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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)
      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 11:14
      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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