Special Relativity and possible Lorentz violations consistently coexist in Aristotle space-time

Physics – General Physics

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13 pages, 6 figures, submitted to Foundation of Physics on 9 may 2008. In this article, we explicitly derive the Lorentz trans

Scientific paper

Some studies interpret quantum measurement as being explicitly non local. Others assume the preferred frame hypothesis. Unfortunately, these two classes of studies conflict with Minkowski space-time geometry. On the contrary, in Aristotle space-time, Lorentz invariance, interpreted as a physical property applying to all phenomena actually satisfying this symmetry (as opposed to a geometrical constraint applying to an assumed pre-existing Minkowski space-time) consistently coexists with possible Lorentz violations. Moreover, as will be pointed out, the geometrical framework provided by Aristotle space-time is in fact necessary to derive the Lorentz transformations from physical hypotheses.

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