence and numerical factors. The acceleration change from motion in static, inhomogeneous fields is generally more significant at low frequencies. Let us consider the specific case of a suspended test mass. It responds to fluctuations in horizontal gravity acceleration. The test mass follows the motion of the suspension point in vertical direction (i.e., no seismic isolation), while seismic noise in horizontal direction is suppressed according to Eq. (3). Accordingly, it is possible that the unsuppressed vertical (z-axis) seismic noise ξz(t) coupling into the horizontal (x-axis) motion of the test mass through the term ∂xgz = ∂zgx dominates over the gravity response term in Eq. (2). Due to additional coupling mechanisms between vertical and horizontal motion in real seismic-isolation systems, test masses especially in GW detectors are also isolated in vertical direction, but without achieving the same noise suppression as in horizontal direction. For example, the requirements on vertical test-mass displacement for Advanced LIGO are a factor 1000 less stringent than on the horizontal displacement [22]. Requirements can be set on the vertical isolation by estimating the coupling of vertical motion into horizontal motion, which needs to take the gravity-gradient coupling of Eq. (16) into account. Although, because of the frequency dependence, gravity-gradient effects are more significant in low-frequency detectors, such as the space-borne GW detector LISA [154].
Next, we calculate an estimate of gravity gradients in the vicinity of test masses in large-scale GW detectors, and see if the gravity-gradient coupling matters compared to mechanical vertical-to-horizontal coupling.
One contribution to gravity gradients will come from the vacuum chamber surrounding the test mass. We approximate the shape of the chamber as a hollow cylinder with open ends (open ends just to simplify the calculation). In our calculation, the test mass can be offset from the cylinder axis and be located at any distance to the cylinder ends (we refer to this coordinate as height). The gravity field can be expressed in terms of elliptic integrals, but the explicit solution is not of concern here. Instead, let us take a look at the results in Figure Figure1.1. Gravity gradients ∂zgx vanish if the test mass is located on the symmetry axis or at height L/2. There are also two additional ∂zgx = 0 contour lines starting at the symmetry axis at heights ∼ 0.24 and ∼0.76. Let us assume that the test mass is at height 0.3L, a distance 0.05L from the cylinder axis, the total mass of the cylinder is M = 5000 kg, and the cylinder height is L = 4 m. In this case, the gravity-gradient induced vertical-to-horizontal coupling factor at 20 Hz is
equation M4418
This means that gravity-gradient induced coupling is extremely weak, and lies well below estimates of mechanical coupling (of order 0.001 in Advanced LIGO3). Even though the vacuum chamber was modelled with a very simple shape, and additional asymmetries in the mass distribution around the test mass may increase gravity gradients, it still seems very unlikely that the coupling would be significant. As mentioned before, one certainly needs to pay more attention when calculating the coupling at lower frequencies. The best procedure is of course to have a 3D model of the near test-mass infrastructure available and to use it for a precise calculation of the gravity-gradient field.
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Figure 1
Gravity gradients inside hollow cylinder. The total height of the cylinder is L, and M is its total mass. The radius of the cylinder is 0.3L. The axes correspond to the distance of the test mass from the symmetry axis of the cylinder, and its height above one of the cylinders ends. The plot on the right is simply a zoom of the left plot into the intermediate heights.
Gravimeters
Gravimeters are instruments that measure the displacement of a test mass with respect to a non-inertial reference rigidly connected to the ground. The test mass is typically supported mechanically or magnetically (atom-interferometric gravimeters are an exception), which means that the test-mass response to gravity is altered with respect to a freely falling test mass. We will use Eq. (2) as a simplified response model. There are various possibilities to measure the displacement of a test mass. The most widespread displacement sensors are based on capacitive readout, as for example used in superconducting gravimeters (see Figure Figure22 and [96]). Sensitive displacement measurements are in principle also possible with optical readout systems; a method that is (necessarily) implemented in atom-interferometric gravimeters [137], and prototype seismometers [34] (we will explain the distinction between seismometers and gravimeters below). As will become clear in Section 2.4, optical readout is better suited for displacement measurements over long baselines, as required for the most sensitive gravity strain measurements, while the capacitive readout should be designed with the smallest possible distance between the test mass and the non-inertial reference [104].
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Figure 2
Sketch of a levitated sphere serving as test mass in a superconducting gravimeter. Dashed lines indicate magnetic field lines. Coils are used for levitation and precise positioning of the sphere. Image reproduced with permission from [96]; copyright by Elsevier.
Let us take a closer look at the basic measurement scheme of a superconducting gravimeter shown in Figure Figure2.2. The central part is formed by a spherical superconducting shell that is levitated by superconducting coils. Superconductivity provides stability of the measurement, and also avoids some forms of noise (see [96] for details). In this gravimeter design, the lower coil is responsible mostly to balance the mean gravitational force acting on the sphere, while the upper coil modifies the magnetic gradient such that a certain “spring constant” of the magnetic levitation is realized. In other words, the current in the upper coil determines the resonance frequency in Eq. (2).
Capacitor plates are distributed around the sphere. Whenever a force acts on the sphere, the small signal produced in the capacitive readout is used to immediately cancel this force by a feedback coil. In this way, the sphere is kept at a constant location with respect to the external frame. This illustrates a common concept in all gravimeters. The displacement sensors can only respond to relative displacement between a test mass and a surrounding structure. If small gravity fluctuations are to be measured, then it is not sufficient to realize low-noise readout systems, but also vibrations of the surrounding structure forming the reference frame must be as small as possible. In general, as we will further explore in the coming sections, gravity fluctuations are increasingly dominant with decreasing frequency. At about 1 mHz, gravity acceleration associated with fluctuating seismic fields become comparable to seismic acceleration, and also atmospheric gravity noise starts to be significant [53]. At higher frequencies, seismic acceleration is much stronger than typical gravity fluctuations, which means that the gravimeter effectively operates as a seismometer. In summary, at sufficiently low frequencies, the gravimeter senses gravity accelerations of the test mass with respect to a relatively quiet reference, while at higher frequencies, the gravimeter senses seismic accelerations of the reference with respect to a test mass subject to relatively small gravity fluctuations. In superconducting gravimeters, the third important contribution to the response is caused by vertical motion ξ(t) of a levitated sphere against a static gravity gradient (see Section 2.1.4). As explained above, feedback control suppresses relative motion between sphere and gravimeter frame, which causes the sphere to move as if attached to the frame or ground. In the presence of a static gravity gradient ∂zgz, the motion of the sphere against this gradient leads to a change in gravity, which alters the feedback force (and therefore the recorded signal). The full contribution from gravitational, δa(t), and seismic, equation M45, accelerations can therefore be written
equation M4619
It is easy to verify, using Eqs. (2) and (3), that the relative amplitude of gravity and seismic fluctuations from the first two terms is independent of the test-mass support. Therefore, vertical seismic displacement of the reference frame must be considered fundamental noise of gravimeters and can only be avoided by choosing a quiet measurement site. Obviously, Eq. (19) is based on a simplified support model. One of the important design goals of the mechanical support is to minimize additional noise due to non-linearities and cross-coupling. As is explained further in Section 2.3, it is also not possible to suppress seismic noise in gravimeters by subtracting the disturbance using data from a collocated seismometer. Doing so inevitably turns the gravimeter into a gravity gradiometer.
Gravimeters target signals that typically lie well below 1 mHz. Mechanical or magnetic supports of test masses have resonance frequencies at best slightly below 10 mHz along horizontal directions, and typically above 0.1 Hz in the vertical direction [23, 174]4. Well below resonance frequency, the response function can be approximated as equation M47. At first, it may look as if the gravimeter should not be sensitive to very low-frequency fluctuations since the response becomes very weak. However, the strength of gravity fluctuations also strongly increases with decreasing frequency, which compensates the small response. It is clear though that if the resonance frequency was sufficiently high, then the response would become so weak that the gravity signal would not stand out above other instrumental noise anymore. The test-mass support would be too stiff. The sensitivity of the gravimeter depends on the resonance frequency of the support and the intrinsic instrumental noise. With respect to seismic noise, the stiffness of the support has no influence as explained before (the test mass can also fall freely as in atom interferometers).
For superconducting gravimeters of the Global Geodynamics Project (GGP) [52], the median spectra are shown in Figure Figure3.3. Between 0.1 mHz and 1 mHz, atmospheric gravity perturbations typically dominate, while instrumental noise is the largest contribution between 1 mHz and 5 mHz [96]. The smallest signal amplitudes that have been measured by integrating long-duration signals is about 10−12 m/s2. A detailed study of noise in superconducting gravimeters over a larger frequency range can be found in [145]. Note that in some cases, it is not fit to categorize seismic and gravity fluctuations as noise and signal. For example, Earth’s spherical normal modes coherently excite seismic and gravity fluctuations, and the individual contributions in Eq. (19) have to be understood only to accurately translate data into normal-mode amplitudes [55].
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Figure 3
Median spectra of superconducting gravimeters of the GGP. Image reproduced with permission from [48]; copyright by APS.
Gravity gradiometers
It is not the purpose of this section to give a complete overview of the different gradiometer designs. Gradiometers find many practical applications, for example in navigation and resource exploration, often with the goal to measure static or slowly changing gravity gradients, which do not concern us here. For example, we will not discuss rotating gradiometers, and instead focus on gradiometers consisting of stationary test masses. While the former are ideally suited to measure static or slowly changing gravity gradients with high precision especially under noisy conditions, the latter design has advantages when measuring weak tidal fluctuations. In the following, we only refer to the stationary design. A gravity gradiometer measures the relative acceleration between two test masses each responding to fluctuations of the gravity field [102, 125]. The test masses have to be located close to each other so that the approximation in Eq. (4) holds. The proximity of the test masses is used here as the defining property of gradiometers. They are therefore a special type of gravity strainmeter (see Section 2.4), which denotes any type of instrument that measures relative gravitational acceleration (including the even more general concept of measuring space-time strain).
Gravity gradiometers can be realized in two versions. First, one can read out the position of two test masses with respect to the same rigid, non-inertial reference. The two channels, each of which can be considered a gravimeter, are subsequently subtracted. This scheme is for example realized in dual-sphere designs of superconducting gravity gradiometers [90] or in atom-interferometric gravity gradiometers [159].
It is schematically shown in Figure Figure4.4. Let us first consider the dual-sphere design of a superconducting gradiometer. If the reference is perfectly stiff, and if we assume as before that there are no cross-couplings between degrees of freedom and the response is linear, then the subtraction of the two gravity channels cancels all of the seismic noise, leaving only the instrumental noise and the differential gravity signal given by the second line of Eq. (4). Even in real setups, the reduction of seismic noise can be many orders of magnitude since the two spheres are close to each other, and the two readouts pick up (almost) the same seismic noise [125]. This does not mean though that gradiometers are necessarily more sensitive instruments to monitor gravity fields. A large part of the gravity signal (the common-mode part) is subtracted together with the seismic noise, and the challenge is now passed from finding a seismically quiet site to developing an instrument with lowest possible intrinsic noise.
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Figure 4
Basic scheme of a gravity gradiometer for measurements along the vertical direction. Two test masses are supported by horizontal cantilevers (superconducting magnets, …). Acceleration of both test masses is measured against the same non-inertial reference frame, which is connected to the ground. Each measurement constitutes one gravimeter. Subtraction of the two channels yields a gravity gradiometer.
The atom-interferometric gradiometer differs in some important details from the superconducting gradiometer. The test masses are realized by ultracold atom clouds, which are (nearly) freely falling provided that magnetic shielding of the atoms is sufficient, and interaction between atoms can be neglected. Interactions of a pair of atom clouds with a laser beam constitute the basic gravity gradiometer scheme. Even though the test masses are freely falling, the readout is not generally immune to seismic noise [80, 18]. The laser beam interacting with the atom clouds originates from a source subject to seismic disturbances, and interacts with optics that require seismic isolation. Schemes have been proposed that could lead to a large reduction of seismic noise [178, 77], but their effectiveness has not been tested in experiments yet. Since the differential position (or tidal) measurement is performed using a laser beam, the natural application of atom-interferometer technology is as gravity strainmeter (as explained before, laser beams are favorable for differential position measurements over long baselines). Nonetheless, the technology is currently insufficiently developed to realize large-baseline experiments, and we can therefore focus on its application in gradiometry. Let us take a closer look at the response of atom-interferometric gradiometers to seismic noise. In atom-interferometric detectors (excluding the new schemes proposed in [178, 77]), one can show that seismic acceleration δα(ω) of the optics or laser source limits the sensitivity of a tidal measurement according to
equation M4820
where L is the separation of the two atom clouds, and is the speed of light. It should be emphasized that the seismic noise remains, even if all optics and the laser source are all linked to the same infinitely stiff frame. In addition to this noise term, other coupling mechanisms may play a role, which can however be suppressed by engineering efforts. The noise-reduction factor ωL/c needs to be compared with the common-mode suppression of seismic noise in superconducting gravity gradiometers, which depends on the stiffness of the instrument frame, and on contamination from cross coupling of degrees-of-freedom. While the seismic noise in Eq. (20) is a fundamental noise contribution in (conventional) atom-interferometric gradiometers, the noise suppression in superconducting gradiometers depends more strongly on the engineering effort (at least, we venture to claim that common-mode suppression achieved in current instrument designs is well below what is fundamentally possible).
To conclude this section, we discuss in more detail the connection between gravity gradiometers and seismically (actively or passively) isolated gravimeters. As we have explained in Section 2.2, the sensitivity limitation of gravimeters by seismic noise is independent of the mechanical support of the test mass (assuming an ideal, linear support). The main purpose of the mechanical support is to maximize the response of the test mass to gravity fluctuations, and thereby increase the signal with respect to instrumental noise other than seismic noise. Here we will explain that even a seismic isolation of the gravimeter cannot overcome this noise limitation, at least not without fundamentally changing its response to gravity fluctuations. Let us first consider the case of a passively seismically isolated gravimeter. For example, we can imagine that the gravimeter is suspended from the tip of a strong horizontal cantilever. The system can be modelled as two oscillators in a chain, with a light test mass m supported by a heavy mass M representing the gravimeter (reference) frame, which is itself supported from a point rigidly connected to Earth. The two supports are modelled as harmonic oscillators. As before, we neglect cross coupling between degrees of freedom. Linearizing the response of the gravimeter frame and test mass for small accelerations, and further neglecting terms proportional to m/M, one finds the gravimeter response to gravity fluctuations:
equation M4921
Here, ω1, γ1 are the resonance frequency and damping of the gravimeter support, while ω2, γ2 are the resonance frequency and damping of the test-mass support. The response and isolation functions R(·), S(·) are defined in Eqs. (2) and (3). Remember that Eq. (21) is obtained as a differential measurement of test-mass acceleration versus acceleration of the reference frame. Therefore, δg1(ω) denotes the gravity fluctuation at the center-of-mass of the gravimeter frame, and δg2(ω) at the test mass. An infinitely stiff gravimeter suspension, ω1 → ∞, yields R(ω; ω1, γ1) = 0, and the response turns into the form of the non-isolated gravimeter. The seismic isolation is determined by
equation M5022
We can summarize the last two equations as follows. At frequencies well above ω1, the seismically isolated gravimeter responds like a gravity gradiometer, and seismic noise is strongly suppressed. The deviation from the pure gradiometer response ∼ δg2(ω) − δg1(ω) is determined by the same function S(ω; ω1, γ1) that describes the seismic isolation. In other words, if the gravity gradient was negligible, then we ended up with the conventional gravimeter response, with signals suppressed by the seismic isolation function. Well below ω1, the seismically isolated gravimeter responds like a conventional gravimeter without seismic-noise reduction. If the centers of the masses m (test mass) and M (reference frame) coincide, and therefore δg1(ω) = δg2(ω), then the response is again like a conventional gravimeter, but this time suppressed by the isolation function S(ω; ω1, γ1).
