On the Fundamental Theorem of the Theory of Relativity

Foundations of Physics 46 (12):1680-1712 (2016)

Authors
Marco Mamone
Perugia University
Abstract
A new formulation of what may be called the “fundamental theorem of the theory of relativity” is presented and proved in -space-time, based on the full classification of special transformations and the corresponding velocity addition laws. A system of axioms is introduced and discussed leading to the result, and a study is made of several variants of that system. In particular the status of the group axiom is investigated with respect to the condition of the two-way isotropy of light. Several issues which are ignored or misunderstood in the literature are emphasized.
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DOI 10.1007/s10701-016-0038-3
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References found in this work BETA

Theory of Relativity.W. Pauli & G. Field - 1960 - Philosophy of Science 27 (2):223-224.
Noninvariant One-Way Velocity of Light.F. Selleri - 1996 - Foundations of Physics 26 (5):641-664.
Simultaneity as an Invariant Equivalence Relation.Marco Mamone-Capria - 2012 - Foundations of Physics 42 (11):1365-1383.
Spatial Directions, Anisotropy and Special Relativity.Marco Mamone Capria - 2011 - Foundations of Physics 41 (8):1375-1397.

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