One more derivation of the Lorentz transformation
作者:
Jean‐Marc Lévy‐Leblond,
期刊:
American Journal of Physics
(AIP Available online 1976)
卷期:
Volume 44,
issue 3
页码: 271-277
ISSN:0002-9505
年代: 1976
DOI:10.1119/1.10490
出版商: American Association of Physics Teachers
数据来源: AIP
摘要:
After a criticism of the emphasis put on the invariance of the speed of light in standard derivations of the Lorentz transformation, another approach to special relativity is proposed. It consists of an elementary version of general group‐theoretical arguments on the structure of space–time, and makes use only of simple mathematical techniques. Theprincipleof relativity is first stated in general terms, leading to the idea of equivalent frames of reference connected through ’’inertial’’ transformations obeying a group law. Thetheoryof relativity then is constructed by constraining the transformations through four successive hypotheses: homogeneity of space–time, isotropy of space–time, group structure, causality condition. Only the Lorentz transformations and their degenerate Galilean limit obey these constraints. The role and significance of each one of the hypotheses is stressed by exhibiting and discussing counterexamples, that is, transformations obeying all but one of these hypotheses.
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