{
  "id": "2504.06495",
  "version": "v2",
  "published": "2025-04-08T23:43:16.000Z",
  "updated": "2025-05-16T16:47:40.000Z",
  "title": "Unified Quantum Dynamics: The Emergence of the Born Rule",
  "authors": [
    "Martin Weidner"
  ],
  "categories": [
    "quant-ph"
  ],
  "abstract": "While the Born rule is traditionally introduced as a separate postulate of quantum mechanics, we show it emerges naturally from a modified Schr\\\"odinger equation that includes \"small-signal truncation\". This parallels the way quantum decoherence gives rise to the branches of the multiverse in the \"Many-Worlds Interpretation\", eliminating the need for a separate measurement postulate. Our approach thus offers a unified framework in which both the emergence of multiple branches of the multiverse and their statistical properties follow from a single fundamental law of motion. We model \"small-signal truncation\" in a somewhat stylized manner, but we argue that the precise details of its underlying physical mechanism do not affect the emergence of the Born rule.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2025-05-16T16:47:40.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "born rule",
      "unified quantum dynamics",
      "small-signal truncation",
      "way quantum decoherence",
      "separate measurement postulate"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}