Lorentz Transformations for Two Frames of Reference

Abstract
It is shown that the Lorentz transformations for two reference frames are Galilean transformations, additionally taking into account the initial displacement of the reference frames and the initial difference in the readings of clocks located in these frames. It is established that the disynchronization in the clock readings does not affect the recalculation of coordinates at the transition from one system to another. It is shown that the transformations for two reference frames obey the Rule of Simultaneity, in which the parameters of the speed of light are absent because they are unnecessary. Transformations for two systems are applicable both for inertial reference systems and for non-inertial ones irrespective of the type, velocity and direction of their mutual motion.

Keywords
Lorentz transformations, Galileo transformations, special theory of relativity.

Cite this paper
V. Kuzhelev, Lorentz Transformations for Two Frames of Reference , SCIREA Journal of Physics. Volume 10, Issue 2, April 2025 | PP. 63-70. 10.54647/physics140684

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