Let us compare the passively isolated gravimeter with an actively isolated gravimeter. In active isolation, the idea is to place the gravimeter on a stiff platform whose orientation can be controlled by actuators. Without actuation, the platform simply follows local surface motion. There are two ways to realize an active isolation. One way is to place a seismometer next to the platform onto the ground, and use its data to subtract ground motion from the platform. The actuators cancel the seismic forces. This scheme is called feed-forward noise cancellation. Feed-forward cancellation of gravity noise is discussed at length in Section 7.1, which provides details on its implementation and limitations. The second possibility is to place the seismometer together with the gravimeter onto the platform, and to suppress seismic noise in a feedback configuration [4, 2]. In the following, we discuss the feed-forward technique as an example since it is easier to analyze (for example, feedback control can be unstable [4]). As before, we focus on gravity and seismic fluctuations. The seismometer’s intrinsic noise plays an important role in active isolation limiting its performance, but we are only interested in the modification of the gravimeter’s response. Since there is no fundamental difference in how a seismometer and a gravimeter respond to seismic and gravity fluctuations, we know from Section 2.2 that the seismometer output is proportional to δg1(ω) − δα(ω), i.e., using a single test mass for acceleration measurements, seismic and gravity perturbations contribute in the same way. A transfer function needs to be multiplied to the acceleration signals, which accounts for the mechanical support and possibly also electronic circuits involved in the seismometer readout. To cancel the seismic noise of the platform that carries the gravimeter, the effect of all transfer functions needs to be reversed by a matched feed-forward filter. The output of the filter is then equal to δg1(ω) − δα(ω) and is added to the motion of the platform using actuators cancelling the seismic noise and adding the seismometer’s gravity signal. In this case, the seismometer’s gravity signal takes the place of the seismic noise in Eq. (3). The complete gravity response of the actively isolated gravimeter then reads
equation M5123
The response is identical to a gravity gradiometer, where ω2, γ2 are the resonance frequency and damping of the gravimeter’s test-mass support. In reality, instrumental noise of the seismometer will limit the isolation performance and introduce additional noise into Eq. (23). Nonetheless, Eqs. (21) and (23) show that any form of seismic isolation turns a gravimeter into a gravity gradiometer at frequencies where seismic isolation is effective. For the passive seismic isolation, this means that the gravimeter responds like a gradiometer at frequencies well above the resonance frequency ω1 of the gravimeter support, while it behaves like a conventional gravimeter below ω1. From these results it is clear that the design of seismic isolations and the gravity response can in general not be treated independently. As we will see in Section 2.4 though, tidal measurements can profit strongly from seismic isolation especially when common-mode suppression of seismic noise like in gradiometers is insufficient or completely absent.
Gravity strainmeters
Gravity strain is an unusual concept in gravimetry that stems from our modern understanding of gravity in the framework of general relativity. From an observational point of view, it is not much different from elastic strain. Fluctuating gravity strain causes a change in distance between two freely falling test masses, while seismic or elastic strain causes a change in distance between two test masses bolted to an elastic medium. It should be emphasized though that we cannot always use this analogy to understand observations of gravity strain [106]. Fundamentally, gravity strain corresponds to a perturbation of the metric that determines the geometrical properties of spacetime [124]. We will briefly discuss GWs, before returning to a Newtonian description of gravity strain.
Gravitational waves are weak perturbations of spacetime propagating at the speed of light. Freely falling test masses change their distance in the field of a GW. When the length of the GW is much larger than the separation between the test masses, it is possible to interpret this change as if caused by a Newtonian force. We call this the long-wavelength regime. Since we are interested in the low-frequency response of gravity strainmeters throughout this article (i.e., frequencies well below 100 Hz), this condition is always fulfilled for Earth-bound experiments. The effect of a gravity-strain field equation M52 on a pair of test masses can then be represented as an equivalent Newtonian tidal field
equation M5324
Here, equation M54 is the relative acceleration between two freely falling test masses, L is the distance between them, and equation M55 is the unit vector pointing from one to the other test mass, and equation M56 its transpose. As can be seen, the gravity-strain field is represented by a 3 × 3 tensor. It contains the space-components of a 4-dimensional metric perturbation of spacetime, and determines all properties of GWs5. Note that the strain amplitude h in Eq. (24) needs to be multiplied by 2 to obtain the corresponding amplitude of the metric perturbation (e.g., the GW amplitude). Throughout this article, we define gravity strain as h = ΔL/L, while the effect of a GW with amplitude aGW on the separation of two test mass is determined by aGW = 2ΔL/L.
The strain field of a GW takes the form of a quadrupole oscillation with two possible polarizations commonly denoted × (cross)-polarization and +(plus)-polarization. The arrows in Figure Figure55 indicate the lines of the equivalent tidal field of Eq. (24).
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Figure 5
Polarizations of a gravitational wave.
Consequently, to (directly) observe GWs, one can follow two possible schemes: (1) the conventional method, which is a measurement of the relative displacement of suspended test masses typically carried out along two perpendicular baselines (arms); and (2) measurement of the relative rotation between two suspended bars. Figure Figure66 illustrates the two cases. In either case, the response of a gravity strainmeter is obtained by projecting the gravity strain tensor onto a combination of two unit vectors, equation M57 and equation M58, that characterize the orientation of the detector, such as the directions of two bars in a rotational gravity strain meter, or of two arms of a conventional gravity strain meter. This requires us to define two different gravity strain projections. The projection for the rotational strain measurement is given by
equation M5925
where the subscript × indicates that the detector responds to the ×-polarization assuming that the x, y-axes (see Figure Figure5)5) are oriented along two perpendicular bars. The vectors equation M60 and equation M61 are rotated counter-clockwise by 90° with respect to equation M62 and equation M63. In the case of perpendicular bars equation M64 and equation M65. The corresponding projection for the conventional gravity strain meter reads
equation M6626
The subscript + indicates that the detector responds to the +-polarization provided that the x, y-axes are oriented along two perpendicular baselines (arms) of the detector. The two schemes are shown in Figure Figure6.6. The most sensitive GW detectors are based on the conventional method, and distance between test masses is measured by means of laser interferometry. The LIGO and Virgo detectors have achieved strain sensitivities of better than 10−22 Hz−1/2 between about 50 Hz and 1000 Hz in past science runs and are currently being commissioned in their advanced configurations [91, 7]. The rotational scheme is realized in torsion-bar antennas, which are considered as possible technology for sub-Hz GW detection [155, 69]. However, with achieved strain sensitivity of about 10−8 Hz−1/2 near 0.1 Hz, the torsion-bar detectors are far from the sensitivity we expect to be necessary for GW detection [88].
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Figure 6
Sketches of the relative rotational and displacement measurement schemes.
Let us now return to the discussion of the previous sections on the role of seismic isolation and its impact on gravity response. Gravity strainmeters profit from seismic isolation more than gravimeters or gravity gradiometers. We have shown in Section 2.2 that seismically isolated gravimeters are effectively gravity gradiometers. So in this case, seismic isolation changes the response of the instrument in a fundamental way, and it does not make sense to talk of seismically isolated gravimeters. Seismic isolation could in principle be beneficial for gravity gradiometers (i.e., the acceleration of two test masses is measured with respect to a common rigid, seismically isolated reference frame), but the common-mode rejection of seismic noise (and gravity signals) due to the differential readout is typically so high that other instrumental noise becomes dominant. So it is possible that some gradiometers would profit from seismic isolation, but it is not generally true. Let us now consider the case of a gravity strainmeter. As explained in Section 2.3, we distinguish gradiometers and strainmeters by the distance of their test masses. For example, the distance of the LIGO or Virgo test masses is 4 km and 3 km respectively. Seismic noise and terrestrial gravity fluctuations are insignificantly correlated between the two test masses within the detectors’ most sensitive frequency band (above 10 Hz). Therefore, the approximation in Eq. (4) does not apply. Certainly, the distinction between gravity gradiometers and strainmeters remains somewhat arbitrary since at any frequency the approximation in Eq. (4) can hold for one type of gravity fluctuation, while it does not hold for another. Let us adopt a more practical definition at this point. Whenever the design of the instrument places the test masses as distant as possible from each other given current technology, then we call such an instrument strainmeter. In the following, we will discuss seismic isolation and gravity response for three strainmeter designs, the laser-interferometric, atom-interferometric, and superconducting strainmeters. It should be emphasized that the atom-interferometric and superconducting concepts are still in the beginning of their development and have not been realized yet with scientifically interesting sensitivities.
Laser-interferometric strainmeters The most sensitive gravity strainmeters, namely the large-scale GW detectors, use laser interferometry to read out the relative displacement between mirror pairs forming the test masses. Each test mass in these detectors is suspended from a seismically isolated platform, with the suspension itself providing additional seismic isolation. Section 2.1.1 introduced a simplified response and isolation model based on a harmonic oscillator characterized by a resonance frequency ω0 and viscous damping γ6. In a multi-stage isolation and suspension system as realized in GW detectors (see for example [37, 121]), coupling between multiple oscillators cannot be neglected, and is fundamental to the seismic isolation performance, but the basic features can still be explained with the simplified isolation and response model of Eqs. (2) and (3). The signal output of the interferometer is proportional to the relative displacement between test masses. Since seismic noise is approximately uncorrelated between two distant test masses, the differential measurement itself cannot reject seismic noise as in gravity gradiometers. Without seismic isolation, the dominant signal would be seismic strain, i.e., the distance change between test masses due to elastic deformation of the ground, with a value of about 10−15 Hz−1/2 at 50 Hz (assuming kilometer-scale arm lengths). At the same time, without seismically isolated test masses, the gravity signal can only come from the ground response to gravity fluctuations as described in Section 2.1.3, and from the Shapiro time delay as described in Section 2.1.2.
How much mass do flocculent spirals hide? The featured true color image of flocculent spiral galaxy NGC 4414 was taken with the Hubble Space Telescope to help answer this question. The featured image was augmented with data from the Sloan Digital Sky Survey (SDSS). Flocculent spirals -- galaxies without well-defined spiral arms -- are a quite common form of galaxy, and NGC 4414 is one of the closest. Stars and gas near the visible edge of spiral galaxies orbit the center so fast that the gravity from a large amount of unseen dark matter must be present to hold them together. Understanding the matter and dark matter distribution of NGC 4414 helps humanity calibrate the rest of the galaxy and, by deduction, flocculent spirals in general. Further, calibrating the distance to NGC 4414 helps humanity calibrate the cosmological distance scale of the entire visible universe. via NASA ift.tt/2gsbMns
"The Book of Genesis" redirects here. For the comics, see The Book of Genesis (comics).
The Creation of Man by Ephraim Moses Lilien, 1903.
Jacob flees Laban by Charles Foster, 1897.
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The Book of Genesis,[a] the first book of the Hebrew Bible and the Old Testament,[1] is Judaism's account of the creation of the world and the origins of the Jewish people.[2]
It is divisible into two parts, the primeval history (chapters 1–11) and the ancestral history (chapters 12–50).[3] The primeval history sets out the author's (or authors') concepts of the nature of the deity and of humankind's relationship with its maker: God creates a world which is good and fit for mankind, but when man corrupts it with sin God decides to destroy his creation, saving only the righteous Noah to reestablish the relationship between man and God.[4] The ancestral history (chapters 12–50) tells of the prehistory of Israel, God's chosen people.[5] At God's command Noah's descendant Abraham journeys from his home into the God-given land of Canaan, where he dwells as a sojourner, as does his son Isaac and his grandson Jacob. Jacob's name is changed to Israel, and through the agency of his son Joseph, the children of Israel descend into Egypt, 70 people in all with their households, and God promises them a future of greatness. Genesis ends with Israel in Egypt, ready for the coming of Moses and the Exodus. The narrative is punctuated by a series of covenants with God, successively narrowing in scope from all mankind (the covenant with Noah) to a special relationship with one people alone (Abraham and his descendants through Isaac and Jacob).[6]
In Judaism, the theological importance of Genesis centers on the covenants linking God to his chosen people and the people to the Promised Land. Christianity has interpreted Genesis as the prefiguration of certain cardinal Christian beliefs, primarily the need for salvation (the hope or assurance of all Christians) and the redemptive act of Christ on the Cross as the fulfillment of covenant promises as the Son of God.
Tradition credits Moses as the author of Genesis, as well as the books of Exodus, Leviticus, Numbers and most of Deuteronomy, but modern scholars increasingly see them as a product of the 6th and 5th centuries BC.[7][8]
Contents
1Structure
2Summary
3Composition
3.1Title and textual witnesses
3.2Origins
3.3Genre
4Themes
4.1Promises to the ancestors
4.2God's chosen people
5Judaism's weekly Torah portions
6See also
7Notes
8References
9Bibliography
9.1Commentaries on Genesis
9.2General
10External links
Structure[edit]
Genesis appears to be structured around the recurring phrase elleh toledot, meaning "these are the generations," with the first use of the phrase referring to the "generations of heaven and earth" and the remainder marking individuals—Noah, the "sons of Noah", Shem, etc., down to Jacob.[9] It is not clear, however, what this meant to the original authors, and most modern commentators divide it into two parts based on subject matter, a "primeval history" (chapters 1–11) and a "patriarchal history" (chapters 12–50).[10][b] While the first is far shorter than the second, it sets out the basic themes and provides an interpretive key for understanding the entire book.[11] The "primeval history" has a symmetrical structure hinging on chapters 6–9, the flood story, with the events before the flood mirrored by the events after;[12] the "ancestral history" is structured around the three patriarchs Abraham, Jacob and Joseph.[13] (The stories of Isaac do not make up a coherent cycle of stories and function as a bridge between the cycles of Abraham and Jacob.)[14]
Summary[edit]
See also: Primeval history and Patriarchal age
The Creation of Adam by Michelangelo, 1512.
