{
  "id": "1403.7862",
  "version": "v2",
  "published": "2014-03-31T03:51:55.000Z",
  "updated": "2015-01-18T14:28:04.000Z",
  "title": "Gauge Freedom and Relativity: A Unified Treatment of Electromagnetism, Gravity and the Dirac Field",
  "authors": [
    "Clifford E. Chafin"
  ],
  "categories": [
    "quant-ph"
  ],
  "abstract": "The geometric properties of General Relativity are reconsidered as a particular nonlinear interaction of fields on a flat background where the perceived geometry and coordinates are \"physical\" entities that are interpolated by a patchwork of observable bodies with a nonintuitive relationship to the underlying fields. This more general notion of gauge in physics opens an important door to put all fields on a similar standing but requires a careful reconsideration of tensors in physics and the conventional wisdom surrounding them. The meaning of the flat background and the induced conserved quantities are discussed and contrasted with the \"observable\" positive definite energy and probability density in terms of the induced physical coordinates. In this context, the Dirac matrices are promoted to dynamic proto-gravity fields and the keeper of \"physical metric\" information. Independent sister fields to the wavefunctions are utilized in a bilinear rather than a quadratic lagrangian in these fields. This construction greatly enlarges the gauge group so that now proving causal evolution, relative to the physical metric, for the gauge invariant functions of the fields requires both the stress-energy conservation and probability current conservation laws. Through a Higgs-like coupling term the proto-gravity fields generate a well defined physical metric structure and gives the usual distinguishing of gravity from electromagnetism at low energies relative to the Higgs-like coupling. The flat background induces a full set of conservation laws but results in the need to distinguish these quantities from those observed by recording devices and observers constructed from the fields.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-03-31T03:51:55.000Z",
      "title": "Spinors and Gravity: A Reinterpretation and Extension of the Dirac Equation",
      "abstract": "A new interpretation of the Dirac equation is introduced where the Dirac matrices become dynamic fields and the keeper of geometric information. This is facilitated through the use of a bilinear, rather than a quadratic lagrangian and an auxiliary field that is a kind of dual that mirrors the evolution of the electron wavefunction. These new gravitational fields appear through a \"spin 1\" type of lagrangian reminiscent of electromagnetism and generate a a kind of \"square root\" of general relativity. This lagrangian gives a greatly enlarged gauge group so it become essential to define carefully the gauge invariant part, or \"reality,\" of the fields. In packet form, this reality of the electron and electromagnetic fields are shown to follow geodesic motion for a metric defined by a simple quadratic function of the these gravitational Dirac matrix fields. This geometric interpretation is made possible by a Higgs-like coupling term that distinguishes gravity from electromagnetism at low energies creating the nonlinear features familiar from general relativity while allowing evolution on a flat background and giving global conservation laws.",
      "comment": null,
      "journal": null,
      "doi": null,
      "authors": [
        "Clifford E Chafin"
      ]
    },
    {
      "version": "v2",
      "updated": "2015-01-18T14:28:04.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "dirac equation",
      "general relativity",
      "gravitational dirac matrix fields",
      "reinterpretation",
      "nonlinear features familiar"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 1288122,
      "adsabs": "2014arXiv1403.7862C"
    }
  }
}