The metaphysical underdetermination of time-reversal invariance

Synthese 201 (1):1-21 (2023)
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Abstract

In this paper I argue that the concept of time-reversal invariance in physics suffers from metaphysical underdetermination, that is, that the concept may be understood differently depending on one’s metaphysics about time, laws, and a theory’s basic properties. This metaphysical under-determinacy also affects subsidiary debates in philosophy of physics that rely on the concept of time-reversal invariance, paradigmatically the problem of the arrow of time. I bring up three cases that, I believe, fairly illustrate my point. I conclude, on the one hand, that any formal representation of time reversal should be explicit about the metaphysical assumptions of the concept that it intends to represent; on the other, that philosophical arguments that rely on time reversal to argue against a direction of time require additional premises.

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References found in this work

The Direction of Time.Hans Reichenbach - 1956 - Philosophy 34 (128):65-66.
XIV-Remarks on the Passing of Time.Tim Maudlin - 2002 - Proceedings of the Aristotelian Society 102 (3):237-252.
Symmetry and Equivalence.Gordon Belot - 2013 - In Robert Batterman (ed.), The Oxford Handbook of Philosophy of Physics. Oxford University Press. pp. 318-339.
What time reversal invariance is and why it matters.John Earman - 2002 - International Studies in the Philosophy of Science 16 (3):245 – 264.
Time Reversal in Classical Electromagnetism.Frank Arntzenius & Hilary Greaves - 2009 - British Journal for the Philosophy of Science 60 (3):557-584.

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