finsler geometry, hypercomplex numbers and physics
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TIME AS A FIELD OF SYNCHRONIZED PROPER TIMES OF NORMAL CONGRUENCE OF WORLD LINES II
2015jkv | G.I. Garas’ko  // Electrotechnical Institute of Russia, Moscow, Russia, gri9z@yandex.ru, gri9z.wordpress.com

The paper shows that if one knows a Finsler function ?(p; x), and a function S(x), that is an operation as a function of coordinates, determining a normal congruence of world lines, and knows an element of proper times along them, one can draw a differential equation with partial derivatives for a field of proper times T(x) of the normal congruence of world lines. Interrelation of such sort between the abovementioned ideas is of special interest, when hypersurfaces of the level T(x)=const are the transversal supersurfaces to the normal congruence of the world lines determined by the world function SW(x).


English: Russian:
08_hngp23_garasko.pdf, 121,603 Kb, PDF