{
  "id": "0908.4348",
  "version": "v13",
  "published": "2009-08-29T17:07:26.000Z",
  "updated": "2014-08-30T20:04:34.000Z",
  "title": "An Adynamical, Graphical Approach to Quantum Gravity and Unification",
  "authors": [
    "W. M. Stuckey",
    "Michael Silberstein",
    "Timothy McDevitt"
  ],
  "comment": "47 pages text, 14 figures, revised per recent results, e.g., dark energy results",
  "categories": [
    "quant-ph"
  ],
  "abstract": "We use graphical field gradients in an adynamical, background independent fashion to propose a new approach to quantum gravity and unification. Our proposed reconciliation of general relativity and quantum field theory is based on a modification of their graphical instantiations, i.e., Regge calculus and lattice gauge theory, respectively. Accordingly, the fundamental structure is a graphical amalgam of space, time, and sources (in parlance of quantum field theory) called a \"spacetimesource element.\" These are fundamental elements of space, time, and sources, not source elements in space and time. The transition amplitude for a spacetimesource element is computed using a path integral with discrete graphical action. The action for a spacetimesource element is constructed from a difference matrix K and source vector J on the graph, as in lattice gauge theory. K is constructed from graphical field gradients so that it contains a non-trivial null space and J is then restricted to the row space of K, so that it is divergence-free and represents a conserved exchange of energy-momentum. This construct of K and J represents an adynamical global constraint between sources, the spacetime metric, and the energy-momentum content of the element, rather than a dynamical law for time-evolved entities. We use this approach via modified Regge calculus to correct proper distance in the Einstein-deSitter cosmology model yielding a fit of the Union2 Compilation supernova data that matches LambdaCDM without having to invoke accelerating expansion or dark energy. A similar modification to lattice gauge theory results in an adynamical account of quantum interference.",
  "revisions": [
    {
      "version": "v12",
      "updated": "2014-07-26T19:52:57.000Z",
      "journal": null,
      "doi": null
    },
    {
      "version": "v13",
      "updated": "2014-08-30T20:04:34.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "03.65.Ud",
      "03.65.Ta",
      "03.65.Ca"
    ],
    "keywords": [
      "quantum gravity",
      "graphical approach",
      "spacetimesource element",
      "quantum field theory",
      "adynamical"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 47,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 829943,
      "adsabs": "2009arXiv0908.4348S"
    }
  }
}