In this article, we derive new transformation equations of relativity in 3D using the following guidelines:1. We use only vector notations to obtain the new transformation equations in a general form.
2.In the process of deriving new transformation equations in vector form, we also keep the term v r → → × 3. Newly obtained transformation equations need to satisfy the linear transformation fundamental laws. 4. Addition of velocities we calculate in two different ways: by linear superposition and by differentiation, and they need to coincide each other. If not, then we force them to match for obtaining the final relation between coefficients. After using the above mentioned general guidelines, we obtain direct and inverse transformation equations named the Armenian transformation equations, which are the replacement for the Lorentz transformation equations.
By using the principle of relativity (first postulate), together with new defined nature of the universal speed (our second postulate) and homogeneity of time-space (our third postulate), we derive the most general transformation equations of relativity in one dimensional space. According to our new second postulate, the universal (not limited) speed c in Armenian Theory of Special Relativity is not the actual speed of light but it is the speed of time which is the same in all inertial systems. Our third postulate: the homogeneity of time-space is necessary to furnish linear transformation equations. We also state that there is no need to postulate the isotropy of time-space. Our article is the accumulation of all efforts from physicists to fix the Lorentz transformation equations and build correct and more general transformation equations of relativity which obey the rules of logic and fundamental group laws without internal philosophical and physical inconsistencies.
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