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Definability in Physics

BenDaniel, David Jacob (2006) Definability in Physics. In: UNSPECIFIED. (In Press)

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Abstract

The concept of definability of physical fields in a set-theoretical foundation is introduced. We propose an axiomatic set theory and show that the Schrödinger equation and, more generally, a nonlinear sigma model can be derived from a null postulate and that quantization of fields is equivalent to definability. We find that space-time is relational in this theory. Some examples of the relevance to physics are suggested.


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Item Type: Conference or Workshop Item (UNSPECIFIED)
Creators:
CreatorsEmailORCID
BenDaniel, David Jacob
Keywords: Definability, Set-Theoretical Foundations, Foundations of Physics
Subjects: Specific Sciences > Physics > Fields and Particles
Specific Sciences > Physics > Quantum Field Theory
Depositing User: David Jacob BenDaniel
Date Deposited: 25 Jun 2006
Last Modified: 07 Oct 2010 15:14
Item ID: 2808
Publisher: Springer-Verlag
Public Domain: Yes
Conference Date: 26-30 June 2006
Conference Location: 26th International Colloquium on Group Theoretical Methods in Physics, The Graduate Center of the City University of New York
URI: http://philsci-archive.pitt.edu/id/eprint/2808

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