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Empirical consequences of symmetries

Greaves, Hilary and Wallace, David (2011) Empirical consequences of symmetries. [Preprint]

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It is widely recognised that 'global' symmetries, such as the boost invariance of classical mechanics and special relativity, can give rise to direct empirical counterparts such as the Galileo-ship phenomenon. However, conventional wisdom holds that 'local' symmetries, such as the diffeomorphism invariance of general relativity and the gauge invariance of classical electromagnetism, have no such direct empirical counterparts. We argue against this conventional wisdom. We develop a framework for analysing the relationship between Galileo-ship empirical phenomena and physical theories that model such phenomena that renders the relationship between theoretical and empirical symmetries transparent, and from which it follows that both global and local symmetries can give rise to Galileo-ship phenomena. In particular, we use this framework to exhibit analogs of Galileo's ship for both the diffeomorphism invariance of general relativity and the gauge invariance of electromagnetism.

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Item Type: Preprint
Keywords: Symmetry; Empirical symmetry; Galileo's ship; Global symmetry; Local symmetry
Subjects: Specific Sciences > Physics > Symmetries/Invariances
Depositing User: Hilary Greaves
Date Deposited: 17 Nov 2011 14:29
Last Modified: 17 Nov 2011 14:29
Item ID: 8906

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