Does the principle of special relativity really hold?

Details Does the principle of special relativity really hold? Does the principle of special relativity really hold?

Jul 1986

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1986ap%26ss.124...63p&link_type=abstract

Astrophysics and Space Science (ISSN 0004-640X), vol. 124, no. 1, July 1986, p. 63-82.

Mathematics

3

Gravitational Fields, Lorentz Transformations, Relativity, Space-Time Functions, Transformations (Mathematics), Doppler-Fizeau Effect, Equations Of Motion, Euclidean Geometry, Inertial Reference Systems, Maxwell Equation

Scientific paper

The study starts from a reference frame, Sigma prime for which the pseudo-Euclidean holds, i.e., all laws in Sigma prime have the form of special relativity. The geometry of a reference frame Sigma, moving with constant velocity with regard to Sigma prime, is shown by using the well-known Galilei-transformation for the covariant space-time vector. In Sigma the geometry is different from the pseudo-Euclidean one, i.e., the principle of special relativity does not hold. The velocity of light in Sigma is direction dependent, but the null result of the Michelson-Morley experiment is demonstrated. Several useful transformation formulas are given. In particular, the Marinov-transformation (1979), as the transformation from the frame Sigma prime to Sigma, and conversely, are obtained. Maxwell's equations and the equations of motion in the reference frame are given. The theory is applied to some examples, e.g., the Doppler effect, the Fizeau experiment, the field of a charged particle, etc. The method can be generalized to an accelerated reference frame Sigma.

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