English

Definability in Physics

General Physics 2009-04-30 v9 High Energy Physics - Theory

Abstract

The concept of definability of quantum fields in a set-theoretical foundation is introduced. We propose an axiomatic set theory and then derive a nonlinear sigma model and the Schroedinger equation in a Lagrangian form; this follows naturally from a null postulate which expresses symmetry of action. Definability in this theory is necessary and sufficient for quantum mechanics. Space-time proves to be relational and the fields are free of singularities

Keywords

Cite

@article{arxiv.physics/0206011,
  title  = {Definability in Physics},
  author = {D. J. Bendaniel},
  journal= {arXiv preprint arXiv:physics/0206011},
  year   = {2009}
}

Comments

9 pages. The axiom system has been simplified