On the description of Lorentz reference frames in a relational model of space-time
S.V. Bolokhov1
(1) Peoples' Friendship University of Russia, Miklukho-Maklaya St. 6, Moscow 117198, Russia
Abstract
Basic mathematical constructions of the relational approach, developed in Yu.S. Vladimirov's recent papers, are considered. A simple illustration is suggested for the possibility of formulating the general geometric structure of N-dimensional Minkowski space-time in terms of associated unary systems of relations, and a mathematical correspondence between the class of Lorentz reference frames and the class of unary system bases is established.
References
- Yu. S. Vladimirov, Binary geometrophysics: space-time, gravitation. Grav. & Cosmol. 1 184 (1995).
- Yu. S. Vladimirov, Relational Theory of Space-Time and Interactions. Parts 1, 2 (MSU Publishing House, Moscow, 1996, in Russian).
- Yu. S. Vladimirov. Foundations of Physics (BINOM, Moscow, 2007).
- Yu. S. Vladimirov. Reference Frames in the Theory of Gravitaion (Energoizdat, Moscow, 1982, in Russian).
- G. G. Mikhailichenko, Mathematical Apparatus of the Physical Structures Theory (Gorno-Altaisk State University Press, 1997, in Russian).
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