Open AccessDerivations of Time Dilation using Two Different Lorentz-Type Transformations
Author(s) -
Robert J. Buenker,
Fachbereich C-Mathematik
Publication year - 2021
Language(s) - English
DOI - 10.47363/jpsos/2021(3)132
Subject(s) - time dilation , lorentz transformation , length contraction , theory of relativity , einstein , dilation (metric space) , coordinate time , contraction (grammar) , transformation (genetics) , one way speed of light , space time , classical mechanics , spacetime , mathematics , physics , mathematical analysis , mathematical physics , geometry , principle of relativity , four force , quantum mechanics , engineering , medicine , biochemistry , chemistry , chemical engineering , gene
The Lorentz transformation (LT) of Einstein's Special Theory of Relativity (STR) leads to the prediction of time dilation and length contraction in moving rest frames. In addition, the relativistic velocity transformation (RVT) is derived from the LT by simply taking the ratios of its space and time coordinates, and this in turn guarantees satisfaction of Einstein's light-speed constancy postulate. The Global Positioning Transformation (GPS-LT) is similar to the LT but differs from it in a significant way, namely it does not lead to the space-time mixing characteristic of the LT. The way in which time dilation is derived from both transformations is compared and it is shown that only the GPS-LT is self-consistent with respect to this key prediction of relativity theory