Linking the Foundations of Physics and Mathematics

Details Linking the Foundations of Physics and Mathematics Linking the Foundations of Physics and Mathematics

1999-07-05

arxiv.org/abs/math-ph/9907004v7

Physics

Mathematical Physics

This paper is based on a talk given in the Theory Seminar of the Physics Department (LNS)with suitable revisions

Scientific paper

The concept of definability of physical fields within a set-theoretical foundation is introduced. We propose an axiomatic set theory and show the Schroedinger equation and, more generally, a nonlinear sigma model come naturally out of the mathematics of this theory when a physical null postulate is added. Space-time is relational in this theory and quantization of the field proves to be equivalent to definability. Some additional examples of applicability to physics are given.

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