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Definability in Physics

BenDaniel, David Jacob (2005) Definability in Physics. [Preprint]

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    Abstract

    The concept of definability of physical fields in a set-theoretical foundation is introduced and an axiomatic set theory is proposed which provides precisely the tools necessary for a nonlinear sigma model. In this theory quantization of the model derives from a null postulate and becomes equivalent to definability. We also obtain scale invariance and compactification of the spatial dimensions effectively. The applicability of this foundation to quantum gravity is suggested.

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    Item Type: Preprint
    Keywords: Definability, Nonlinear Sigma Model, Foundations of Physics, relational space-time, quantum gravity
    Subjects: Specific Sciences > Physics > Fields and Particles
    Specific Sciences > Physics > Quantum Field Theory
    Depositing User: David Jacob BenDaniel
    Date Deposited: 08 Aug 2005
    Last Modified: 07 Oct 2010 11:13
    Item ID: 2394
    URI: http://philsci-archive.pitt.edu/id/eprint/2394

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