{
  "annotation_id": "2154595a-c7bd-4901-b225-63f4c3c9e299",
  "date_created": "2026-03-02T18:02:06.498000Z",
  "date_modified": "2026-03-02T18:02:06.498000Z",
  "file_hash": "44ce1ec0225590ceb5520cbf324dccd812f06cffa45259c65363dd1be863ea68",
  "private": false,
  "record": {
    "abstract": "I develop the idea that time perception is the quantum counterpart to time\nmeasurement. Phase-locking and prime number theory were proposed as the\nunifying concepts for understanding the optimal synchronization of clocks and\ntheir 1/f frequency noise. Time perception is shown to depend on the\nthermodynamics of a quantum algebra of number and phase operators already\nproposed for quantum computational tasks, and to evolve according to a\nHamiltonian mimicking Fechner\u0027s law. The mathematics is Bost and Connes quantum\nmodel for prime numbers. The picture that emerges is a unique perception state\nabove a critical temperature and plenty of them allowed below, which are\nparametrized by the symmetry group for the primitive roots of unity. Squeezing\nof phase fluctuations close to the phase transition temperature may play a role\nin memory encoding and conscious activity.",
    "arxiv_id": "quant-ph/0403020",
    "authors": [
      "Michel Planat"
    ],
    "categories": [
      "quant-ph",
      "math-ph",
      "math.MP"
    ],
    "journal_ref": "Neuroquantology 2 (4) (2004) 292-308",
    "title": "On the Cyclotomic Quantum Algebra of Time Perception",
    "url": "https://arxiv.org/abs/quant-ph/0403020"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "14be78ea-d834-4b17-81e8-92af898f0037",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}