{
  "id": "2006.15917",
  "version": "v1",
  "published": "2020-06-29T10:16:02.000Z",
  "updated": "2020-06-29T10:16:02.000Z",
  "title": "The Burgers equations and the Born rule",
  "authors": [
    "Dimiter Prodanov"
  ],
  "comment": "21 pages",
  "categories": [
    "math-ph",
    "math.MP",
    "math.PR"
  ],
  "abstract": "The present work demonstrates the connections between the Burgers, diffusion, and Schroedinger's equations. The starting point is a formulation of the stochastic mechanics, which is modeled along the lines of the scale relativity theory. The resulting statistical description obeys the Fokker-Planck equation. This paper further demonstrates the connection between the two approaches, embodied by the study of the Burgers equation, which from this perspective appears as a stochastic geodesic equation. The main result of the article is the transparent derivation of the Born rule from the starting point of a complex stochastic process, based on a complex Fokker-Planck formalism.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-06-29T10:16:02.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35Q40",
      "35Q41"
    ],
    "keywords": [
      "burgers equation",
      "born rule",
      "starting point",
      "scale relativity theory",
      "stochastic geodesic equation"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 21,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}