Simultaneity as an Invariant Equivalence Relation

Foundations of Physics 42 (11):1365-1383 (2012)

Authors
Marco Mamone
Perugia University
Abstract
This paper deals with the concept of simultaneity in classical and relativistic physics as construed in terms of group-invariant equivalence relations. A full examination of Newton, Galilei and Poincaré invariant equivalence relations in ℝ4 is presented, which provides alternative proofs, additions and occasionally corrections of results in the literature, including Malament’s theorem and some of its variants. It is argued that the interpretation of simultaneity as an invariant equivalence relation, although interesting for its own sake, does not cut in the debate concerning the conventionality of simultaneity in special relativity
Keywords Special relativity  Simultaneity  Invariant equivalence relations  Malament’s theorem
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DOI 10.1007/s10701-012-9674-4
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References found in this work BETA

Autobiographical Notes.Max Black, Albert Einstein & Paul Arthur Schilpp - 1950 - Journal of Symbolic Logic 15 (2):157.
Axiomatization of the Theory of Relativity.Hans Reichenbach - 1969 - University of California Press.
Conventionality of Simultaneity.Allen Janis - 2008 - Stanford Encyclopedia of Philosophy.

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Citations of this work BETA

On the Fundamental Theorem of the Theory of Relativity.Marco Mamone-Capria - 2016 - Foundations of Physics 46 (12):1680-1712.

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