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:	Creators Email ORCID 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
Subjects:	Specific Sciences > Physics > Fields and Particles Specific Sciences > Physics > Quantum Field Theory
Date:	2006
URI:	https://philsci-archive.pitt.edu/id/eprint/2808

Available Versions of this Item

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

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