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Uniqueness of Simultaneity

Name: Uniqueness of Simultaneity
Creator: Domenico Giulini
Keywords: Special relativity, FOS: Physical sciences, Equations of motion in general relativity and gravitational theory, General Relativity and Quantum Cosmology (gr-qc), Mathematical Physics (math-ph), 06 humanities and the arts, absolute simultaneity, 0603 philosophy, ethics and religion, 01 natural sciences, General Relativity and Quantum Cosmology

Uniqueness of simultaneity

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 01 Dec 2001Embargo end date: 01 Jan 2000Publisher:University of Chicago PressJournal:The British Journal for the Philosophy of Science, volume 52, pages 651-670 (issn: 0007-0882, eissn: 1464-3537,

Authors: Domenico Giulini;

doi: 10.1093/bjps/52.4.651 , 10.48550/arxiv.gr-qc/0011050

arXiv: http://arxiv.org/abs/gr-qc/0011050

Uniqueness of Simultaneity

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Abstract

We consider the problem of uniqueness of certain simultaneity structures in flat spacetime. Absolute simultaneity is specified to be a non-trivial equivalence relation which is invariant under the automorphism group Aut of spacetime. Aut is taken to be the identity-component of either the inhomogeneous Galilei group or the inhomogeneous Lorentz group. Uniqueness of standard simultaneity in the first, and absence of any absolute simultaneity in the second case are demonstrated and related to certain group theoretic properties. Relative simultaneity with respect to an additional structure X on spacetime is specified to be a non-trivial equivalence relation which is invariant under the subgroup in Aut that stabilises X. Uniqueness of standard Einstein simultaneity is proven in the Lorentzian case when X is an inertial frame. We end by discussing the relation to previous work of others.

LeTeX-2e, 18 pages, no figures

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University of Freiburg
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Keywords

Special relativity, FOS: Physical sciences, Equations of motion in general relativity and gravitational theory, General Relativity and Quantum Cosmology (gr-qc), Mathematical Physics (math-ph), absolute simultaneity, General Relativity and Quantum Cosmology, Space Physics (physics.space-ph), Physics - Space Physics, Galilean space-time, inertial frame, relative simultaneity, Einstein simultaneity, Mathematical Physics

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