God creates the world in six days and consecrates the seventh as a day of rest. God creates the first humans Adam and Eve and all the animals in the Garden of Eden but instructs them not to eat the fruit of the tree of knowledge of good and evil. A talking serpent portrayed as a deceptive creature or trickster, entices Eve into eating it against God's wishes, and she entices Adam, whereupon God throws them out and curses them—Adam to getting what he needs only by sweat and work, and Eve to giving birth in pain. This is interpreted by Christians as the fall of humanity. Eve bears two sons, Cain and Abel. Cain kills Abel after God accepts Abel's offering but not Cain's. God then curses Cain. Eve bears another son, Seth, to take Abel's place.
After many generations of Adam have passed from the lines of Cain and Seth, the world becomes corrupted by human sin and Nephilim, and God determines to wipe out humanity. First, he instructs the righteous Noah and his family to build an ark and put examples of all the animals on it, seven pairs of every clean animal and one pair of every unclean. Then God sends a great flood to wipe out the rest of the world. When the waters recede, God promises he will never destroy the world with water again, using the rainbow as a symbol of his promise. God sees mankind cooperating to build a great tower city, the Tower of Babel, and divides humanity with many languages and sets them apart with confusion.
God instructs Abram to travel from his home in Mesopotamia to the land of Canaan. There, God makes a covenant with Abram, promising that his descendants shall be as numerous as the stars, but that people will suffer oppression in a foreign land for four hundred years, after which they will inherit the land "from the river of Egypt to the great river, the river Euphrates". Abram's name is changed to Abraham and that of his wife Sarai to Sarah, and circumcision of all males is instituted as the sign of the covenant. Due to her old age, Sarah tells Abraham to take her Egyptian handmaiden, Hagar, as a second wife. Through Hagar, Abraham fathers Ishmael.
God resolves to destroy the cities of Sodom and Gomorrah for the sins of their people. Abraham protests and gets God to agree not to destroy the cities for the sake of ten righteous men. Angels save Abraham's nephew Lot and his family, but his wife looks back on the destruction against their command and turns into a pillar of salt. Lot's daughters, concerned that they are fugitives who will never find husbands, get him drunk to become pregnant by him, and give birth to the ancestors of the Moabites and Ammonites.
Abraham and Sarah go to the Philistine town of Gerar, pretending to be brother and sister (they are half-siblings). The King of Gerar takes Sarah for his wife, but God warns him to return her, and he obeys. God sends Sarah a son whom she will name Isaac; through him will be the establishment of the covenant. Sarah drives Ishmael and his mother Hagar out into the wilderness, but God saves them and promises to make Ishmael a great nation.
The Angel Hinders the Offering of Isaac (Rembrandt, 1635)
God tests Abraham by demanding that he sacrifice Isaac. As Abraham is about to lay the knife upon his son, God restrains him, promising him numberless descendants. On the death of Sarah, Abraham purchases Machpelah (believed to be modern Hebron) for a family tomb and sends his servant to Mesopotamia to find among his relations a wife for Isaac; after proving herself, Rebekah becomes Isaac's betrothed. Keturah, Abraham's other wife, births more children, among whose descendants are the Midianites. Abraham dies at a prosperous old age and his family lays him to rest in Hebron.
Isaac's wife Rebecca gives birth to the twins Esau, father of the Edomites, and Jacob. Through deception, Jacob becomes the heir instead of Esau and gains his father's blessing. He flees to his uncle where he prospers and earns his two wives, Rachel and Leah. Jacob's name is changed to Israel, and by his wives and their handmaidens he has twelve sons, the ancestors of the twelve tribes of the Children of Israel, and a daughter, Dinah.
Joseph, Jacob's favorite son, makes his brothers jealous and they sell him into slavery in Egypt. Joseph prospers, after hardship, with God's guidance of interpreting Pharaoh's dream of upcoming famine. He is then reunited with his father and brothers, who fail to recognize him, and plead for food. After much manipulation, he reveals himself and lets them and their households into Egypt, where Pharaoh assigns to them the land of Goshen. Jacob calls his sons to his bedside and reveals their future before he dies. Joseph lives to an old age and exhorts his brethren, if God should lead them out of the country, to take his bones with them.
Composition[edit]
Abram's Journey from Ur to Canaan (József Molnár, 1850)
Title and textual witnesses[edit]
Genesis takes its Hebrew title from the first word of the first sentence, Bereshit, meaning "In [the] beginning [of]"; in the Greek Septuagint it was called Genesis, from the phrase "the generations of heaven and earth".[15] There are four major textual witnesses to the book: the Masoretic Text, the Samaritan Pentateuch, the Septuagint, and fragments of Genesis found at Qumran. The Qumran group provides the oldest manuscripts but covers only a small proportion of the book; in general, the Masoretic Text is well preserved and reliable, but there are many individual instances where the other versions preserve a superior reading.[16]
Origins[edit]
Main article: Composition of the Torah
For much of the 20th century most scholars agreed that the five books of the Pentateuch—Genesis, Exodus, Leviticus, Numbers and Deuteronomy—came from four sources, the Yahwist, the Elohist, the Deuteronomist and the Priestly source, each telling the same basic story, and joined together by various editors.[17] Since the 1970s there has been a revolution leading scholars to view the Elohist source as no more than a variation on the Yahwist, and the Priestly source as a body of revisions and expansions to the Yahwist (or "non-Priestly") material. (The Deuteronomistic source does not appear in Genesis.)[18]
Scholars use examples of repeated and duplicate stories to identify the separate sources. In Genesis these include three different accounts of a Patriarch claiming that his wife was his sister, the two creation stories, and the two versions of Abraham sending Hagar and Ishmael into the desert.[19]
This leaves the question of when these works were created. Scholars in the first half of the 20th century came to the conclusion that the Yahwist is a product of the monarchic period, specifically at the court of Solomon, 10th century BC, and the Priestly work in the middle of the 5th century BC (with claims that the author is Ezra), but more recent thinking is that the Yahwist is from either just before or during the Babylonian exile of the 6th century BC, and the Priestly final edition was made late in the Exilic period or soon after.[8]
As for why the book was created, a theory which has gained considerable interest, although still controversial is "Persian imperial authorisation". This proposes that the Persians of the Achaemenid Empire, after their conquest of Babylon in 539 BC, agreed to grant Jerusalem a large measure of local autonomy within the empire, but required the local authorities to produce a single law code accepted by the entire community. The two powerful groups making up the community—the priestly families who controlled the Temple and who traced their origin to Moses and the wilderness wanderings, and the major landowning families who made up the "elders" and who traced their own origins to Abraham, who had "given" them the land—were in conflict over many issues, and each had its own "history of origins", but the Persian promise of greatly increased local autonomy for all provided a powerful incentive to cooperate in producing a single text.[20]
Genre[edit]
Genesis is perhaps best seen as an example of a creation myth, a type of literature telling of the first appearance of humans, the stories of ancestors and heroes, and the origins of culture, cities and so forth.[21] The most notable examples are found in the work of Greek historians of the 6th century BC: their intention was to connect notable families of their own day to a distant and heroic past, and in doing so they did not distinguish between myth, legend, and facts.[22] Professor Jean-Louis Ska of the Pontifical Biblical Institute calls the basic rule of the antiquarian historian the "law of conservation": everything old is valuable, nothing is eliminated.[23] Ska also points out the purpose behind such antiquarian histories: antiquity is needed to prove the worth of Israel's traditions to the nations (the neighbours of the Jews in early Persian Palestine), and to reconcile and unite the various factions within Israel itself.[23]
Themes[edit]
Joseph Recognized by His Brothers (Léon Pierre Urban Bourgeois, 1863)
Promises to the ancestors[edit]
In 1978 David Clines published his influential The Theme of the Pentateuch – influential because he was one of the first to take up the question of the theme of the entire five books. Clines' conclusion was that the overall theme is "the partial fulfillment – which implies also the partial nonfulfillment – of the promise to or blessing of the Patriarchs". (By calling the fulfillment "partial" Clines was drawing attention to the fact that at the end of Deuteronomy the people are still outside Canaan).[24]
The patriarchs, or ancestors, are Abraham, Isaac and Jacob, with their wives (Joseph is normally excluded).[25] Since the name YHWH had not been revealed to them, they worshipped El in his various manifestations.[26] (It is, however, worth noting that in the Jahwist source the patriarchs refer to deity by the name YHWH, for example in Genesis 15.) Through the patriarchs God announces the election of Israel, meaning that he has chosen Israel to be his special people and committed himself to their future.[27] God tells the patriarchs that he will be faithful to their descendants (i.e. to Israel), and Israel is expected to have faith in God and his promise. ("Faith" in the context of Genesis and the Hebrew Bible means agreement to the promissory relationship, not a body of belief).[28]
The promise itself has three parts: offspring, blessings, and land.[29] The fulfilment of the promise to each patriarch depends on having a male heir, and the story is constantly complicated by the fact that each prospective mother – Sarah, Rebekah and Rachel – is barren. The ancestors, however, retain their faith in God and God in each case gives a son – in Jacob's case, twelve sons, the foundation of the chosen Israelites. Each succeeding generation of the three promises attains a more rich fulfillment, until through Joseph "all the world" attains salvation from famine,[30] and by bringing the children of Israel down to Egypt he becomes the means through which the promise can be fulfilled.[25]
God's chosen people[edit]
Scholars generally agree that the theme of divine promise unites the patriarchal cycles, but many would dispute the efficacy of trying to examine Genesis' theology by pursuing a single overarching theme, instead citing as more productive the analysis of the Abraham cycle, the Jacob cycle, and the Joseph cycle, and the Yahwist and Priestly sources.[31] The problem lies in finding a way to unite the patriarchal theme of divine promise to the stories of Genesis 1–11 (the primeval history) with their theme of God's forgiveness in the face of man's evil nature.[32][33] One solution is to see the patriarchal stories as resulting from God's decision not to remain alienated from mankind:[33] God creates the world and mankind, mankind rebels, and God "elects" (chooses) Abraham.[6]
To this basic plot (which comes from the Yahwist) the Priestly source has added a series of covenants dividing history into stages, each with its own distinctive "sign". The first covenant is between God and all living creatures, and is marked by the sign of the rainbow; the second is with the descendants of Abraham (Ishmaelites and others as well as Israelites), and its sign is circumcision; and the last, which does not appear until the book of Exodus, is with Israel alone, and its sign is Sabbath. A great leader mediates each covenant (Noah, Abraham, Moses), and at each stage God progressively reveals himself by his name (Elohim with Noah, El Shaddai with Abraham, Yahweh with Moses).[6]
Judaism's weekly Torah portions[edit]
Main article: Weekly Torah portion
First Day of Creation (from the 1493 Nuremberg Chronicle)
Bereshit, on Genesis 1–6: Creation, Eden, Adam and Eve, Cain and Abel, Lamech, wickedness
Noach, on Genesis 6–11: Noah's Ark, the Flood, Noah's drunkenness, the Tower of Babel
Lech-Lecha, on Genesis 12–17: Abraham, Sarah, Lot, covenant, Hagar and Ishmael, circumcision
Vayeira, on Genesis 18–22: Abraham's visitors, Sodomites, Lot's visitors and flight, Hagar expelled, binding of Isaac
Chayei Sarah, on Genesis 23–25: Sarah buried, Rebekah for Isaac
Toledot, on Genesis 25–28: Esau and Jacob, Esau's birthright, Isaac's blessing
Vayetze, on Genesis 28–32: Jacob flees, Rachel, Leah, Laban, Jacob's children and departure
Vayishlach, on Genesis 32–36: Jacob's reunion with Esau, the rape of Dinah
Vayeshev, on Genesis 37–40: Joseph's dreams, coat, and slavery, Judah with Tamar, Joseph and Potiphar
Miketz, on Genesis 41–44: Pharaoh's dream, Joseph in government, Joseph's brothers visit Egypt
Vayigash, on Genesis 44–47: Joseph reveals himself, Jacob moves to Egypt
Vaychi, on Genesis 47–50: Jacob's blessings, death of Jacob and of Joseph
See also[edit]
Bible portal
Dating the Bible
Enûma Eliš
Genesis creation narrative
Genesis 1:1
Historicity of the Bible
Mosaic authorship
Paradise Lost
Protevangelium
Wife–sister narratives in the Book of Genesis
Notes[edit]
^ The name "Genesis" is from the Latin Vulgate, in turn borrowed or transliterated from Greek "γένεσις", meaning "Origin"; Hebrew: בְּרֵאשִׁית, "Bərēšīṯ", "In [the] beginning"
^ The Weekly Torah portions, Parashot, divide the book into 12 readings.
References[edit]
^ Hamilton 1990, p. 1.
^ Sweeney 2012, p. 657.
^ Bergant 2013, p. xii.
^ Bandstra 2008, p. 35.
^ Bandstra 2008, p. 78.
^ Jump up to: a b c Bandstra (2004), pp. 28–29
^ Van Seters (1998), p. 5
^ Jump up to: a b Davies (1998), p. 37
^ Hamilton (1990), p. 2
^ Whybray (1997), p. 41
^ McKeown (2008), p. 2
^ Walsh (2001), p. 112
^ Bergant 2013, p. 45.
^ Bergant 2013, p. 103.
^ Carr 2000, p. 491.
^ Hendel, R. S. (1992). "Genesis, Book of". In D. N. Freedman (Ed.), The Anchor Yale Bible Dictionary (Vol. 2, p. 933). New York: Doubleday
^ Gooder (2000), pp. 12–14
^ Van Seters (2004), pp. 30–86
^ Lawrence Boadt; Richard J. Clifford; Daniel J. Harrington (2012). Reading the Old Testament: An Introduction. Paulist Press.
^ Ska (2006), pp. 169, 217–18
^ Van Seters (2004) pp. 113–14
^ Whybray (2001), p. 39
^ Jump up to: a b Ska (2006), p. 169
^ Clines (1997), p. 30
^ Jump up to: a b Hamilton (1990), p. 50
^ John J Collins (2007), A Short Introduction to the Hebrew Bible, Fortress Press, p. 47
^ Brueggemann (2002), p. 61
^ Brueggemann (2002), p. 78
^ McKeown (2008), p. 4
^ Wenham (2003), p. 34
^ Hamilton (1990), pp. 38–39
^ Hendel, R. S. (1992). "Genesis, Book of". In D. N. Freedman (Ed.), The Anchor Yale Bible Dictionary (Vol. 2, p. 935). New York: Doubleday
^ Jump up to: a b Kugler, Hartin (2009), p.9
Bibliography[edit]
Commentaries on Genesis[edit]
Sweeney, Marvin (2012). "Genesis in the Context of Jewish Thought". In Evans, Craig A.; Lohr, Joel N. (eds.). The Book of Genesis: Composition, Reception, and Interpretation. BRILL. ISBN 978-9004226531.
