Coordinate Transformations from Galileo to Lorentz

Author(s)

Abstract
It is shown how Galilean transformations naturally going over into Lorentz transformations, depending on changes in the kinematic conditions of the reference systems under study. Such an evolution of equations is an independent derivation of Lorentz transformations based on the laws of classical mechanics. It is established that any Lorentz transformations are based on the universal Rule of simultaneity, the observance of which makes transformations feasible regardless of the type, speed, direction of mutual movement of these systems and their number. This rule made it possible to find previously unknown transformation equations, in particular, such as combined Galileo–Lorentz transformations, as well as mirror transformations, when the subject of research is not coordinates, but clock readings in the studied reporting systems, or the speeds of these systems.

Keywords
Galileo transformations, Lorentz transformations, special theory of relativity

Cite this paper
V.Kuzhelev, Coordinate Transformations from Galileo to Lorentz , SCIREA Journal of Physics. Volume 10, Issue 3, June 2025 | PP. 96-108. 10.54647/physics140687

References