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Maxwell-Huygens, Newton-Cartan, and Saunders-Knox Space-Times

Published online by Cambridge University Press:  01 January 2022

Abstract

I address a question recently raised by Simon Saunders concerning the relationship between the space-time structure of Newton-Cartan theory and that of what I will call “Maxwell-Huygens space-time.” This discussion will also clarify a connection between Saunders’s work and a recent paper by Eleanor Knox.

Type
Research Article
Copyright
Copyright © 2016 by the Philosophy of Science Association

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Footnotes

This material is based on work supported by the National Science Foundation under grant 1331126. I am grateful to David Malament and Chris Smeenk for helpful conversations related to this article and to David Malament and two anonymous referees for detailed comments on a previous draft.

References

DiSalle, Robert. 2008. Understanding Space-Time. New York: Cambridge University Press.Google Scholar
Earman, John. 1989. World Enough and Space-Time. Cambridge, MA: MIT Press.Google Scholar
Knox, Eleanor. 2014. “Newtonian Spacetime Structure in Light of the Equivalence Principle.” British Journal for the Philosophy of Science 65 (4): 863–88.CrossRefGoogle Scholar
Malament, David B. 2002. “A No-Go Theorem about Rotation in Relativity Theory.” In Reading Natural Philosophy: Essays in the History and Philosophy of Science and Mathematics, ed. Malament, David B., 267–93. Chicago: Open Court.Google Scholar
Malament, David B. 2012. Topics in the Foundations of General Relativity and Newtonian Gravitation Theory. Chicago: University of Chicago Press.CrossRefGoogle Scholar
Saunders, Simon. 2013. “Rethinking Newton’s Principia.Philosophy of Science 80 (1): 2248.CrossRefGoogle Scholar
Stein, Howard. 1967. “Newtonian Space-Time.” Texas Quarterly 10:174200.Google Scholar
Trautman, Andrzej. 1965. “Foundations and Current Problems of General Relativity.” In Lectures on General Relativity, ed. Deser, Stanley and Ford, Kenneth W., 1248. Englewood Cliffs, NJ: Prentice-Hall.Google Scholar
Weatherall, James Owen. 2015. “Are Newtonian Gravitation and Geometrized Newtonian Gravitation Theoretically Equivalent?” Erkenntnis, forthcoming. arXiv:1411.5757 [physics.hist-ph].CrossRefGoogle Scholar
Weatherall, James Owen, and Manchak, John Byron. 2014. “The Geometry of Conventionality.” Philosophy of Science 81 (2): 233–47.CrossRefGoogle Scholar