{
  "id": "1611.07357",
  "version": "v1",
  "published": "2016-11-22T15:26:15.000Z",
  "updated": "2016-11-22T15:26:15.000Z",
  "title": "Entropy, topological theories and emergent quantum mechanics",
  "authors": [
    "D. Cabrera",
    "P. Fernandez de Cordoba",
    "J. M. Isidro",
    "J. Vazquez Molina"
  ],
  "comment": "11 pages",
  "categories": [
    "math-ph",
    "math.MP",
    "quant-ph"
  ],
  "abstract": "The classical thermostatics of equilibrium processes is shown to possess a quantum-mechanical dual theory with a finite-dimensional Hilbert space of quantum states. Specifically, the kernel of a certain Hamiltonian operator becomes the Hilbert space of quasistatic quantum mechanics. The relation of thermostatics to topological field theory is also discussed in the context of the emergent approach to quantum theory, where the concept of entropy plays a key role.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-11-22T15:26:15.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "emergent quantum mechanics",
      "topological theories",
      "finite-dimensional hilbert space",
      "quasistatic quantum mechanics",
      "quantum states"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 11,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}