{
  "id": "math-ph/9907004",
  "version": "v7",
  "published": "1999-07-05T15:51:54.000Z",
  "updated": "2007-01-02T19:21:57.000Z",
  "title": "Linking the Foundations of Physics and Mathematics",
  "authors": [
    "D. J. BenDaniel"
  ],
  "comment": "This paper is based on a talk given in the Theory Seminar of the Physics Department (LNS)with suitable revisions",
  "categories": [
    "math-ph",
    "math.LO",
    "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.",
  "revisions": [
    {
      "version": "v7",
      "updated": "2007-01-02T19:21:57.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "mathematics",
      "nonlinear sigma model come",
      "axiomatic set theory",
      "physical null postulate",
      "additional examples"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 503180
    }
  }
}