Hostname: page-component-cd9895bd7-mkpzs Total loading time: 0 Render date: 2024-12-26T04:24:34.406Z Has data issue: false hasContentIssue false
  • English
  • Français

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

Published online by Cambridge University Press:  01 January 2022

James Owen Weatherall
Get access Rights & Permissions [Opens in a new window]

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
Information
Philosophy of Science , Volume 83 , Issue 1 , January 2016 , pp. 82 - 92
Copyright
Copyright © 2016 by the Philosophy of Science Association

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

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): 22–48.CrossRefGoogle Scholar
Stein, Howard. 1967. “Newtonian Space-Time.” Texas Quarterly 10:174–200.Google Scholar
Trautman, Andrzej. 1965. “Foundations and Current Problems of General Relativity.” In Lectures on General Relativity, ed. Deser, Stanley and Ford, Kenneth W., 1–248. 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