A new formulation of what may be called the “fundamental theorem of the theory of relativity” is presented and proved in (3 + 1)-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. © 2016, Springer Science+Business Media New York.

On the Fundamental Theorem of the Theory of Relativity

MAMONE CAPRIA, Marco
2016-01-01

Abstract

A new formulation of what may be called the “fundamental theorem of the theory of relativity” is presented and proved in (3 + 1)-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. © 2016, Springer Science+Business Media New York.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11391/1416685
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