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  1. Simultaneity as an Invariant Equivalence Relation.Marco Mamone-Capria - 2012 - Foundations of Physics 42 (11):1365-1383.
    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 (...)
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  • Simultaneity in Minkowski Spacetime: From Uniqueness to Arbitrariness. [REVIEW]Fabien Besnard - 2012 - Foundations of Physics 42 (9):1115-1134.
    Malament (Noûs 11:293–300, 1977) proved a certain uniqueness theorem about standard synchrony, also known as Poincaré-Einstein simultaneity, which has generated many commentaries over the years, some of them contradictory. We think that the situation called for some clarification. After reviewing and discussing some of the literature involved, we prove two results which, hopefully, will help clarifying this debate by filling the gap between the uniquess of Malament’s theorem, which allows the observer to use very few tools, and the complete arbitrariness (...)
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  • Causality and temporal order in special relativity.Hanoch Ben-Yami - 2006 - British Journal for the Philosophy of Science 57 (3):459-479.
    David Malament tried to show that the causal theory of time leads to a unique determination of simultaneity relative to an inertial observer, namely standard simultaneity. I show that the causal relation Malament uses in his proofs, causal connectibility, should be replaced by a different causal relation, the one used by Reichenbach in his formulation of the theory. I also explain why Malament's reliance on the assumption that the observer has an eternal inertial history modifies our conception of simultaneity, and (...)
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  • Time in Classical and Relativistic Physics.Gordon Belot - 2013 - In Adrian Bardon & Heather Dyke (eds.), A Companion to the Philosophy of Time. Chichester, UK: Blackwell. pp. 185-200.
    This is a short, nontechnical introduction to features of time in classical and relativistic physics and their representation in the four-dimensional geometry of spacetime. Topics discussed include: the relativity of simultaneity in special and general relativity; the ‘twin paradox’ and differential aging effects in special and general relativity; and time travel in general relativity.
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  • Dust, Time and Symmetry.Gordon Belot - 2005 - British Journal for the Philosophy of Science 56 (2):255-291.
    Two symmetry arguments are discussed, each purporting to show that there is no more room for a preferred division of spacetime into instants of time in general relativistic cosmology than in Minkowski spacetime. The first argument is due to Gödel, and concerns the symmetries of his famous rotating cosmologies. The second turns upon the symmetries of a certain space of relativistic possibilities. Both arguments are found wanting.
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  • Conventionality of simultaneity.Allen Janis - 2008 - Stanford Encyclopedia of Philosophy.
    In his first paper on the special theory of relativity, Einstein indicated that the question of whether or not two spatially separated events were simultaneous did not necessarily have a definite answer, but instead depended on the adoption of a convention for its resolution. Some later writers have argued that Einstein's choice of a convention is, in fact, the only possible choice within the framework of special relativistic physics, while others have maintained that alternative choices, although perhaps less convenient, are (...)
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  • Eternity and time in science: what role do theories of relativity play in the formation of a coherent model of eternity.F. Lawson - 2013 - Dissertation, University of London
    Historically models of eternity have been grounded in divine attributes rather than the intrinsic structure of space-time. I examine the topology of Minkowski spacetime in comparison to the Euclidean space of Newtonian Mechanics, before highlighting five common approaches to eternity. Both atemporal and temporal models of eternity are examined to establish what they tell us about the nature of eternity outside the divine attributes, before being evaluated for their coherence with the Special Theory of Relativity. I argue that the most (...)
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  • A note on Dolby and Gull on radar time and the twin 'paradox'.Antony Eagle - 2005 - American Journal of Physics 73 (10):976–979.
    Recently a suggestion has been made that standard textbook representations of hypersurfaces of simultaneity for the travelling twin in the twin 'paradox' are incorrect. This suggestion is false: the standard textbooks are in agreement with a proper understanding of the relativity of simultaneity.
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