On the time reversal invariance of classical electromagnetic theory

Abstract
David Albert claims that classical electromagnetic theory is not time reversal invariant. He acknowledges that all physics books say that it is, but claims they are ``simply wrong" because they rely on an incorrect account of how the time reversal operator acts on magnetic fields. On that account, electric fields are left intact by the operator, but magnetic fields are inverted. Albert sees no reason for the asymmetric treatment, and insists that neither field should be inverted. I argue, to the contrary, that the inversion of magnetic fields makes good sense and is, in fact, forced by elementary geometric considerations. I also suggest a way of thinking about the time reversal invariance of classical electromagnetic theory -- one that makes use of the invariant (four-dimensional) formulation of the theory -- that makes no reference to magnetic fields at all. It is my hope that it will be of interest in its own right, Albert aside. It has the advantage that it allows for arbitrary curvature in the background spacetime structure, and is therefore suitable for the framework of general relativity. (The only assumption one needs is temporal orientability.).
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Citations of this work BETA
Frank Arntzenius & Hilary Greaves (2009). Time Reversal in Classical Electromagnetism. British Journal for the Philosophy of Science 60 (3):557-584.
Douglas Kutach (2010). A Connection Between Minkowski and Galilean Space-Times in Quantum Mechanics. International Studies in the Philosophy of Science 24 (1):15 – 29.
Jill North (2008). Two Views on Time Reversal. Philosophy of Science 75 (2):201-223.
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