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Symmetries and invariances in classical physics

Brading, Katherine and Castellani, Elena (2005) Symmetries and invariances in classical physics. [Preprint]

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    Abstract

    Symmetry, intended as invariance with respect to a transformation (more precisely, with respect to a transformation group), has acquired more and more importance in modern physics. This Chapter explores in 8 Sections the meaning, application and interpretation of symmetry in classical physics. This is done both in general, and with attention to specific topics. The general topics include illustration of the distinctions between symmetries of objects and of laws, and between symmetry principles and symmetry arguments (such as Curie's principle), and reviewing the meaning and various types of symmetry that may be found in classical physics, along with different interpretative strategies that may be adopted. Specific topics discussed include the historical path by which group theory entered classical physics, transformation theory in classical mechanics, the relativity principle in Einstein's Special Theory of Relativity, general covariance in his General Theory of Relativity, and Noether's theorems. In bringing these diverse materials together in a single Chapter, we display the pervasive and powerful influence of symmetry in classical physics, and offer a possible framework for the further philosophical investigation of this topic.


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    Item Type: Preprint
    Additional Information: Forthcoming in J. Butterfield and J. Earman (eds.), Handbook of the Philosophy of Physics, North-Holland.
    Keywords: Symmetry, Classical Mechanics, Curie's Principle, Group Theory, Relativity, Noether's Theorems
    Subjects: Specific Sciences > Physics > Classical Physics
    Specific Sciences > Physics > Symmetries/Invariances
    Specific Sciences > Physics > Relativity Theory
    Specific Sciences > Physics
    Depositing User: Elena Castellani
    Date Deposited: 18 Dec 2005
    Last Modified: 07 Oct 2010 11:13
    Item ID: 2569
    URI: http://philsci-archive.pitt.edu/id/eprint/2569

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