Time and Uniform Relativity Theory Fundamentals

Lyubomir T. Gruyitch

University of Technology Belfort – Montbeliard,

Site Belfort, 90010 Belfort, France.

Sub-processes of a complex process can have different speeds of evolution. That was a reason to study systems with multiple time scales. Newton recognized importance of time scales and units and used them to explain the relative sense of time. It has been recently proved and in the paper reproved that Newton's explanation of properties of time is correct. They imply new results on time and spatial coordinate transformations. The time coordinate transformations introduced in the paper are uniform over the space rather than non-uniform as defined so far in the relativity theory. Those results further lead to new formulas established in the paper on speed, acceleration, mass, force and energy. They constitute fundamentals for a new relativity theory - the uniform relativity theory.

The proofs of the time and spatial coordinate transformations contain three parts: proof of the necessity, proof of sufficiency and proof of compatibility of the results. The author has not found in the literature on the relativity theory all three proofs of the results. Necessity, sufficiency and compatibility of the transformations are proved in the general case. However, only necessity and sufficiency are proved in the special case, but not their compatibility if an arbitrary point (or an arbitrary body) does not move with the speed of light. Therefore, compatibility of the original Lorentz transformation is checked, which has been the fundament of the Lorentz – Poincaré – Einstein relativity theory. It is shown that they are compatible exclusively if any point (or body) moves with the speed of light, that is that they are not compatible if the point (or the body) moves with a speed smaller than that of the light.

The results once more prove validity of Newton’s explanation of both absolute sense (that has been referred to in the literature) and relative sense of time (that has been mainly forgotten and not mentioned in the modern literature) and its extended Newtonian characterization that reflects physical reality and experience, as well, and which is therefore accepted as axiomatic.