{
  "annotation_id": "36be9e95-4c4a-4733-b59e-898b6603bfe6",
  "date_created": "2026-03-02T18:02:06.339000Z",
  "date_modified": "2026-03-02T18:02:06.339000Z",
  "file_hash": "12d5ba761aa2fa081ddc25dde3130be247651bb9de656d023f7197457fed8bf1",
  "private": false,
  "record": {
    "abstract": "In this paper we will analyze the the status of gauge freedom in quantum\nmechanics (QM) and quantum field theory (QFT). Along with this analysis\ncomparison with ordinary QFT will be given. We will show how the gauge freedom\nproblem is connected with the spacetime coordinates status - the very point at\nwhich the difficulties of QM begin. A natural solution of the above mentioned\nproblem will be proposed in which we give a slightly more general form of QM\nand QFT (in comparison to the ordinary QFT) with noncommutative structure of\nspacetime playing fundamental role in it. We achieve it by reinterpretation of\nthe Bohr\u0027s complementarity principle on the one hand and by incorporation of\nour gauge freedom analysis on the other. We will present a generalization of\nthe Bargmann\u0027s theory of exponents of ray representations. It will be given an\nexample involving time dependent gauge freedom describing non-relativistic\nquantum particle in nonrelativistic gravitational field. In this example we\ninfer the most general Schroedinger equation and prove equality of the\n(passive) inertial and the gravitational masses of quantum particle.",
    "arxiv_id": "quant-ph/0404028",
    "authors": [
      "Jaroslaw Wawrzycki"
    ],
    "categories": [
      "quant-ph"
    ],
    "title": "Noncommutative Spacetime and Quantum Mechanics",
    "url": "https://arxiv.org/abs/quant-ph/0404028"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "4235d03c-50b4-49da-b854-bb92eff11d9b",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}