On Coordinates and Spacetime Structure

Philosophers and physicists often claim that the “privileged coordinates” of a physical theory provide a window into its structure. The purpose of this paper is to examine whether this is the case. We show that there are general relativistic spacetimes that admit the same privileged coordinates but have different structure, and we infer from this that privileged coordinates do not provide a perfect guide to underlying structure. We conclude by isolating the conditions under which privileged coordinates do perfectly reflect structure.