Convention in the General Definition of Simultaneity

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Scientific Paper
Title Convention in the General Definition of Simultaneity
Author(s) R G Zaripov
Keywords simultaneity, special relativity theory, Galilean relativity, Euclidean relativity
Published 1998
Journal Galilean Electrodynamics
Volume 9
Number 4
Pages 63-71

Abstract

This paper is concerned with the signal method of clock synchronization. A general definition of the simultaneity of the distant events is derived. In the unified context, both isotropic and anisotropic descriptions of physical processes in inertial reference systems are considered. A new relation for the proper time is deduced. New transformations of coordinates in two-dimensional space-time are obtained. In special cases the transformations describe Euclidean, pseudo-Euclidean, Galilean and other kinematics. All such cases have validity equal to relativistic mechanics for the description of physical processes