Bandstra, Barry L. (2008). Reading the Old Testament. Cengage Learning. ISBN 978-0495391050.
Bergant, Dianne (2013). Genesis: In the Beginning. Liturgical Press. ISBN 9780814682753.
Blenkinsopp, Joseph (2011). Creation, Un-creation, Re-creation: A Discursive Commentary on Genesis 1–11. Continuum International Publishing Group. ISBN 9780567372871.
Brueggemann, Walter (1986). Genesis. Interpretation: A Bible Commentary for Teaching and Preaching. Atlanta: John Knox Press. ISBN 0-8042-3101-X.
Carr, David M. (2000). "Genesis, Book of". In Freedman, David Noel; Myers, Allen C. (eds.). Eerdmans Dictionary of the Bible. Amsterdam University Press. ISBN 9780567372871.
Cotter, David W (2003). Genesis. Liturgical Press. ISBN 9780814650400.
De La Torre, Miguel (2011). Genesis. Belief: A Theological Commentary on the Bible. Westminster John Knox Press.
Fretheim, Terence E. "The Book of Genesis." In The New Interpreter's Bible. Edited by Leander E. Keck, vol. 1, pp. 319–674. Nashville: Abingdon Press, 1994. ISBN 0-687-27814-7.
Hamilton, Victor P (1990). The Book of Genesis: chapters 1–17. Eerdmans. ISBN 9780802825216.
Hamilton, Victor P (1995). The Book of Genesis: chapters 18–50. Eerdmans. ISBN 9780802823090.
Hirsch, Samson Raphael. The Pentateuch: Genesis. Translated by Isaac Levy. Judaica Press, 2nd edition 1999. ISBN 0-910818-12-6. Originally published as Der Pentateuch uebersetzt und erklaert Frankfurt, 1867–1878.
Kass, Leon R. The Beginning of Wisdom: Reading Genesis. New York: Free Press, 2003. ISBN 0-7432-4299-8.
Kessler, Martin; Deurloo, Karel Adriaan (2004). A Commentary on Genesis: The Book of Beginnings. Paulist Press. ISBN 9780809142057.
McKeown, James (2008). Genesis. Eerdmans. ISBN 9780802827050.
Plaut, Gunther. The Torah: A Modern Commentary (1981), ISBN 0-8074-0055-6
Rogerson, John William (1991). Genesis 1–11. T&T Clark. ISBN 9780567083388.
Sacks, Robert D (1990). A Commentary on the Book of Genesis. Edwin Mellen.
Sarna, Nahum M. The JPS Torah Commentary: Genesis: The Traditional Hebrew Text with the New JPS Translation. Philadelphia: Jewish Publication Society, 1989. ISBN 0-8276-0326-6.
Speiser, E.A. Genesis: Introduction, Translation, and Notes. New York: Anchor Bible, 1964. ISBN 0-385-00854-6.
Towner, Wayne Sibley (2001). Genesis. Westminster John Knox Press. ISBN 9780664252564.
Turner, Laurence (2009). Genesis, Second Edition. Sheffield Phoenix Press. ISBN 9781906055653.
Von Rad, Gerhard (1972). Genesis: A Commentary. Westminster John Knox Press. ISBN 9780664227456.
Wenham, Gordon (2003). "Genesis". In James D. G. Dunn, John William Rogerson (ed.). Eerdmans Bible Commentary. Eerdmans. ISBN 9780802837110.
Whybray, R.N (2001). "Genesis". In John Barton (ed.). Oxford Bible Commentary. Oxford University Press. ISBN 9780198755005.
General[edit]
Bandstra, Barry L (2004). Reading the Old Testament: An Introduction to the Hebrew Bible. Wadsworth. ISBN 9780495391050.
Blenkinsopp, Joseph (2004). Treasures old and new: Essays in the Theology of the Pentateuch. Eerdmans. ISBN 9780802826794.
Brueggemann, Walter (2002). Reverberations of faith: A Theological Handbook of Old Testament themes. Westminster John Knox. ISBN 9780664222314.
Campbell, Antony F; O'Brien, Mark A (1993). Sources of the Pentateuch: Texts, Introductions, Annotations. Fortress Press. ISBN 9781451413670.
Carr, David M (1996). Reading the Fractures of Genesis. Westminster John Knox Press. ISBN 9780664220716.
Clines, David A (1997). The Theme of the Pentateuch. Sheffield Academic Press. ISBN 9780567431967.
Davies, G.I (1998). "Introduction to the Pentateuch". In John Barton (ed.). Oxford Bible Commentary. Oxford University Press. ISBN 9780198755005.
Gooder, Paula (2000). The Pentateuch: A Story of Beginnings. T&T Clark. ISBN 9780567084187.
Hendel, Ronald (2012). The Book of "Genesis": A Biography (Lives of Great Religious Books). Princeton University Press. ISBN 9780691140124.
Kugler, Robert; Hartin, Patrick (2009). The Old Testament between Theology and History: A Critical Survey. Eerdmans. ISBN 9780802846365.
Levin, Christoph L (2005). The Old Testament: A Brief Introduction. Princeton University Press. ISBN 9780691113944.
Longman, Tremper (2005). How to read Genesis. InterVarsity Press. ISBN 9780830875603.
McEntire, Mark (2008). Struggling with God: An Introduction to the Pentateuch. Mercer University Press. ISBN 9780881461015.
Newman, Murray L. (1999). Genesis (PDF). Forward Movement Publications, Cincinnati, OH.
Ska, Jean-Louis (2006). Introduction to Reading the Pentateuch. Eisenbrauns. ISBN 9781575061221.
Van Seters, John (1992). Prologue to History: The Yahwist as Historian in Genesis. Westminster John Knox Press. ISBN 9780664221799.
Van Seters, John (1998). "The Pentateuch". In Steven L. McKenzie, Matt Patrick Graham (ed.). The Hebrew Bible Today: An Introduction to Critical Issues. Westminster John Knox Press. ISBN 9780664256524.
Van Seters, John (2004). The Pentateuch: A Social-science Commentary. Continuum International Publishing Group. ISBN 9780567080882.
Walsh, Jerome T (2001). Style and Structure in Biblical Hebrew Narrative. Liturgical Press. ISBN 9780814658970.
External links[edit]
Wikimedia Commons has media related to Book of Genesis.
Wikiquote has quotations related to: Genesis
Wikisource has original text related to this article:
Genesis
Book of Genesis Hebrew Transliteration
Book of Genesis illustrated
Genesis Reading Room (Tyndale Seminary): online commentaries and monographs on Genesis.
Bereshit with commentary in Hebrew
בראשית Bereishit – Genesis (Hebrew – English at Mechon-Mamre.org)
Genesis at Mechon-Mamre (Jewish Publication Society translation)
01 Genesis public domain audiobook at LibriVox Various versions
Genesis (The Living Torah) Rabbi Aryeh Kaplan's translation and commentary at Ort.org
Genesis (Judaica Press) at Chabad.org
Young's Literal Translation (YLT)
New International Version (NIV)
Revised Standard Version (RSV)
Westminster-Leningrad codex
Aleppo Codex
Book of Genesis in Bible Book
Genesis in Hebrew, Aramaic, Syriac, Greek, Latin, and English – The critical text of the Book of Genesis in Hebrew with ancient versions (Masoretic, Samaritan Pentateuch, Samaritan Targum, Targum Onkelos, Peshitta, Septuagint, Vetus Latina, Vulgate, Aquila, Symmachus, and Theodotion) and English translation for each version in parallel.
en.wikipedia.org/wiki/Book_of_Genesis
"The Fall of Man" by Lucas Cranach the Elder. The Tree of Knowledge is on the right.
The tree of the knowledge of good and evil (Biblical Hebrew: עֵ֕ץ הַדַּ֖עַת ט֥וֹב וָרָֽע [ʕesˤ hadaʕaθ tˤov waraʕ]) is one of two specific trees in the story of the Garden of Eden in Genesis 2–3, along with the tree of life.
Contents
1In Genesis
1.1Narrative
1.2Meaning of good and evil
2Religious views
2.1Judaism
2.2Christianity
2.3Islam
2.4Other cultures
3See also
4References
4.1Bibliography
In Genesis[edit]
Narrative[edit]
Genesis 2 narrates that Yahweh places the first man and woman in a garden with trees of whose fruits they may eat, but forbids them to eat from "the tree of the knowledge of good and evil." When, in Genesis 3, a serpent persuades the woman to eat from its forbidden fruit and she also lets the man taste it, God expels them from the garden and thereby from eternal life.
Meaning of good and evil[edit]
The phrase in Hebrew: טוֹב וָרָע, tov wa-raʿ, literally translates as good and evil. This may be an example of the type of figure of speech known as merism, a literary device that pairs opposite terms together in order to create a general meaning, so that the phrase "good and evil" would simply imply "everything." This is seen in the Egyptian expression evil-good, which is normally employed to mean "everything."[1] In Greek literature, Homer also uses the device when he lets Telemachus say, "I [wish to] know everything, the good and the evil." (Odyssey 20:309–310)
However, if tree of the knowledge of good and evil is to be understood to mean a tree whose fruit imparts knowledge of everything, this phrase does not necessarily denote a moral concept. This view is held by several scholars.[1][2][3]
Given the context of disobedience to God, other interpretations of the implications of this phrase also demand consideration. Robert Alter emphasizes the point that when God forbids the man to eat from that particular tree, he says that if he does so, he is "doomed to die." The Hebrew behind this is in a form regularly used in the Hebrew Bible for issuing death sentences.[4]
Religious views[edit]
Judaism[edit]
In Jewish tradition, the Tree of Knowledge and the eating of its fruit represents the beginning of the mixture of good and evil together. Before that time, the two were separate, and evil had only a nebulous existence in potential. While free choice did exist before eating the fruit, evil existed as an entity separate from the human psyche, and it was not in human nature to desire it. Eating and internalizing the forbidden fruit changed this and thus was born the yetzer hara, the evil inclination.[5][6] In Rashi's notes on Genesis 3:3, the first sin came about because Eve added an additional clause to the Divine command: Neither shall you touch it. By saying this, Eve added to YHWH's command and thereby came to detract from it, as it is written: Do not add to His Words (Proverbs 30:6). However, In Legends of the Jews, it was Adam who had devoutly forbidden Eve to touch the tree even though God had only mentioned the eating of the fruit.[7]
When Adam ate from the Tree of Knowledge, all the animals ate from it, too [8]
In Kabbalah, the sin of the Tree of Knowledge (called Cheit Eitz HaDa'at) brought about the great task of beirurim, sifting through the mixture of good and evil in the world to extract and liberate the sparks of holiness trapped therein.[9] Since evil has no independent existence, it depends on holiness to draw down the Divine life-force, on whose "leftovers" it then feeds and derives existence.[10] Once evil is separated from holiness through beirurim, its source of life is cut off, causing the evil to disappear. This is accomplished through observance of the 613 commandments in the Torah, which deal primarily with physical objects wherein good and evil are mixed together.[11][12][13] Thus, the task of beirurim rectifies the sin of the Tree and draws the Shechinah back down to earth, where the sin of the Tree had caused Her to depart.[14][15]
Christianity[edit]
A marble bas relief by Lorenzo Maitani on the Orvieto Cathedral, Italy depicts Eve and the tree
In Christian tradition, consuming the fruit of the tree of knowledge of good and evil was the sin committed by Adam and Eve that led to the fall of man in Genesis 3.
In Catholicism, Augustine of Hippo taught that the tree should be understood both symbolically and as a real tree - similarly to Jerusalem being both a real city and a figure of Heavenly Jerusalem.[16] Augustine underlined that the fruits of that tree were not evil by themselves, because everything that God created was good (Gen 1:12). It was disobedience of Adam and Eve, who had been told by God not to eat of the tree (Gen 2:17), that caused disorder in the creation,[17] thus humanity inherited sin and guilt from Adam and Eve's sin.[18]
In Western Christian art, the fruit of the tree is commonly depicted as the apple, which originated in central Asia. This depiction may have originated as a Latin pun: by eating the mālum (apple), Eve contracted malum (evil).[19]
Islam[edit]
See also: Tree of life (Quran)
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The Quran never refers to the tree as the "Tree of the knowledge of good and evil" but rather typically refers to it as "the tree" or (in the words of Iblis) as the "tree of immortality."[20] The tree in Quran is used as an example for a concept, idea, way of life or code of life. A good concept/idea is represented as a good tree and a bad idea/concept is represented as a bad tree[21] Muslims believe that when God created Adam and Eve, he told them that they could enjoy everything in the Garden except this tree (idea, concept, way of life), and so, Satan appeared to them and told them that the only reason God forbade them to eat from that tree is that they would become Angels or they start using the idea/concept of Ownership in conjunction with inheritance generations after generations which Iblis convinced Adam to accept[22]
When they ate from this tree their nakedness appeared to them and they began to sew together, for their covering, leaves from the Garden. The Arabic word used is ورق which also means currency / notes.[23] Which means they started to use currency due to ownership. As Allah already mentioned that everything in Heaven is free(so eat from where you desire) [24] so using currency to uphold the idea of ownership became the reason for the slip. The Quran mentions the sin as being a 'slip', and after this 'slip' they were sent to the destination they were intended to be on: Earth. Consequently, they repented to God and asked for his forgiveness[25] and were forgiven.[26] It was decided that those who obey God and follow his path shall be rewarded with everlasting life in Jannah, and those who disobey God and stray away from his path shall be punished in Jahannam.
God in Quran (Al-A'raf 27) states:
"[O] Children of Adam! Let not Satan tempt you as he brought your parents out of the Garden, stripping them of their garments to show them their shameful parts. Surely he [Satan] sees you, he and his tribe, from where you see them not. We have made the Satans the friends of those who do not believe."
Other cultures[edit]
A cylinder seal, known as the Adam and Eve cylinder seal, from post-Akkadian periods in Mesopotamia (c. 23rd-22nd century BCE), has been linked to the Adam and Eve story. Assyriologist George Smith (1840-1876) describes the seal as having two facing figures (male and female) seated on each side of a tree, holding out their hands to the fruit, while between their backs is a serpent, giving evidence that the fall of man account was known in early times of Babylonia.[27] The British Museum disputes this interpretation and holds that it is a common image from the period depicting a male deity being worshipped by a woman, with no reason to connect the scene with the Book of Genesis.[28]
See also[edit]
Adam and Eve (Latter Day Saint movement)
Dream of the Rood
Enlightenment (spiritual)
Original sin
References[edit]
^ Jump up to: a b Gordon, Cyrus H.; Rendsburg, Gary A. (1997). The Bible and the ancient Near East (4th ed.). New York: W.W. Norton & Co. p. 36. ISBN 978-0-393-31689-6.
