scispace - formally typeset
Search or ask a question
Topic

Special relativity (alternative formulations)

About: Special relativity (alternative formulations) is a research topic. Over the lifetime, 3102 publications have been published within this topic receiving 55015 citations.


Papers
More filters
Journal ArticleDOI
TL;DR: Weyl as discussed by the authors derived the general frequency shift formula for sources and observers moving arbitrarily in a general spacetime, motivated by cosmological considerations, and showed that the small stellar velocities are due to a common origin rather than to an adjustment.
Abstract: In Appendix III of the fifth edition of his book Space, Time, Matter [15] henceforth cited as W (which has not been translated into English), Hermann Weyl derived for the first time, motivated by cosmological considerations, the general frequency shift formula for sources and observers moving arbitrarily in a general spacetime. In his discussion of cosmology (W, 39) he argued for a non-stationary model. In support of this he cited astrophysical considerations (stellar ages and motions), used essentially Olbers’ argument against Einstein’s static model of 1917 [3], emphasized the significance of initial rather than (spatial) boundary conditions in GRT in relation to the difference between past and future, and asserted (in 1922!): “The present state of the system of stars on the sky does not resemble a final statistical state. The small stellar velocities are due to a common origin rather than to an adjustment, and it appears that the velocities between distant celestial objects on average increase with their mutual separations.” (My translation and underlining.) Weyl then constructed a corresponding model, an isotropically expanding substratum which occupies an initially small, but monotonically growing part of de Sitter’s hyperboloidal, globally non-stationary spacetime [7] depicted in Fig. 1, and applied to it his frequency shift formula. Using Slipher’s red shift data and Lundmark’s estimate of the distance of the Andromeda nebula, he obtained a ‘world radius’ (Hubble radius) of about 109 light years corresponding to a ‘Hubble constant’ of about 103 km/s/Mpc—6 years ahead of

8 citations

Posted Content
TL;DR: In this paper, it is shown that the resulting space-time geometry is Gaussian and the four-vector calculus has its roots in the complex-number algebra, furthermore, that Einstein's "relativity of simultaneity" is based on a misinterpretation of the principle of relativity.
Abstract: An analysis of composite inertial motion (relativistic sum) within the framework of special relativity leads to the conclusion that every translational motion must be the symmetrically composite relativistic sum of a finite number of quanta of velocity. It is shown that the resulting space-time geometry is Gaussian and the four-vector calculus has its roots in the complex-number algebra, furthermore, that Einstein's "relativity of simultaneity" is based on a misinterpretation of the principle of relativity. Among others predictions of the experimentally verified rise of the interaction-radii of hadrons in high energetic collisions are derived. From the theory also follows the equivalence of relativistically dilated time and relativistic mass as well as the existence of a quantum of time (fundamental length) and its quantitative value, to be found in good accord with experiment.

8 citations

01 Jan 2005
TL;DR: In this paper, it was shown that the image by the Lorentz transformation of a spherical light wavefront, emitted by a moving source, is an ellipsoidal light wave front, which is the direct geometrical representation of Poincare's relativity of simultaneity.
Abstract: We show that the image by the Lorentz Transformation of a spherical light wavefront, emitted by a moving source, is not a spherical light wavefront but an ellipsoidal light wavefront. Poincare's elongated ellipse is the direct geometrical representation of Poincare's relativity of simultaneity. Einstein's circles are the direct geometrical representation of Einstein's convention of synchronisation. Poincare's ellipse supposes another convention for the definition of space-time units involving that the Lorentz Transformation (LT) of an unit of length is directly proportional to the LT of an unit of time: This is Poincare's definition of isotropic elongated distance (with dilated travel time). The historical (polemical) problem of priorities is therefore scientifically solved because Einstein's explicit kinematics and Poincare's implicit kinematics are not the same. It is generally admitted that the observed expansion of space (Hubble) can only be considered in the framework of General Relativity (Robertson-Walker's metric) and not in the framework on Special Relativity (Minkowski's metric). We show that Poincare's relativistic kinematics, with the invariance of the quadratic form by LT, predicts both a dilation of time and an isotropic expansion of space as well.

8 citations

Journal ArticleDOI
TL;DR: Einstein's seminal paper on the special relativity theory of 1905 "On the Electrodynamics of Moving Bodies" is discussed in its historic context as mentioned in this paper, and it is shown how different was Einstein's approach to the electrodynamic of moving bodies from that of a major research effort which attempted to deduce all of physics from H. A. Lorentz's electromagnetic field theory.
Abstract: Einstein’s seminal paper on the special relativity theory of 1905 ’’On the Electrodynamics of Moving Bodies’’ is discussed in its historic context. It is shown how different was Einstein’s approach to the electrodynamics of moving bodies from that of a major research effort which attempted to deduce all of physics from H. A. Lorentz’s electromagnetic field theory—the electromagnetic world picture.

8 citations


Network Information
Related Topics (5)
General relativity
29K papers, 810.8K citations
85% related
Gravitation
29.3K papers, 821.5K citations
85% related
Quantum gravity
20.3K papers, 681.9K citations
83% related
Field (physics)
95K papers, 1.5M citations
82% related
Dark energy
20K papers, 750.8K citations
78% related
Performance
Metrics
No. of papers in the topic in previous years
YearPapers
202152
202073
201970
201870
201790
201693