The local validity of special relativity, part 2: matter dynamics

Fletcher, S. C. & Weatherall, J. O. (2023). The local validity of special relativity, part 2: matter dynamics. Philosophy of Physics, 1(1). https://doi.org/10.31389/pop.7
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In this two-part essay, we distinguish several senses in which general relativity has been regarded as “locally special relativistic.” In Part 1, we focused on senses in which a relativistic spacetime may be said to be “locally (approximately) Minkowskian.” Here, in Part 2, we consider what it might mean to say that a matter theory is “locally special relativistic.” We isolate and evaluate three criteria in the literature and show that they are incompatible: matter theories satisfying one will generally violate others. We then consider what would happen if any of those criteria failed for a given theory.

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