^ Harry Orlinsky's notes to the NJPS Torah.
^ Wyatt, Nicolas (2001). Space and Time in the Religious Life of the Near East. A&C Black. p. 244. ISBN 978-0-567-04942-1.
^ Alter 2004, p. 21.
^ Rashi to Genesis 2:25
^ Ramban to Genesis 3:6
^ Ginzberg, Louis, The Legends of the Jews, Vol. I: The Fall of Man, (Translated by Henrietta Szold), Johns Hopkins University Press: 1998, ISBN 0-8018-5890-9
^ Bereishit Rabbah 19: 5
^ Epistle 26, Lessons in Tanya, Igeret HaKodesh
^ ch. 22, Tanya, Likutei Amarim
^ ch. 37, Lessons in Tanya, Likutei Amarim
^ Torah Ohr 3c
^ Torat Chaim Bereishit 30a
^ Bereishit Rabbah 19:7
^ Ramban to Genesis 3:8
^ Augustine, On the Literal Meaning of Genesis (De Genesi ad litteram), VIII, 4.8; Bibliothèque Augustinniene 49, 20
^ Augustine of Hippo, On the Literal Meaning of Genesis (De Genesi ad litteram), VIII, 6.12 and 13.28, Bibliothèque Augustinniene 49,28 and 50-52; PL 34, 377; cf. idem, De Trinitate, XII, 12.17; CCL 50, 371-372 [v. 26-31;1-36]; De natura boni 34-35; CSEL 25, 872; PL 42, 551-572
^ "The City of God (Book XIII), Chapter 14". Newadvent.org. Retrieved 2014-02-07.
^ Adams, Cecil (2006-11-24). "The Straight Dope: Was the forbidden fruit in the Garden of Eden an apple?". The Straight Dope. Creative Loafing Media, Inc. Retrieved 2008-10-06.
^ Qur'an 20:120
^ Qur'an 14:24
^ Qur'an 20:120
^ "ورق".
^ Qur'an 7:19
^ Qur'an 7:23
^ Qur'an 2:37
^ Mitchell, T.C. (2004). The Bible in the British Museum : interpreting the evidence (New ed.). New York: Paulist Press. p. 24. ISBN 9780809142927.
^ The British Museum. "'Adam and Eve' cylinder seal". Google Cultural Institute. Retrieved 2017-04-06.
Bibliography[edit]
Alter, Robert. A translation with commentary (2004). The five books of Moses. New York: W.W. Norton. ISBN 0-393-33393-0.
Knight, Douglas (1990). Watson E. Mills (ed.). Mercer dictionary of the Bible (2d corr. print. ed.). Macon, GA: Mercer University Press. ISBN 0-86554-402-6.
Media related to Tree of the knowledge of good and evil at Wikimedia Commons
en.wikipedia.org/wiki/Tree_of_the_knowledge_of_good_and_evil
不 可 使 慈 愛 誠 實 離 開 你 . 要 繫 在 你 頸 項 上 、 刻 在 你 心 版 上 .
Let not mercy and truth forsake thee: bind them about thy neck; write them upon the table of thine heart:這 樣 、 你 必 在 神 和 世 人 眼 前 蒙 恩 寵 、 有 聰 明 。So shalt thou find favour and good understanding in the sight of God and man.你 要 專 心 仰 賴 耶 和 華 、 不 可 倚 靠 自 己 的 聰 明 Trust in the LORD with all thine heart; and lean not unto thine own understanding.
在 你 一 切 所 行 的 事 上 、 都 要 認 定 他 、 他 必 指 引 你 的 路 。 In all thy ways acknowledge him, and he shall direct thy paths.Proverbs3:3~6
Episodes from the History of Electricity.
If you like it, please support it at Ideas! Thank you!
Benjamin Franklin (1750 - Lightning is electrical)
Franklin was a leading author, printer, political theorist, politician (was one of the Founding Fathers of the United States), postmaster, scientist, inventor, civic activist, statesman, and diplomat. As a scientist, he was a major figure in the American Enlightenment and the history of physics for his discoveries and theories regarding electricity. As an inventor, he is known for the lightning rod, bifocals, and the Franklin stove, among other inventions.
In 1750 he published a proposal for an experiment to prove that lightning is electricity by flying a kite in a storm that appeared capable of becoming a lightning storm. On May 10, 1752, Thomas-François Dalibard of France conducted Franklin's experiment using a 40-foot-tall (12 m) iron rod instead of a kite, and he extracted electrical sparks from a cloud. On June 15 Franklin may possibly have conducted his well known kite experiment in Philadelphia, successfully extracting sparks from a cloud.
Franklin's electrical experiments led to his invention of the lightning rod.
Luigi Aloisio Galvani (1781 - "Animal Electricity")
Galvani was an Italian physician, physicist and philosopher who lived in Bologna.
With his experiment he discovered that the body of animals is powered by electrical impulses. Galvani named this newly discovered force “animal electricity,” and thus laid foundations for the modern fields of electrophysiology and neuroscience.
Galvani’s contemporaries - including Benjamin Franklin, whose work helped prove the existence of atmospheric electricity - had made great strides in understanding the nature of electricity and how to produce it. Inspired by Galvani’s discoveries, fellow Italian scientist Alessandro Volta would go on to invent, in 1800, the first electrical battery - the voltaic pile - which consisted of brine-soaked pieces of cardboard or cloth sandwiched between disks of different metals.
Thomas Alva Edison (1882 - First Power Station)
Edison was an American inventor and businessman. He developed many devices that greatly influenced life around the world, including the phonograph, the motion picture camera, and a long-lasting, practical electric light bulb. Dubbed "The Wizard of Menlo Park", he was one of the first inventors to apply the principles of mass production and large-scale teamwork to the process of invention, and because of that, he is often credited with the creation of the first industrial research laboratory.
In 1878, Edison formed the Edison Electric Light Company (today as General Electric) in New York City with several financiers, including J. P. Morgan and the members of the Vanderbilt family. Edison made the first public demonstration of his incandescent light bulb on December 31, 1879, in Menlo Park. It was during this time that he said: "We will make electricity so cheap that only the rich will burn candles."
After devising a commercially viable electric light bulb on October 21, 1879, Edison patented a system for electricity distribution in 1880, which was essential to capitalize on the invention of the electric lamp.
The company established the first investor-owned electric utility in 1882 on Pearl Street Station, New York City. It was on September 4, 1882, that Edison switched on his Pearl Street generating station's electrical power distribution system, which provided 110 volts direct current (DC) to 59 customers in lower Manhattan. Earlier in the year, in January 1882, he had switched on the first steam-generating power station at Holborn Viaduct in London. The DC supply system provided electricity supplies to street lamps and several private dwellings within a short distance of the station.
Edison was a prolific inventor, holding 1,093 US patents in his name. More significant than the number of Edison's patents was the widespread impact of his inventions: electric light and power utilities, sound recording, and motion pictures all established major new industries world-wide. Edison's inventions contributed to mass communication and, in particular, telecommunications. These included a stock ticker, a mechanical vote recorder, a battery for an electric car, electrical power, recorded music and motion pictures.
Nicola Tesla (1891 - Tesla Coil)
Tesla was a Serbian American inventor, electrical engineer, mechanical engineer, and futurist best known for his contributions to the design of the modern alternating current (AC) electricity supply system.
Tesla moved to New York in 1884 and introduced himself to Thomas Edison. Although Tesla and Edison shared a mutual respect for one another, at least at first, Tesla challenged Edison’s claim that current could only flow in one direction (DC, direct current). Tesla claimed that energy was cyclic and could change direction (AC, alternating current), which would increase voltage levels across greater distances than Edison had pioneered. In 1888, Tesla went to work for Westinghouse in order to develop the alternating current system. Westinghouse and Tesla in their design for the first hydroelectric power plant in Niagara Falls.
Around 1891 Tesla invented the Tesla coil, which is an electrical resonant transformer circuit. It is used to produce high-voltage, low-current, high frequency alternating-current electricity. Tesla experimented with a number of different configurations consisting of two, or sometimes three, coupled resonant electric circuits. In 1899 Tesla moved to Colorado Springs, where he would have room for his high-voltage, high-frequency experiments: Tesla was sitting in his laboratory with his "Magnifying transmitter" generating millions of volts.
Tesla invented the first alternating current (AC) motor and developed AC generation and transmission technology, invented electric oscillators, meters, improved lights. He also experimented with X-rays and gave short-range demonstrations of radio communication.
"Erotically Sparking and Steamy"
Early marriage was borne of ancient societies' need to secure a safe environment in which to breed, handle the granting of property rights, and protect bloodlines. Ancient Hebrew law required a man to become the husband of a deceased brother's widow.
But even in these early times, marriage was much about love and desire as it was social and economic stability. In its roundness, the engagement ring, a custom dating back to the Ancient Rome, is believed to represent eternity and everlasting union. It was once believed a vein or nerve ran directly from the 'ring' finger of the left hand to the heart.
Many other modern day marriage traditions have their origins in these ancient times. Newly-weds are said to have aided fertility by drinking a brew made from honey during certain lunar phases and it is this tradition from which we derive the origins of the word 'honeymoon'.
ONE WIFE OR TWO?
Understanding of marriage contrasted greatly from culture to culture. Some cultures viewed the institution as endogamous (men were required to marry within their own social group, family, clan, or tribe), exogamous (marrying outside the geographical region or social group) or polygamous (allowing men to take more than one bride).
Polygamy was formally banned towards the end of the Roman Empire with laws against adultery, fornication and other relationships outside a monogamous lifelong covenant. The seeds of modern marriage were sowed here and they extended into the modern Western world.
The Gay Games is the world's largest sporting and cultural event organized by and specifically for LGBT athletes, artists, musicians, and others. It welcomes participants of every sexual orientation and every skill level. Originally called the Gay Olympics, it was started in San Francisco in 1982, as the brainchild of Tom Waddell, whose goals were to promote the spirit of inclusion and participation, as well as the pursuit of personal growth in a sporting event. It retains many similarities with the Olympics, including the Gay Games flame which is lit at the opening ceremony.
The Gay Games is open to all who wish to participate, without regard to sexual orientation. There are no qualifying standards to compete in the Gay Games. It brings together people from all over the world, many from countries where homosexuality remains illegal and hidden.
The Federation of Gay Games (FGG) is the sanctioning body of the Gay Games. From its statement of concept and purpose:
The purpose of the Federation of Gay Games is to foster and augment the self-respect of lesbians and gay men throughout the world and to engender respect and understanding from the nongay world, primarily through an organized international participatory athletic and cultural event held every four years, and commonly known as the Gay Games.
Gay Games VIII were held in Cologne, Germany from July 31 to August 6, 2010.
A series of AI-generated pictures of a mother and a daughter ready for the "Día de los Muertos".
To be continued.
Pictures made with Midjourney.
I'm always happy to accept invites to groups as long as I can see their content. Should I see "this group is not available to you", my pictures won't be made available to that group. Thanks for your understanding.
Title.
Early morning in front of the station.
(LUMIX G3 shot)
London. UK. 2015. … 1 / 6
(Today's photo. It's unpublished.)
Images.
Busty and the Bass - Fourth Wall
youtu.be/0GlX8-6P5Fk?si=BW-3Rk4gGkykIK5C
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“A.I. - About Apple’s Identity”
www.flickr.com/photos/stealaway/54271473379/in/dateposted...
---
### Will Apple Listen to Mark Zuckerberg’s Criticism?
I Don’t Think So—At Least Not for Someone Enchanted by the Apple Vision Pro.
Mark Zuckerberg, CEO of Meta, recently appeared on a well-known podcast, where he criticized Apple for failing to release an innovative product since the iPhone and for experiencing a decline in sales.
Appearing on a podcast originating from Apple and then proceeding to criticize the company might seem like a lighthearted joke, but I believe he was serious.
Why? Because he now wields a weapon—the AR glasses.
With the support of various institutions and a team of highly skilled professionals, he has likely achieved some notable milestones. Yet, as someone who has been a devoted Apple user since the PowerBook 540c, I still do not sense any real craftsmanship or identity in what he creates.
This sentiment extends to other IT giants that currently dominate the world—Meta, Amazon, Tesla, Microsoft, and Google.
Just by listing their names, readers of this text are likely already picturing their respective CEOs.
In the past, I wrote that Steve Jobs was not an artist.
What he excelled at was weaving together scattered ideas from across the world, expanding upon them, and linking them to the future.
The true creator was Jonathan Ive.
A minority of people may share this perspective with me.
However, when I see these IT moguls quickly shifting their corporate stances the moment the possibility of Trump returning to power emerges, I feel compelled to speak my mind.
The AR glasses, the cars—everything they create lacks a fundamental concept.
Call it ideology or, in lighter terms, identity.
It is true that Tim Cook and Apple’s current team have become more prone to letting slip details about upcoming products before their official release.
I have always loved music.
Artists shut themselves in a studio, cutting off the outside world, pouring their anger, hatred, joy, and sorrow into each note with intense focus.
It’s as if they are entrusting something to their music.
And when they finally release their album, they explain the emotions and thoughts behind its creation.
(Prince, whom I admire, rarely spoke about his work, so understanding his art required engaging with the final product itself.)
Until an album is complete and released, artists say nothing.
It was those artists who moved me to my core.
The faint glow of Apple’s innovation still remains within me.
Not even last year’s widely criticized "failure"—the Apple Vision Pro—could extinguish it.
In fact, it shines even brighter than the iPhone.
Because beyond its cutting-edge electronic components, I can sense a concept, an ideology.
Unfortunately, I will never feel the same from Meta’s AR glasses or Tesla’s cars.
I have written at length, but here is the key article:
**Tim Cook Donates Over $1.5 Million to Trump’s Inauguration Ceremony**
🔗 [Gigazine Article](gigazine.net/news/20250104-apple-ceo-tim-cook-donates-1-m...)
At first glance, this might make it seem like Tim Cook, like other tech CEOs, has sold his soul. But that is not the case.
While Cook personally donated to Trump, Apple itself did not follow the same path as other companies.
Apple refused to bow to Trump.
If asked what Apple’s ideology truly is, I would answer this:
**Apple is a group of individuals who believe in themselves.**
Steve Jobs, watching from heaven, is probably chuckling at this overly serious text I wrote.
A company that does not pander to Trump—
That is Apple. :)
### January 15
After reading a heartwarming article.
**Mitsushiro Nakagawa**
---
**Postscript:**
Corrections made:
Before: "Appearing on Apple's podcast"
After: "Appearing on a podcast originating from Apple"
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:
Photo Music and iTunes Playlist Link::
music.apple.com/jp/playlist/photo-music/pl.u-Eg8qefpy8Xz
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消えた境界線から生まれたもの ~ 去ってゆく川村記念美術館を振り返って ~
www.flickr.com/photos/stealaway/54020588671/in/dateposted...
