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  • | title = Graphical representation of the four-dimensional space-time universe {{center|{{sc|Gruner, P}}. (Berne). – A) ''Graphical representation of the space-time universe in four dimensions''.}} ...
    6 KB (860 words) - 12:06, 8 October 2022
  • ...e.'', as a transformation of the character of an ordinary rotation, not in space ''xyz'' but in the four-dimensional manifold of the magnitudes ''xyzl'', wh ...es, how useful this analogy (or analytically spoken, the identity) between space-time rotations and ordinary rotations is for the kinematics of relativity t ...
    13 KB (1,963 words) - 12:03, 8 October 2022
  • and are mapping this space by the transformation <math>x'=kx,\ y'=y,\ z'=z</math>, and are introducing ...are changed by the previously given transformation in the same way as the space, however, the charge of corresponding volume elements stays the same. ...
    5 KB (702 words) - 11:40, 15 September 2023
  • ...successors. H. Hertz attempted to solve the problem by ascribing to empty space (the aether) quite similar physical properties to those possessed by ponder ...rest and of bodies in motion was led back to Maxwell's equations of empty space. Not only did this theory surpass that of Hertz from the point of view of m ...
    16 KB (2,568 words) - 23:45, 11 March 2025
  • [[Category:Space]] ...
    2 KB (249 words) - 22:22, 9 August 2022
  • ...a world-tube described by the system. In the figure, we have indicated the space in a one-dimensional way by the <math>X</math>-axis, and replaced time <mat ...nse) of the parallel cross-sections of the world-tube parallel to the same space. We will obtain this variation in the figure, by displacing all cross-secti ...
    17 KB (2,774 words) - 11:43, 15 September 2023
  • ...their general form are covariant in respect to arbitrary substitutions of space-time variables. If "matter" exists in the considered space, then its energy tensor appears on the right hand side of (2) or (3). We pu ...
    9 KB (1,363 words) - 20:06, 22 December 2024
  • ...is contraction, and it finds its special support in the formulation of a [[Space and Time (Hermann Minkowski)|famous lecture]] by {{sc|Minkowski}}; for acco ...be derived from each other by means of the known Lorentz transformation of space and time coordinates. If <math>K</math> and <math>K'</math> are such system ...
    10 KB (1,705 words) - 12:07, 8 October 2022
  • ...by {{sc|Langevin}}<ref>{{sc|P. Langevin}}, [[Translation:The Evolution of Space and Time|Scientia '''10''', 31. 1911]]</ref> in a lecture that is also very ...elativity theory, when one would try to refute that law of the isotropy of space by the aid of that geometric theorem. ...
    9 KB (1,369 words) - 18:53, 10 April 2024
  • ...ctions from the simple fundamental admission of the existence of matter in space, whose normal state is a state of motion. ...te directions. Thus it follows that when a system of particles are left in space with nothing to guide them, they will, by the rigid principles of dynamics ...
    20 KB (3,487 words) - 12:16, 27 November 2022
  • | title = Quantum noise at the nonlinear mapping of phase space ...ponents of a single-mode field are interpreted as coordinates of the phase space. ...
    27 KB (4,333 words) - 13:06, 27 March 2024
  • state vectors that are also generalized functions. By going over to a smaller space, be the space of complex-valued functions, including the necessary generalized functions, ...
    39 KB (6,273 words) - 21:54, 3 November 2023
  • ...l surprising for me. ''This'' propagation happens just exactly as in empty space. ...
    7 KB (1,193 words) - 07:32, 25 May 2022
  • ...eter distinguishing the location must be subtracted from the corresponding space-time variables, so that 9 are remaining now. All three proposals have the ( ...urth coordinate), in which the world-point represents an event in terms of space and time, and we claim: all events which can be effects of an event represe ...
    12 KB (2,031 words) - 13:07, 8 October 2022
  • ...bundles can in general be generated by guiding a three-dimensional linear space along an arbitrarily chosen worldline, so that it is constantly normal to i ...
    7 KB (1,133 words) - 20:59, 7 January 2021
  • ...d function. Therefore, the problem was considered at the discrete momentum space; sums appear instead of integrals; this makes the deduction complicate and ...mitted by a classical dipole. However, in the special case with non-unifom space, for example, an atom trapped in vicinity of a single-mode nanofiber ...
    15 KB (2,259 words) - 16:42, 27 June 2016
  • determine a <math>S_{3}</math> through <math>x</math> (''osculating space'') and three neighboring points of the curve. ...'binormal''; it is perpendicular to the osculating plane in the osculating space; ...
    43 KB (6,466 words) - 13:27, 8 October 2022
  • |{{sc|[[/Chapter IV|Space and Time]]}} ...
    7 KB (1,004 words) - 12:41, 2 July 2022
  • If one neglects this timeless change of space coordinates, one obtains the ''special Lorentz transformations'',<ref>See { ...tem, the three first components <math>s_{1},s_{2},s_{3}</math> represent a space vector <math>\mathfrak{s}</math>. A spacetime vector of second kind <math>f ...
    40 KB (6,367 words) - 13:17, 8 October 2022
  • ...pts and calculations become, when we allow ourselves to be led by the deep space-time understanding of {{sc|Minkowski}}. For the friend who suddenly passed ...der theory, the absolute world takes its place, ''i.e.'' the connection of space and time by the speed of light <math>c</math>, whose invariability now cons ...
    68 KB (11,348 words) - 12:04, 8 October 2022
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