Hostname: page-component-848d4c4894-2xdlg Total loading time: 0 Render date: 2024-06-20T05:45:19.512Z Has data issue: false hasContentIssue false

Galileo’s Gauge: Understanding the Empirical Significance of Gauge Symmetry

Published online by Cambridge University Press:  01 January 2022

Abstract

This article investigates and resolves the question whether gauge symmetry can display analogs of the famous Galileo’s ship scenario. In doing so, it builds on and clarifies the work of Greaves and Wallace (“Empirical Consequences of Symmetries”) on this subject.

Type
Research Article
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

I would like to thank Jeremy Butterfield, Harvey Brown, Simon Friederich, and David Wallace for helpful exchanges about this material, as well as seminar audiences at the University of Cambridge, NYU, LSE, the University of Minnesota, and the University of Notre Dame.

References

Abbott, L., and Deser, S. 1982. “Charge Definition in Non-Abelian Gauge Theories.” Physics Letters B 116:259–63.Google Scholar
Balachandran, A. 1994. “Gauge Symmetries, Topology and Quantization.” AIP Conference Proceedings 317:181.CrossRefGoogle Scholar
Barnich, G., and Brandt, F. 2002. “Covariant Theory of Asymptotic Symmetries, Conservation Laws and Central Charges.” Nuclear Physics B 633:382.CrossRefGoogle Scholar
Belot, G. 2011. “Symmetry and Equivalence.” PhilSci Archive. http://philsci-archive.pitt.edu/9275/4/FinalFinalRant.pdf.Google Scholar
Brading, K., and Brown, H. R. 2000. “Noether’s Theorems and Gauge Symmetries.” ArXiv, High Energy Physics—Theory e-prints. http://arxiv.org/abs/hep-th/0009058.Google Scholar
Brading, K., and Brown, H. R. 2004. “Are Gauge Symmetry Transformations Observable?British Journal for the Philosophy of Science 55 (4): 645–65.CrossRefGoogle Scholar
Brown, H. R., and Sypel, R. 1995. “On the Meaning of the Relativity Principle and Other Symmetries.” International Studies in the Philosophy of Science 9:235–53.CrossRefGoogle Scholar
Budden, T. 1997. “Galileo’s Ship and Spacetime Symmetry.” British Journal for the Philosophy of Science 48:483516.CrossRefGoogle Scholar
de Haro, S., Teh, N., and Butterfield, J. 2015. “Comparing Dualities and Gauge Symmetries.” Unpublished manuscript, University of Notre Dame.Google Scholar
Friederich, S. 2015. “Symmetry, Empirical Equivalence, and Identity.” British Journal for the Philosophy of Science 66 (3): 537–59.CrossRefGoogle Scholar
Galileo. 1953. Dialogues Concerning the Two Chief World Systems. Berkeley: University of California Press.Google Scholar
Greaves, H., and Wallace, D. 2014. “Empirical Consequences of Symmetries.” British Journal for the Philosophy of Science 65:5989.CrossRefGoogle Scholar
Healey, R. 2009. “Perfect Symmetries.” British Journal for the Philosophy of Science 60:697720.CrossRefGoogle Scholar
Henneaux, Marc, and Teitelboim, Claudio. 1992. Quantization of Gauge Systems. Princeton, NJ: Princeton University Press.CrossRefGoogle Scholar
Kosso, P. 2000. “The Empirical Status of Symmetries in Physics.” British Journal for the Philosophy of Science 51:8198.CrossRefGoogle Scholar
Nussinov, Z., Batista, C. D., and Fradkin, E. 2006. “Intermediate Symmetries in Electronic Systems: Dimensional Reduction, Order out of Disorder, Dualities, and Fractionalization.” International Journal of Modern Physics B 20:5239–49.CrossRefGoogle Scholar
Olver, P. 1993. Applications of Lie Groups to Differential Equations. New York: Springer.CrossRefGoogle Scholar
Pitts, J. B. 2014. “A First Class Constraint Generates Not a Gauge Transformation, but a Bad Physical Change: The Case of Electromagnetism.” Annals of Physics 351:382406.CrossRefGoogle Scholar
Witten, E. 1979. “Dyons of Charge eθ/2π.” Physics Letters B 86:283–87.Google Scholar
Supplementary material: PDF

Teh supplementary material

Teh supplementary material

Download Teh supplementary material(PDF)
PDF 48 KB