ON TIME

Einsteinian and non-Einsteinian CC relativity theory

Lyubomir T. Gruyitch

University of Technology Belfort-Montbeliard (UTBM),

Site de Belfort, Rue Thierry Mieg - 90010 Belfort Cedex - France

Abstract

The fundamentals of a new theory on relativity of time, which is outlined in the paper, are the properties of time, compatibility and consistency.

One of the basic properties of time is its independence of everybody and of everything. Time is independent of space. This rejects the attitude of the Einsteinian relativity theory that time depends of space.

Compatibility of new temporal and spatial coordinate transformations, which is explained in the paper, is crucial for their validity and applications. The new coordinate transformations are based on the properties of time. They are general while the Lorentz transformations hold only for a singular case.

It is shown that the Lorentz transformations are pairwise compatible if and only if an arbitrary point moves with the speed of light. This opens the problem of compatibility of the transformations, which is resolved in the paper.

Consistency of the units used to measure values of variables, which exist in the coordinate transformations, with the transformations themselves characterizes them.

The new coordinate transformations lead to new velocity transformations. They are also general and inherently different from Einstein's law of composition of velocities, which is valid only under the constraints under which the Lorentz transformations hold. Moreover, the acceleration transformations result, as well. They are also crucially different from those of the Einsteinian relativity theory.

The new temporal and spatial coordinate transformations, and the velocity and the acceleration transformations open novel directions in the non-Einsteinian theory of relativity of time, which is compatible and consistent relativity theory (for short, the CC relativity theory).