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 (Unpublished)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)
Creators:	Creators Email ORCID BenDaniel, David J.
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 15:13
Item ID:	2094
Public Domain:	No
Conference Date:	13th UK Meeting on the Foundations of Physics, 20-24 September 2004
Conference Location:	York UK
Subjects:	Specific Sciences > Physics > Fields and Particles Specific Sciences > Physics > Quantum Field Theory
Date:	2004
URI:	https://philsci-archive.pitt.edu/id/eprint/2094

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• Definability and a Nonlinear Sigma Model. (deposited 29 Aug 2003)

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