ABSTRACT

What follows will introduce both new temporal and spatial coordinate transformations that are essentially different from Lorentz transformations and a new approach to coordinate transformations, which is inherently different from Einsteinian approach. They will express completely the time independence property. They will be released from all the constraints that are a priory accepted in Einsteinian relativity theory. The time-invariance of the transformations incorporates the constancy of

the spatial transfer speed that corresponds to mutually inertial frames. The temporal transfer speed in the new temporal coordinate transformations

will be an arbitrarily accepted and then fixed constant speed ϑ(.) if its value is measured with the units of T(.) and of Rn(.). In a particular case ϑ

(.) = v (.) R is

allowed. In a more special case ϑ(.) = v(.)ji is permitted. This explains why the new

temporal coordinate transformations can incorporate those by Lorentz and Einstein as a special case (in fact, as a singular case). To show this we should, by referring to Einsteinian relativity theory, set v(.)P ≡ c

(.) (.), but by retaining

simultaneously r(.)P (t(.)), instead of r (.) L (t(.)), in the temporal coordinate trans-

formations. Their difference is not formal, but crucial. By accepting the transfer speed from the spatial coordinates to be also the temporal transfer speed, Einsteinian relativity theory a priory does not permit to the temporal coordinate transformations to express the time independence of the space. By accepting the speed ϑ(.) for the temporal transfer speed independently of

the spatial transfer speed v(.)ji we will establish the coordinate transformations that will reflect completely the time independence of the space (Axiom 47).