Theories of Space and Time Compatible with the Inertia Principle

Details Theories of Space and Time Compatible with the Inertia Principle Theories of Space and Time Compatible with the Inertia Principle

1999-03-17

arxiv.org/abs/gr-qc/9903065v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

26 pages, Plain TeX, no figures

Scientific paper

A general formal definition of a theory of space and time compatible with the inertia principle is given. The formal definition of reference frame and inertial equivalence between reference frames are used to construct the class of inertial frames. Then, suitable cocycle relations among the coefficients of space-time transformations between inertial frames are established. The kinematical meaning of coefficients and their reciprocity properties are discussed in some detail. Finally, a rest frame map family is introduced as the most general constitutive assumption to obtain the coefficients and to define a theory of space and time. Four meaningful examples are then presented.

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