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A note to the linearity proof of Lorentz transformation
Author(s) -
Günther Helmut
Publication year - 2003
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.200310502
Subject(s) - lorentz transformation , simultaneity , transformation (genetics) , linearity , one way speed of light , axiom , test theories of special relativity , linear map , special relativity , mathematics , principle of relativity , theory of relativity , velocity addition formula , lorentz covariance , theoretical physics , calculus (dental) , algebra over a field , classical mechanics , four force , pure mathematics , physics , four momentum , geometry , quantum mechanics , medicine , biochemistry , chemistry , dentistry , gene
The traditional proof of the linearity of Lorentz transformation makes use of a definition of simultaneity and a physical law for the propagation of light. For unravelling these two elements we use a reverse axiomatic approach to special relativity. In this case we are free, in principle, to introduce an arbitrary simultaneity. Linear coordinate transformations require a linear synchronisation. Lorentz transformation results from a special kind of linear synchronisation.