arXiv subjects

D. J. BenDaniel

Publications and source records attributed to D. J. BenDaniel.

2 recordsLinked to original sources

arXiv2007

Linking the Foundations of Physics and Mathematics

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.

math-ph↗

arXiv1998

The Definability of Fields

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.

physics.gen-ph↗