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Definability and a Nonlinear Sigma Model

BenDaniel, David Jacob (2003) Definability and a Nonlinear Sigma Model. [Preprint] (Unpublished)

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    Abstract

    The concept of definability of physical fields is introduced and a set-theoretical foundation is proposed. In this foundation, we obtain a scale invariant nonlinear sigma model and then show that quantization of the model is necessary and sufficient for definability. We also obtain compactification of the spatial dimensions effectively and show its equivalence to quantization.

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    Item Type: Preprint
    Keywords: Definability, Nonlinear Sigma Model, Compactification, Scalar Invariance, Axiomatic, Foundations of Physics
    Subjects: Specific Sciences > Physics > Fields and Particles
    Specific Sciences > Physics > Quantum Mechanics
    Specific Sciences > Physics > Quantum Field Theory
    Depositing User: David Jacob BenDaniel
    Date Deposited: 03 Dec 2003
    Last Modified: 07 Oct 2010 11:12
    Item ID: 1506
    Public Domain: No
    URI: http://philsci-archive.pitt.edu/id/eprint/1506

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