What Emerged from the Vanishing Boundaries~ Reflecting on the Departing Kawamura Memorial Museum ~
www.flickr.com/photos/stealaway/54020588671/in/dateposted...
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8mm film of our honeymoon resurrected after decades.
youtu.be/zH-dG7bMeL4?si=yLF5_f1m-LhAVdPp
We found the 8mm film of our honeymoon for the first time in decades, and burned it onto a DVD.
On June 6, 1993, we got married, and headed straight to Nassau, Bahamas, via New York.
Our destination was the pink sand beach where the late Princess Diana went on her honeymoon.
If you're heading to the Bahamas, this might be a good reference.
The hotel we stayed at was the Ramada Hotel, which no longer exists.
My wife is showing us the hotel room.
But now you can see the beautiful scenery in real time.
When I played the DVD that arrived, it showed footage of our arrival in the Bahamas.
Please take a look if you'd like.
This time, we asked Fujifilm to make the DVD.
I'll post the link below.
Digitize videos and photos and convert them to DVDs | Fujifilm
fujifilmmall.jp/conversion/?_gl=1*1smvac9*_gcl_au*NTA1NDU....
#Bahamas #Nassau #PinkSandBeach #Honeymoon #1993
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Important Notices.
I have relaxed the following conditions.
I will distribute my T-shirt to the world for free.
m.flickr.com/photos/stealaway/50656401427/in/dateposted-p...
m.flickr.com/photos/stealaway/50613367691/in/dateposted-p...
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Exhibition in 2025
Theme
The Nightfly
Images
Donald Fagen … I.G.Y.
youtu.be/Ueivjr3f8xg?si=xmqGPQjyIKoTs4Q5
Live.
youtu.be/Di0_KYtmVKI?si=CLFpU2n0gXahqLPB
Mitsushiro - Nakagawa
Organizer
Design Festa
Location
Tokyo Big Sight
Date
Autumn 2025.
exhibition.mitsushiro.nakagawa@gmail.com
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Notice regarding "Lot No.402_”.
From now on I will host "Lot No.402_".
The work of Leonardo da Vinci who was sleeping.
That is the number when it was put up for auction.
No sign was written on the work.
So this work couldn't conclude that it was his work.
However # as a result of various appraisals # it was exposed to the sun.
A work that no one notices. A work that speaks quietly without a title.
I will continue to strive to provide it to many people in various ways.
October 24 2020 by Mitsushiro - Nakagawa.
Mitsushiro Nakagawa belong to Lot No. 402 _.Copyright©︎2025 Lot No.402_ All rights reserved.
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Profile.
In November 2014 # we caught the attention of the party selected to undertake the publicity for a mobile phone that changed the face of the world with just a single model # and will conclude a confidentiality agreement with them.
drive.google.com/drive/folders/1vBRMWGk29EmsoBV2o9NM1LIVi...
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Here’s a translated version with a style suitable for a news site introduction:
---
### **Interview and Novel: My Work**
I published a book in the past.
At that time, I uploaded my interview as a PDF online, both in Japanese and English.
Now, I am making it available for free.
More details can be found on Amazon.
**Writing a Novel.**
**Photography Techniques.**
**The Sense of Distance Between the Creator and the Work.**
These all share a common theme.
I put into words the things I felt and left them behind as a record.
I hope my text reaches many readers.
Thank you.
**Mitsushiro**
🔗 **[Access the Files Here](drive.google.com/drive/folders/1vBRMWGk29EmsoBV2o9NM1LIVi...)**
### **Contents**
📄 **1. Interview (English Version)**
📖 **2. Novel: *Unforgettable* (English Version)**
📄 **3. Interview (Japanese Version)**
📖 **4. Novel: *Unforgettable* (Japanese Version)**
*(This novel is dedicated to future artists.)*
*(456 pages in Japanese manuscript format.)*
drive.google.com/drive/folders/1vBRMWGk29EmsoBV2o9NM1LIVi...
---
### **Synopsis**
Kei Kitami, a student preparing for university entrance exams, meets Kaori Kamimura, an event companion six years his senior, through social media.
Kaori has come to Tokyo with a dream—to befriend famous artists.
To achieve this, she needs the influence of Ryo Osawa, a well-known radio producer.
During a live radio broadcast, Osawa speaks directly to Kaori:
*"I have a wife and child. But still, I want to see you."*
Meanwhile, Rika Sanjo, Kei’s classmate who secretly harbors feelings for him, is closely watching Kaori’s every move...
---
Main story
There are two reasons why a person faces the sea.
One to enjoy a slice of shine in the sea like children bubbling over in the beach.
The other to brush the dust of memory like an old man who misses old days staring at the shine
quietly.
Those lead to only one meaning though they do not seem to overlap. It’s a rebirth.
I face myself to change tomorrow a vague day into something certain.
That is the meaning of a rebirth.
I had a very sweet girlfriend when I was 18.
After she left I knew the meaning of gentleness for the first time and also a true pain of loss. After
she left # how many times did I depend too much on her # doubt her # envy her and keep on telling lies
until I realized it is love?
I wonder whether a nobody like me could have given something to her who was struggling in the
daily life in those days. Giving something is arrogant conceit. It is nothing but self-satisfaction.
I had been thinking about such a thing.
However I guess what she saw in me was because I had nothing. That‘s why she tried to see
something in me. Perhaps she found a slight possibility in me # a guy filled with ambiguous unstable
tomorrow. But I wasted days depending too much on her gentleness.
Now I finally can convey how I felt in those days when we met.
drive.google.com/drive/folders/1vBRMWGk29EmsoBV2o9NM1LIVi...
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iBooks. Electronic Publishing. It is free now.
0.about the iBooks.
drive.google.com/drive/folders/1vBRMWGk29EmsoBV2o9NM1LIVi...
1.unforgettable '(ENG.ver.)(This book is Dedicated to the future artist.)
itunes.apple.com/us/book/unforgettable/id1216576828?ls=1&...
2.unforgettable '(JNP.ver.)(This book is Dedicated to the future artist.)
itunes.apple.com/us/book/unforgettable/id1216584262?ls=1&...
3. Streamlined trajectory.(For Japanese only.)
itunes.apple.com/us/book/%E6%B5%81%E7%B7%9A%E5%BD%A2%E3%8... =11
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My Novel : Unforgettable'
(This book is Dedicated to the future artist.)
Kei Kitami, a student preparing for university entrance exams, meets Kaori Kamimura, an event companion six years his senior, through social media.
Kaori has come to Tokyo with a dream—to befriend famous artists.
To achieve this, she needs the influence of Ryo Osawa, a well-known radio producer.
During a live radio broadcast, Osawa speaks directly to Kaori:
*"I have a wife and child. But still, I want to see you."*
Meanwhile, Rika Sanjo, Kei’s classmate who secretly harbors feelings for him, is closely watching Kaori’s every move...
Mitsushiro Nakagawa
All Translated by Yumi Ikeda .
images.
U2 - No Line On The Horizon Live in Dublin
www.youtube.com/watch?v=_oKwnkYFsiE&feature=related
Main story
There are two reasons why a person faces the sea.
One to enjoy a slice of shine in the sea like children bubbling over in the beach.
The other to brush the dust of memory like an old man who misses old days staring at the shine
quietly.
Those lead to only one meaning though they do not seem to overlap. It’s a rebirth.
I face myself to change tomorrow a vague day into something certain.
That is the meaning of a rebirth.
I had a very sweet girlfriend when I was 18.
After she left I knew the meaning of gentleness for the first time and also a true pain of loss. After
she left # how many times did I depend too much on her # doubt her # envy her and keep on telling lies
until I realized it is love?
I wonder whether a nobody like me could have given something to her who was struggling in the
daily life in those days. Giving something is arrogant conceit. It is nothing but self-satisfaction.
I had been thinking about such a thing.
However I guess what she saw in me was because I had nothing. That‘s why she tried to see
something in me. Perhaps she found a slight possibility in me # a guy filled with ambiguous unstable
tomorrow. But I wasted days depending too much on her gentleness.
Now I finally can convey how I felt in those days when we met.
1/9
www.flickr.com/photos/stealaway/24577016535/in/dateposted...
2/9
www.flickr.com/photos/stealaway/24209330259/in/dateposted...
3/9
www.flickr.com/photos/stealaway/23975215274/in/dateposted...
4/9
www.flickr.com/photos/stealaway/24515964952/in/dateposted...
5/9
www.flickr.com/photos/stealaway/24276473749/in/dateposted...
6/9
www.flickr.com/photos/stealaway/24548895082/in/dateposted...
7/9
www.flickr.com/photos/stealaway/24594603711/in/dateposted...
8/9
www.flickr.com/photos/stealaway/24588215562/in/dateposted...
9/9
www.flickr.com/photos/stealaway/24100804163/in/dateposted...
Fin.
images.
U2 - No Line On The Horizon
www.youtube.com/watch?v=_oKwnkYFsiE&feature=related
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Title of my book : unforgettable'
Author : Mitsushiro Nakagawa
Out Now.
ISBN978-4-86264-866-2
in Amazon.
Unforgettable’ amzn.asia/d/eG1wNc5
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The schedule of the next novel.
Still would stand all time. (Unforgettable '2)
(It will not go away forever)
Please give me some more time. That is Japanese.
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My Works.
1 www.flickr.com/photos/stealaway/48072442376/in/dateposted...
2 www.flickr.com/photos/stealaway/48078949821/in/dateposted...
3 www.flickr.com/photos/stealaway/48085863356/in/dateposted...
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Do you want to hear my voice?
:)
1
About the composition of the picture posted to Flicker. First type.
2
About the composition of the picture posted to Flicker. Second type.
3
About when I started Fotolog. Architect 's point of view.
4
Why did not you have a camera so far?
5
What is the coolest thing? The photo is as it is.
6
About the current YouTube bar. I also want to tell # I want to leave.
7
About Japanese photographers. Japanese YouTube bar is Pistols.
8
The composition of the photograph is sensibility. Meet the designers in Milan. Two questions.
9
What is a good composition? What is a bad composition?
10
What is the time to point the camera? It is slow if you are looking into the viewfinder or display.
11
Family photos. I can not take pictures with others. The inside of the subject.
12
About YouTube 's photographer. Camera technology etc. Sensibility is polished by reading books.
13
About the Japanese newspaper. A picture of a good newspaper is Reuters. If you continue to look at useless photographs # it will be useless.
14
About Japanese photographers. About the exhibition.
Summary. I wrote a novel etc. What I want to tell the most.
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I talked about how to make a work.
About work production 1/2
About work production 2/2
1 Photo exhibition up to that point. Did you want to go?
2 Well # what is an exhibition that you want to visit even if you go there?
3 Challenge to exhibit one work every month before opening a solo exhibition at the Harajuku Design Festa.
4 works are materials and silhouettes. Similar to fashion.
5 Who is your favorite artist? What is it? Make it clear.
6 Creating a collage is exactly the same as taking photos. As I wrote in the interview # it is the same as writing a novel.
7 I want to show it to someone # but I do not make a piece to show it. Aim for the work you want to decorate your own room as in the photo.
8 What is copycat? Nowadays # it is suspected to be beaten. There is something called Mimesis?
kotobank.jp/word/Mimesis-139464
9 What is Individuality? What is originality?
www.youtube.com/user/mitsushiro/
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Explanation of composition. 2
1.Composition explanation 2 ... 1/4
2.Composition explanation 2 ... 2/4
3.Composition Explanation 2 ... 3/4
4.Composition Explanation 2 ... 4/4
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My shutter feeling.
Today's photo.
It is a photo taken from Eurostar.
This video is an explanation.
I went to Milan in 2005.
At that time # I went from Milan to Venice.
We took Eurostar into the transportation.
This photo was not taken from a very fast Eurostar.
When I changed the track # I took a picture at the moment I slowed down.
Is there a Japanese beside you?
Please have my video translated.
:)
In the Eurostar to Venice . 2005. shot ... 1 / 2
www.flickr.com/photos/stealaway/49127115021/in/dateposted...
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Miles Davis sheet 1955-1976.
drive.google.com/drive/folders/1vBRMWGk29EmsoBV2o9NM1LIVi...
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flickr.
www.flickr.com/photos/stealaway/
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instagram.
www.instagram.com/mitsushiro_nakagawa/
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Pinterest.
www.pinterest.jp/MitsushiroNakagawa/
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YouPic
youpic.com/photographer/mitsushironakagawa/
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twitter.
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facebook.
www.facebook.com/mitsushiro.nakagawa
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threads.
www.threads.net/@mitsushiro_nakagawa
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Blue sky.
bsky.app/profile/mitsushironakagawa.bsky.social
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Amazon.
www.amazon.co.jp/gp/profile/amzn1.account.AHSKI3YMYPYE5UE...
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My statistics (as of December 15, 2024)
How many views have you had on Flickr and Youpic
Flickr 24,260,172 Views
Youpic 7,957,826 Views
x.com/mitsushiro/status/1868185157909582014
My statistics (as of August 1, 2024)
How many views have I had on Flickr and Youpic
Flickr 23,192,383 Views
Youpic 7,574,603 Views
My statistics. (As of February 7, 2024)
What is the number of accesses to Flickr and YouPic
Flickr 21,694,434 Views
Youpic 7,003,230 Views
What is the number of accesses to Flickr and YouPic?
(As of November 13, 2023)
Flickr 20,852,872 View
Youpic 6,671,486 View
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Japanese is the following.
drive.google.com/drive/folders/1vBRMWGk29EmsoBV2o9NM1LIVi...
Title of my book unforgettable' Mitsushiro Nakagawa Out Now. ISBN978-4-86264-866-2
Mitsushiro Nakagawa belong to Lot No. 204 _ . Copyright©︎2024 Lot No.402_ All rights reserved.
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Title.
早朝の 駅前。
( LUMIX G3 shot )
ロンドン。イギリス。2015. … 1 / 6
(今日の写真。それは未発表です。)
Images.
Busty and the Bass - Fourth Wall
youtu.be/0GlX8-6P5Fk?si=BW-3Rk4gGkykIK5C
::写真の音楽とiTunesプレイリストをリンク::
music.apple.com/jp/playlist/photo-music/pl.u-Eg8qefpy8Xz
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重要なお知らせ。
僕は以下の条件を緩和します。
僕はTシャツを無料で世界中へ配布します。
m.flickr.com/photos/stealaway/50656401427/in/dateposted-p...
m.flickr.com/photos/stealaway/50613367691/in/dateposted-p...
