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
Creators:	Creators Email ORCID BenDaniel, David Jacob
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 15:13
Item ID:	2394
Subjects:	Specific Sciences > Physics > Fields and Particles Specific Sciences > Physics > Quantum Field Theory
Date:	August 2005
URI:	https://philsci-archive.pitt.edu/id/eprint/2394

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

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