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Coordinates, observables and symmetry in relativity

Westman, Hans and Sonego, Sebastiano (2007) Coordinates, observables and symmetry in relativity. [Preprint]

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    Abstract

    We investigate the interplay and connections between symmetry properties of equations, the interpretation of coordinates, the construction of observables, and the existence of physical relativity principles in spacetime theories. Using the refined notion of an event as a "point-coincidence" between scalar fields that completely characterise a spacetime model, we also propose a natural generalisation of the relational local observables that does not require the existence of four everywhere invertible scalar fields. The collection of all point-coincidences forms in generic situations a four-dimensional manifold, that is naturally identified with the physical spacetime.


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    Item Type: Preprint
    Additional Information: 36 pages
    Keywords: Spacetime; events; general covariance; observables; hole argument; symmetry; relativity principles
    Subjects: Specific Sciences > Physics > Symmetries/Invariances
    Specific Sciences > Physics > Relativity Theory
    Depositing User: Sebastiano Sonego
    Date Deposited: 07 Dec 2007
    Last Modified: 07 Oct 2010 11:15
    Item ID: 3703
    URI: http://philsci-archive.pitt.edu/id/eprint/3703

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