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2025年の展示
テーマ
The Nightfly
Images
Donald Fagen … I.G.Y.
youtu.be/Ueivjr3f8xg?si=xmqGPQjyIKoTs4Q5
Live.
youtu.be/Di0_KYtmVKI?si=CLFpU2n0gXahqLPB
Mitsushiro - Nakagawa
主催
デザインフェスタ
場所
東京ビッグサイト
日程
2025年 秋。
exhibition.mitsushiro.nakagawa@gmail.com
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タイトル
“” A.I. アップルのアイデンティティについて””
www.flickr.com/photos/stealaway/54271473379/in/dateposted...
マークザッカーバーグ氏の批判に、アップルは耳を傾けるだろうか。
僕にはそう思えない。アップルヴィジョンプロに夢を見せられた僕には。
メタのマークザッカーバーグ氏は、有名なポッドキャストに出演し、アップルはアイフォン以来革新的な製品を発売せず、売り上げも落ちていると批判したようだ。
アップル発祥のポッドキャストに現れ、アップルを批判すると言うのは軽いジョークに思えるが、真剣に訴えたんだろうと僕は思う。
なぜなら、今の彼はARグラスという武器を手にしているからだ。
おそらく、さまざまな関係機関や優秀なスタッフが彼を支え、それなりの目標を達成したんだろうが、パワーブック540cから使い続けてきた僕のような古いアップルファンからしてみれば、まだ物作りのアイデンティを彼からはまったく感じない。
これは他の、現在世界を制覇しているIT企業らも含む。
メタ、アマゾン、テスラ。マイクロソフト。グーグル。
社名が並ぶだけで、このテキストを読まれている方は名前と顔をすでに浮かべているはずだ。
僕は以前、スティーブ・ジョブズはアーティストではないと書いた。
彼は、現世界に散らばったイメージを紡ぎ合わせ、それを膨らます。そして未来へリンクさせる。それが得意だっただけだ。
実際に創作していたのはジョナサンアイブだ。少数ながらも僕のような意見を持っている方もいるだろう。
しかし、先述したIT関連の面々が、トランプ氏に再び権力が戻るとなった途端に会社の方針を覆す様子を見ていると、僕は一言、どうしても意見したいのだ。
彼らが作ったARグラスや車などには、肝心な観念が欠けている。思想という重い言葉や、軽めのアイデンティティと言い換えてもいい。
確かに、ティムクック氏やアップルの現在のスタッフらは、発売前の商品に関して口を滑らせることが多くなった。
僕は、以前から書いているように音楽が大好きだ。
外界を断ち、アーティストらがスタジオにこもって、怒りや憎しみ、喜びや悲しみを一心不乱になって一音に吹き込む。何かを託すと言ってもいい。
そして、完成したアルバムを発表し、どんな思いを込めて制作したのかを語る。(僕が好きなプリンスはほとんど語らなかったので、完成された作品を理解する必要があった)
アルバムが完成し、発表するまで、彼らはひとことも語らない。
僕の胸を震わせたのは、そんなアーティストらだった。
僕の中に淡く灯っているアップルの革新性は、いまでも消えていない。
それは昨年、大失敗だと批判されたアップルヴィジョンプロでさえも消すことはできない。むしろ、アイフォン以上の強烈な光を放っている。
ただの斬新な電化製品ではなく、細かな電気部品の向こうに観念や思想を感じるからだ。
残念ながら、メタのARグラスやテスラの車に、僕がその観念や思想を感じることは今後もないだろう。
長々と書いてきたが、結論は以下の記事だ。
1.5億円超をAppleのティム・クックCEOがトランプの大統領就任式に寄付
gigazine.net/news/20250104-apple-ceo-tim-cook-donates-1-m...
一読すると、ティムクック氏も他のIT会社同様、魂を売ったのかと思われるがそうではない。
ティムクック氏は個人的にトランプ氏へ献金をするが、アップル社だけは他社と同じようには献金していない。
アップルは、トランプ氏になびかなかったのだ。
アップル社の観念や思想とは、具体的に何かと訊かれたら、僕はこう答える。
アップルとは、自分自身を信じる人間が集まっているグループだ。
たぶん、天国のスティーブ・ジョブズは、僕がクソ真面目に書いたテキストを、鼻で笑っていることだろう。
トランプ氏に媚びない会社。
それがAppleさ。:)
1月15日
嬉しい記事を読んだ後で。
Mitsushiro Nakagawa.
追記。
修正しました。
修正前 アップルのポッドキャストに現れ、
修正後 アップル発祥のポッドキャストに現れ、
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新婚旅行の8mmフィルムを数十年ぶりに復活😃
youtu.be/zH-dG7bMeL4?si=yLF5_f1m-LhAVdPp
新婚旅行の8mmフィルムが数十年ぶりに出てきて、DVDに焼きました。
1993年6月6日、僕らは結婚し、そのままニューヨークを経由して、バハマのナッソーへ向かいました。
目的地は、亡くなられたダイアナ妃が新婚旅行へ向かったピンクサンドビーチです。
もしもこれからバハマへ向かうならば、参考に見てもよいかもしれません。
泊まったホテルは、今はもうないラマダホテル。
妻がホテルの部屋を紹介しています。
でも、今はリアルタイムで美しい景色が見られますね。
届いたDVDを再生したら、バハマに到着したところからの映像でした。
もしもよかったら見てください。
今回、DVD化を依頼した場所は、富士フィルムさんです。
下にリンクを貼っておきます。
ビデオや写真をデータ化しDVDに変換 | 富士フイルム
fujifilmmall.jp/conversion/?_gl=1*1smvac9*_gcl_au*NTA1NDU....
#バハマ #ナッソー #ピンクサンドビーチ #新婚旅行 #1993
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” Lot No.402_ ” に関するお知らせ。
今後、僕は、” Lot No.402_ ”を主催します。
このロットナンバーは、眠っていたレオナルドダヴィンチの作品がオークションにかけらた際に付されたものです。
作品にはサインなどがいっさい記されていなかったため、彼の作品だと断定できませんでした。
しかし、様々な鑑定の結果、陽の光を浴びました。
誰にも気づかれない作品。肩書がなくとも静かに語りかける作品。
僕はこれから様々な形で、多くの皆様に提供できるよう努めてゆきます。
2020年10月24日 by Mitsushiro - Nakagawa.
Copyright©︎2021 Lot No.402_ All rights reserved.
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プロフィール
2014年11月、たった1機種で世界を塗り替えた携帯電話の広告を請け負った選考者の目に留まり、秘密保持同意書を結ぶ。
drive.google.com/drive/folders/1vBRMWGk29EmsoBV2o9NM1LIVi...
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インタビューと小説。
僕の本について。
僕は、昔に本を出版しました。
その際に、僕のインタビューをPDFでネット上へアップロードしていました。
その日本語と英語。
僕は、無料でを公開します。
詳細は、アマゾンのサイトへ解説しました。
小説の書き方。
写真の撮影方法。
作品への距離感。
これらはすべて共通項があります。
僕は、僕が感じたことを文章にして、残しました。
僕のテキストが多くの人に読んでもらえることを望みます。
ありがとう。
Mitsushiro.
drive.google.com/drive/folders/1vBRMWGk29EmsoBV2o9NM1LIVi...
1 インタビュー 英語版
2 小説。unforgettable’ 英語版。
3 インタビュー 日本語版
4 小説。unforgettable’ 日本語版。(この小説は未来のアーティストへ捧げます)
(四百字詰め原稿用紙456枚)
あらすじ
大学を目指している北見ケイは、SNS上で、6歳年上のイベントコンパニオン、上村香織に出会う。
上京してきた香織の夢は、有名なアーティストの友達になるためだ。
そのためにはラジオ局のプロデューサー、大沢亮の存在が必要だった。
大沢は、ラジオの生放送中、香織へ語りかける。
「僕には妻子がある。しかし、僕は君に会いたいと思っている」
ケイの同級生で、彼を想っている三條里香は、香織の動向を探っていた。。。。。
本編
人が海へ向かう理由には、二つある。
ひとつは、波打ち際ではしゃぐ子供のように、今の瞬間の海の輝きを楽しむこと。
もうひとつは、その輝きを静かに見据えて、過ぎ去った日々を懐かしむ老人のように記憶の埃を払うこと。
二つは重なり合わないようではあるけれども、たったひとつの意味しか生まない。
再生だ。
明日っていう、曖昧な日を確実なものへと変えてゆくために、自分の存在に向き合う。
それが再生の意味だ。
十八歳だった僕には大切な人がいた。
drive.google.com/drive/folders/1vBRMWGk29EmsoBV2o9NM1LIVi...
5 流線形の軌跡。 日本語のみ。
drive.google.com/drive/folders/1vBRMWGk29EmsoBV2o9NM1LIVi...
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iBooks.電子出版。(現在は無料)
0.about the iBooks.
drive.google.com/drive/folders/1vBRMWGk29EmsoBV2o9NM1LIVi...
1.unforgettable’ ( ENG.ver.)(This book is Dedicated to the future artist.)
itunes.apple.com/us/book/unforgettable/id1216576828?ls=1&...
2.unforgettable’ ( JNP.ver.)(この小説は未来のアーティストへ捧げます)
itunes.apple.com/us/book/unforgettable/id1216584262?ls=1&...
3.流線形の軌跡。
itunes.apple.com/us/book/%E6%B5%81%E7%B7%9A%E5%BD%A2%E3%8...
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僕の小説。英語版
My Novel Unforgettable' (This book is Dedicated to the future artist.)
Mitsushiro Nakagawa
All Translated by Yumi Ikeda .
1/9
www.flickr.com/photos/stealaway/24577016535/in/dateposted...
2/9
www.flickr.com/photos/stealaway/24209330259/in/dateposted...
3/9
www.flickr.com/photos/stealaway/23975215274/in/dateposted...
4/9
www.flickr.com/photos/stealaway/24515964952/in/dateposted...
5/9
www.flickr.com/photos/stealaway/24276473749/in/dateposted...
6/9
www.flickr.com/photos/stealaway/24548895082/in/dateposted...
7/9
www.flickr.com/photos/stealaway/24594603711/in/dateposted...
8/9
www.flickr.com/photos/stealaway/24588215562/in/dateposted...
9/9
www.flickr.com/photos/stealaway/24100804163/in/dateposted...
Fin.
images.
U2 - No Line On The Horizon Live in Dublin
www.youtube.com/watch?v=_oKwnkYFsiE&feature=related
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Title of my book : unforgettable'
Author : Mitsushiro Nakagawa
Out Now.
ISBN978-4-86264-866-2
in Amazon.
Unforgettable’ amzn.asia/d/eG1wNc5
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僕の作品。
1 www.flickr.com/photos/stealaway/48072442376/in/dateposted...
2 www.flickr.com/photos/stealaway/48078949821/in/dateposted...
3 www.flickr.com/photos/stealaway/48085863356/in/dateposted...
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あなたは僕の声を聞きたいですか?
:)
1
フリッカーへ投稿した写真の構図について。1種類目。
2
フリッカーへ投稿した写真の構図について。2種類目。
3
Fotologを始めた時について。 建築家の視点。
4
なぜ、今までカメラを手にしなかったのか?
5
何が一番かっこいいのか? 写真はありのままに。
6
現在のユーチューバーについて。僕も伝え、残したい。
7
日本人の写真家について。日本のユーチューバーはピストルズ。
8
写真の構図は、感性。ミラノのデザイナーに会って。二つの質問。
9
良い構図とは? 悪い構図とは?
10
カメラを向ける時とは? ファインダーやディスプレイを覗いていては遅い。
11
家族写真。他人では撮れない。被写体の内面。
12
ユーチューブの写真家について。カメラの技術等。感性は、本を読むことで磨く。
13
日本の新聞について。良い新聞の写真はロイター。ダメな写真を見続けるとダメになる。
14
日本の写真家について。その展示について。
まとめ。僕が書いた小説など。僕が最も伝えたいこと。
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作品制作について 1/2
作品制作について 2/2
1 それまでの写真展。自分は行きたいと思ったか?
2 じゃ、自分が足を運んででも行きたい展示とは何か?
3 原宿デザインフェスタで個展を開くまでに、毎月ひとつの作品を展示することにチャレンジ。
4 作品とは、素材とシルエット。ファッションと似ている。
5 自分が好きなアーティストは誰か? どんなものなのか? そこをはっきりさせる。
6 コラージュの作成も写真の撮り方と全く同じ。インタビューに書いたように小説の書き方とも同じ。
7 誰かに見せたい、見せるがために作品は作らない。写真と同じように自分の部屋に飾りたい作品を目指す。
8 パクリとは何か? 昨今、叩かれるパクリ疑惑。ミメーシスとは?
https://ja.wikipedia.org/wiki/ミメーシス
https://kotobank.jp/word/ミメーシス-139464
9 個性とはなにか? オリジナリティってなに?
おまけ 眞子さまについて
という流れです。
お時間がある方は是非聴いてください。
:)
www.youtube.com/user/mitsushiro/
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構図の解説2
1.構図の解説2 ... 1/4
2.構図の解説2 ... 2/4
3.構図の解説2 ... 3/4
4.構図の解説2 ... 4/4
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僕のシャッター感覚
In the Eurostar to Venice . 2005. shot ... 1 / 2
www.flickr.com/photos/stealaway/49127115021/in/dateposted...
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Miles Davis sheet 1955-1976.
drive.google.com/drive/folders/1vBRMWGk29EmsoBV2o9NM1LIVi...
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flickr.
www.flickr.com/photos/stealaway/
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YouTube.
www.youtube.com/user/mitsushiro/
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instagram.
www.instagram.com/mitsushiro_nakagawa/
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Pinterest.
www.pinterest.jp/MitsushiroNakagawa/
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YouPic
youpic.com/photographer/mitsushironakagawa/
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fotolog
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twitter.
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facebook.
www.facebook.com/mitsushiro.nakagawa
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threads.
www.threads.net/@mitsushiro_nakagawa
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Blue sky.
bsky.app/profile/mitsushironakagawa.bsky.social
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Amazon.
www.amazon.co.jp/gp/profile/amzn1.account.AHSKI3YMYPYE5UE...
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僕の統計。(2024年12月15日現在)
フリッカー、ユーピクのアクセス数は?
Flickr 24,260,172 View
Youpic 7,957,826 View
x.com/mitsushiro/status/1868185157909582014
僕の統計。(2024年8月1日現在)
フリッカー、ユーピクのアクセス数は?
Flickr 23,192,383 View
Youpic 7,574,603 View
僕の統計。(2024年2月7日現在)
フリッカー、ユーピクのアクセス数は?
Flickr 21,694,434 View
Youpic 7,003,230 View
僕の統計。(2023年11月13日現在)
フリッカー、ユーピクのアクセス数は?
