Linking the Foundations of Physics and Mathematics
Mathematical Physics
2007-05-23 v7 Logic
math.MP
Abstract
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.
Cite
@article{arxiv.math-ph/9907004,
title = {Linking the Foundations of Physics and Mathematics},
author = {D. J. BenDaniel},
journal= {arXiv preprint arXiv:math-ph/9907004},
year = {2007}
}
Comments
This paper is based on a talk given in the Theory Seminar of the Physics Department (LNS)with suitable revisions