{
  "annotation_id": "97632897-55a6-420e-be19-cbc3cea42ffa",
  "date_created": "2026-03-02T18:01:52.230000Z",
  "date_modified": "2026-03-02T18:01:52.230000Z",
  "file_hash": "bfcc6576412f930678edf4fa3ab3b858ba30ebed2aabf4d9ba4a68bc8d1163fc",
  "private": false,
  "record": {
    "abstract": "We consider a five dimensional (5D) space-time with a space-like fifth\ndimension. We implement a quantum formalism by path integrals, and postulate\nthat all the physical information on a 5D massless particle propagation is\nprovided by the statistics over null paths in this 5D space-time. If the 5D\nmetric is independent of the fifth coordinate, then the propagation problem can\nbe reduced to four dimensions by foliation along the fifth coordinate, and we\nobtain a formulation of 4D Quantum Mechanics. If the 5D metric is independent\nof time, we foliate along the time coordinate, and obtain a formulation of 4D\nStatistical Mechanics. If the 5D metric is independent of both time and the\nfifth coordinate, then Quantum and Statistical Mechanics are pictures of the\nsame 5D reality. We also discuss the foliation of a proper space dimension, the\nKlein-Gordon equation, and a 5D Special Relativity, completing our\ninterpretation of the 5D geometry.",
    "arxiv_id": "quant-ph/0205177",
    "authors": [
      "Romulus Breban"
    ],
    "categories": [
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "title": "Interpretation of the Five Dimensional Quantum Propagation of a Spinless   Massless Particle",
    "url": "https://arxiv.org/abs/quant-ph/0205177"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "5e9be035-1f8d-4d95-8687-8892925a24ab",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}