Flickr 20,852,872 View
Youpic 6,671,486 View
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Japanese is the following.
drive.google.com/drive/folders/1vBRMWGk29EmsoBV2o9NM1LIVi...
Title of my book unforgettable' Mitsushiro Nakagawa Out Now. ISBN978-4-86264-866-2
Mitsushiro Nakagawa belong to Lot no.204_ . Copyright©︎2020 Lot no.204_ All rights reserved.
_________________________________
_________________________________
” Lot No.402_ ” に関するお知らせ。
今後、僕は、” Lot No.402_ ”を主催します。
このロットナンバーは、眠っていたレオナルドダヴィンチの作品がオークションにかけらた際に付されたものです。
作品にはサインなどがいっさい記されていなかったため、彼の作品だと断定できませんでした。
しかし、様々な鑑定の結果、陽の光を浴びました。
誰にも気づかれない作品。肩書がなくとも静かに語りかける作品。
僕はこれから様々な形で、多くの皆様に提供できるよう努めてゆきます。
2020年10月24日 by Mitsushiro - Nakagawa.
Copyright©︎2024 Lot No.402_ All rights reserved.
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April is Mathematics and Statistics Month
April marks a time to increase the understanding and appreciation
of mathematics and statistics. Why? Both subjects play a significant role in addressing many real-world problems—internet security, sustainability, disease, climate change, the data deluge, and much more.
Research in these and other areas is ongoing, revealing new results and applications every day in fields such as medicine, manufacturing, energy,
biotechnology, and business. We are also seeing how Mathematics and Statistics are being used to inform us of the COVID-19 virus today.
Mathematics and statistics are important drivers of innovation in our technological world, in which new systems and methodologies continue to become more complex. While some found Mathematics and even Statistics classes to be difficult and challenging, others have made it their profession which includes teaching, computer programming, data processing, actuarial analysis, and scientific research.
We also remember that “Figures never lie, but Liars always figure!” Caution is always used when analyzing any set of numbers, making sure that all the parameters are covered in making determinations for future decisions. Remember, it wasn’t raining when Noah built the Ark! He was also told to calculate the dimensions of the ark in cubits, count animals two-by-two, and store enough food for their almost one-year time on that ark after the 40 days and 40 nights of rain. Was Noah using Mathematics and Statistics? I’m sure he was! Read more in Genesis 6-9!
Here, two of our mathematicians and statisticians are using some of the typical tools used in the past and present. The two index cards are from my little ‘file box’ of equations which I used in college (back in 1971-1974) where equations and other formulae were written and stored. These were useful when I was working on assignments.
And yes, I did use a slide rule back then, as the hand-held calculators hadn't been produced yet.
20200414 105/366
Leica-M6 TTL 0.85. Rangefinder.
Elmarit-M 1:2.8/90mm.
Kodak T-Max 100asa. Developer Kodak T-Max 1+4 20º 7 1/2 min.
Nikon Super Coolscan 5000 ED
Thank you everyone for your visit, favorites and comments
Merci à tous pour votre visite, favoris et commentaires
Marseille van 1 mei T/M 8 mei.
🔴Leica my point of view.
Wetzlar, Deutschland.
Leica-CL 1974 Rangefinder,Serial Number 1395533
Leica-M 6 TTL 0.72 1998 Rangefinder Serial Number 2466527
Leica-M6 TTL 0.85 2001 Rangefinder Serial Number 2755204
Scratched into the horizontal surface of one of the steps leading to Il-Maqluba. Who knows if they still care for each other?
It's not about where you oringinally are, it's not about the colour, it's not about what you do for living, it's all about mutual understanding, it's all about caring, it's all about respecting each others, it's all about love.
It's been a great honor to be part of your wedding, when Phyu called me in an early Sunday morning when I was still in bed, and told me the wedding in just a couple of weeks after, I felt a little urgency and again when she added, a videographer was also needed, my nerve came in immediately.
Immediately I requested to a casual meet up which is the very evening. .
Thankfully, everything went well including my videographer visa and air tickets.
As a wedding photographer, I always want to present with all the best that I have, all the passion that I have without compromising anything. And thank you for Ben & Phyu, replied with full respect and trust. That could only made us to want to give you more beyond what we had previously promised.
Again, thank you for giving us apportunity to be able to capture your big day.
Wishing you have a little sweet family.
May the Lord blesses your family now and forever.
Photo by Sithu Wu
Sithu Pictures Corner
“More Than Pictures, We Capture Love”
Facebook:
www.facebook.com/sithupicturescorner
Flickr:
www.flickr.com/photos/thrusithulens/sets
Instagram: sithupicturescorner
Wechat: sithuwu
Line: sithuwu
Tel: +65 90261636
Email: sithupicturescorner@gmail.com
That's my motto, or slogan, or what ever it is that I put on my advertising, website and stuff. I think it explains what I feel about dog photography and what I can bring to it. It also means I'm on my belly a lot.
The Gay Games is the world's largest sporting and cultural event organized by and specifically for LGBT athletes, artists, musicians, and others. It welcomes participants of every sexual orientation and every skill level. Originally called the Gay Olympics, it was started in San Francisco in 1982, as the brainchild of Tom Waddell, whose goals were to promote the spirit of inclusion and participation, as well as the pursuit of personal growth in a sporting event. It retains many similarities with the Olympics, including the Gay Games flame which is lit at the opening ceremony.
The Gay Games is open to all who wish to participate, without regard to sexual orientation. There are no qualifying standards to compete in the Gay Games. It brings together people from all over the world, many from countries where homosexuality remains illegal and hidden.
The Federation of Gay Games (FGG) is the sanctioning body of the Gay Games. From its statement of concept and purpose:
The purpose of the Federation of Gay Games is to foster and augment the self-respect of lesbians and gay men throughout the world and to engender respect and understanding from the nongay world, primarily through an organized international participatory athletic and cultural event held every four years, and commonly known as the Gay Games.
Gay Games VIII were held in Cologne, Germany from July 31 to August 6, 2010.
I am being taught the theory of peace. I need only choose to listen. Birdsong draws back my wandering attention and re-calls me to task. I chose birdsong as my wake-up call, my chosen reminder.
Theory is just that. First comes a small dawning. Practice will follow. There will be no shortage of opportunities. My only option is how long this will take.
Everyone believes in what he made, for it was made by his believing it. The world must be looked at differently. Nothing real changes, what seems to change is not real. How often do i choose changing illusions?
I choose how i would see the world, i do it in my sleep and in my waking. I do it unconsciously although i mistake it for awareness. This choice is a mighty strength awaiting my true understanding of its powerfulness.
You are not where you are by accident.
In every one you see but the reflection of what you choose to have him be to you. I can choose to unite with him and join him in innocence and peace.
I must lay down all else but the vision of peace. Peace is impossible to those who look on war. I must choose to see peace. It is there, seen differently, seen through quiet eyes, through forgiving eyes.
Peace can only be shared.
Time is only there for learning purposes. There is no doubt that we will reach our goal.
This was the best I could do without trespassing and was taken from the disused platform 3 of Herne Bay Rail Station.
And be sure to check by my other acount: www.flickr.com/photos_user.gne?path=&nsid=77145939%40..., to see what else I saw Today!!
Yes I'm back again.
However due to my main computer on which I edit my work being struck down with a big bad virus, this picture and all the others I am uploading, were Unedited but have now been replaced with Edited versions. So enjoy and Thanks for your patience and understanding.
I do still hate everything about this shit that is new Flickr and always will, but an inability to find another outlet for my work that is as easy for me to use as the Old BETTER Flickr was, has forced me back to Flickr, even though it goes against everything I believe in.
I don't generally have an opinion on my own work, I prefer to leave that to other people and so based on the positive responses to my work from the various friends I had made on Flickr prior to the changes I have decided to upload some more of my work as an experiment and to see what happens.
So make the most of me before they delete my acount: www.flickr.com/photos/69558134@N05/?details=1, to stop me complaining!!
In preparation for his Beyond mission, ESA astronaut Luca Parmitano was at the Johnson Space Center in Houston, USA, in March 2019.
His training included working on a spacewalk, or Extravehicular Activity (EVA).
Luca already has two spacewalks under his belt but in ‘building 9’ of the Johnson Space Center, Luca worked with the Space Vehicle Mockup Facility and refreshed his skills on maintaining the US spacewalk suits called Extravehicular Mobility Units (EMU).
The training is important as Luca has some spacewalks planned that will see him repair the Alpha Magnetic Spectrometer AMS-02 particle detector. The dark-matter hunter was launched 16 May 2011 on Space Shuttle Endeavour mission STS-134. It records over 17 billion cosmic rays, particles, and nuclei a year. The results from AMS-02 have shown unexpected phenomena not predicted by cosmic ray models—and changing our understanding of the cosmos.
The mission was initially meant to run for only three years but has been so successful that its mission life has been extended. Three of the four cooling pumps however have stopped functioning and require repair.
A series of spacewalks are planned to replace the cooling system for the $2 billion instrument but they were never designed to be replaced in space.
The first spacewalk is intended to determine just how and where to intervene, and what tools will be needed for the process.
Luca will go beyond Earth’s atmosphere when he returns to the International Space Station in 2019 as part of Expedition 60/61, alongside NASA astronaut Andrew Morgan and Roscosmos astronaut Alexander Skvortsov.
Luca was the first of the 2009 astronaut class to fly to the Space Station. His first mission Volare, meaning 'to fly' in Italian, took place in 2013 and lasted 166 days, during which time Luca conducted two spacewalks and many experiments that are still running today.
Credits: ESA - S. Corvaja
Friends at last.
A series of AI-generated pictures of Little Red Riding Hood and her new friend, the wolf, in different art styles.
To be continued.
Pictures made with Midjourney.
I'm always happy to accept invites to groups as long as I can see their content. Should I see "this group is not available to you", my pictures won't be made available to that group. Thanks for your understanding.
"Once I knew only darkness and stillness... my life was without past or future... but a little word from the fingers of another fell into my hand that clutched at emptiness, and my heart leaped to the rapture of living." - Helen Keller
Perpetual Moonlight - www.flickr.com/groups/moochiesl/, Moochie (220, 60, 22) - Moderate
[Today’s are the last photos I will upload for a while, even though we have not yet finished our visit of the abbey of Fleury. However, I am leaving in a few minutes for a week-long photo trip through Provence, with lots more old stones to behold and photograph. Therefore, I will resume my uploads when I return, probably Thursday, September 22. Thanks a lot for your understanding, and until then, I wish you a pleasant week!]
We are currently visiting the Benedictine abbey of Fleury in the small town of Saint-Benoît-sur-Loire, not far from the city of Orléans. There are at least two reasons why this abbey is famous worldwide among Mediævalists and beyond: an architectural reason, and a historical one.
The architectural reason is the presence of the enormous and splendid tower-porch built under Abbot Gauzlin, whose abbacy ran from 1004 to 1030. It is a wonder of Romanesque architecture and art.
The historical reason, which makes this abbey even more unique, is that it houses the bones of saint Benoît, Saint Benedict in English, the founder and father of all monasticism in the Western World. Benoît, born Benedetto around 480 in Umbria, founded the Monte Cassino monastery in 529 and died there in 547. His Rule remains to this day the governing law of all Benedictine monasteries worldwide.
Around 580, the monastery on Monte Cassino was destroyed by a Lombard raid. The place was left deserted and utterly unoccupied for more than a century. In the late 600s, the abbot of Fleury, who had heard about the desertion and the fact that neither the remains of Saint Benedict, nor those of Saint Scholastica, his sister who had been buried with him, were properly honored, sent out a search-and-rescue party of monks led by Aygulf. They went to Cassino, discovered the resting place of the saints among the ruins of the abandoned monastery, and brought them back to France in 703. The bones of saint Benoît remained to this day in Fleury, while those of Scholastica went to the cathedral in Le Mans.
Some Italians, of course, disagree and claim that the bones of the saint never left Cassino. You will even find some modern-day internet websites that claim it! Having researched the question quite extensively, and read in particular a comprehensive (150 pages!) memoir published in 1882 by R.P. Dom François Chamard, osb, a brother of the abbey of Ligugé, my opinion is that the bones of saint Benoît were indeed transported to France (19th-century forensic examination of the bones goes in the same direction), even though a few of them may have inadvertently been left in the tomb at Cassino because they were not properly identified as human bones. Some of them were also given back to the Monte Cassino monks who had come to Fleury around 750 to ask for them once the decision had been made to rebuild the monastery there.
The abbey is on the UNESCO World Heritage list.
Traces of arrachements (“tearing-offs”) like this are proof that several successive vaulting methods were used.
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Blessed is the man who finds wisdom, the man who gains understanding, for she is more profitable than silver and yields better returns than gold. She is more precious than rubies; nothing you desire can compare with her.
"Proverbs 3:13-15 -Bible "
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To those who LOVE chocolate or caramel ... YES caramel
a chocolate with hazelnuts semi-truffle and a caramel Mille-feuille filled with
Crème patissière ... YUMM!
+ 4 in comment :) ♥
♥ ♥ ♥
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SILVER AND GOLD is the topic for Tuesday December 13
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Erwin Wurm, 2024
Albertina Modern, Vienna
In “Erwin Wurm: Schule,” the renowned artist invites viewers into a claustrophobic exploration of educational institutions through his latest work. Wurm discusses the intricate relationship between upbringing and education, as embodied by his tightly designed school building. He reflects on how both home and school shape our understanding of the world, challenging traditional views on education and knowledge.
Wurm’s installation features original teaching materials that once represented foundational concepts but have since become outdated or politically incorrect. Viewers are not just passive observers; they can enter the artwork, experiencing the discomfort of confinement while reflecting on the evolution of societal values. With interactive elements, such as signing their names on hanging pencils, the audience is drawn into the narrative, making the experience both personal and universal.
www.castyourart.com/erwin-wurm-schule.html?lang=enhttps:/...
“I think that we may safely trust a good deal more than we do. We may waive just so much care of ourselves as we honestly bestow elsewhere. Nature is well adapted to our weakness as our strength. The incessant anxiety and strain of some is a well nigh incurable form of disease. We are made to exaggerate the importance of what work we do; and yet how much is not done by us! or, what if we had been taken sick? How vigilant we are! determined not to live by faith if we can avoid it; all the day long on the alert, at night we unwillingly say our prayers and commit ourselves to uncertainties. So thoroughly and sincerely are we compelled to live, reverencing our life, and denying the possibility of change. This is the only way, we say; but there are as many ways as there can be drawn radii from one centre. All change is a miracle to contemplate; but it is a miracle which is taking place every instant. Confucius said, “To know that we know what we know, and that we do not know what we do not know, that is true knowledge.” When one man has reduced a fact of the imagination to be a fact to his understanding, I foresee that all men will at length establish their lives on that basis.”
― Henry David Thoreau, Walden
tags: nature-spirituality-psychology