Covariance and Gauge Invariance in Continuum Physics by Lalaonirina R. Rakotomanana

Author:Lalaonirina R. Rakotomanana
Language: eng
Format: epub, pdf
Publisher: Springer International Publishing, Cham

4.3.1 Lie Derivative and Gauge Invariance

Starting from the causality principle, Lorentz transformations are not the only symmetries of the Minkowski spacetime. Translation in space and translation in time constitute also symmetries. In the sixties, Zeeman (1964) has shown that the causality group is generated by the orthochronous Poincaré group together with dilations. Later, Williams (1973) has shown that the complete Poincaré group is the group that preserves the time-like vectors of the Minkowski spacetime, and even further the Poincaré group follows from the principle of the invariance of the light velocity.

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