Fock-Lorentz transformations and time-varying speed of light

Abstract

The theory of relativity was built up on linear Lorentz transformation. However, in his fundamental work "Theory of Space, Time and Gravitation" V.A.Fock shows that the general form of the transformation between the coordinates in the two inertial frames could be taken to be linear fractional. The implicit form of this transformation contains two constants of different space-time dimensions. They can be reduced to the constant "c" with the dimension of speed ("speed of light"), and to the constant "R" with the dimension of length (an invariant radius of the visible part of the Universe). The geometry of the "light cones" shows that "R" is a fundamental constant, but "c" depends on the time of transformation.

24 pages, LaTeX

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Cited by in corpus (10)

• Brane World Cosmologies with Varying Speed of Light
• Doubly Special Relativity in Position Space Starting from the Conformal Group
• Planck's uncertainty principle and the saturation of Lorentz boosts by Planckian black holes
• Position space versions of Magueijo-Smolin doubly special relativity proposal and the problem of total momentum
• Generalized commutation relations and Non linear momenta theories, a close relationship
• Generalized Relativistic Kinematics
• Operational indistinguishably of varying speed of light theories
• A Projective Interpretation of Some Doubly Special Relativity Theories
• Yet another derivation of special relativity transformations without the second postulate
• Cosmological contraction of the atomic space-time scale