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Definability in Physics

BenDaniel, David J. (2004) Definability in Physics. In: UNSPECIFIED. (Unpublished)

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    Abstract

    The concept of definability of physical fields in a set-theoretical foundation is introduced. A set theory is selected in which we get mathematics enough to produce a nonlinear sigma model. Quantization of the model requires only a null postulate and is then shown to be necessary and sufficient for definability in the theory. We obtain scale invariance and compactification of the spatial dimensions effectively. Three interesting examples of the relevance to physics are suggested.


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    Item Type: Conference or Workshop Item (UNSPECIFIED)
    Keywords: Definability, Nonlinear Sigma Model, Set-theoretical Foundations of Physics
    Subjects: Specific Sciences > Physics > Fields and Particles
    Specific Sciences > Physics > Quantum Field Theory
    Depositing User: David Jacob BenDaniel
    Date Deposited: 28 Nov 2004
    Last Modified: 07 Oct 2010 11:13
    Item ID: 2094
    Public Domain: No
    Conference Date: 13th UK Meeting on the Foundations of Physics, 20-24 September 2004
    Conference Location: York UK
    URI: http://philsci-archive.pitt.edu/id/eprint/2094

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