The Definability of Fields

Abstract

We look for a deep connection between mathematics and physics. Our approach is to propose a set theory T which leads to a concise mathematical description of physical fields and to a finite unit of action. The concept of "definability" of fields is then introduced. Definabilty of fields in T is necessary and sufficient for quantization and sufficient to avoid physical antinomies.

arXiv comment10 Pages. Typo corrected. This paper has been submitted to Chaos, Solitons and Fractals