{
  "annotation_id": "bd0b8731-3ee4-451f-9277-7ef2a2bd4323",
  "date_created": "2026-03-02T18:02:23.827000Z",
  "date_modified": "2026-03-02T18:02:23.827000Z",
  "file_hash": "571fd12dc5f3e8d091261dd071133a8196179650f6a04c0495a59b7fef60be82",
  "private": false,
  "record": {
    "abstract": "The usual quantum mechanics describes the mass eigenstates. To describe the\nproper-time eigenstates, a duality theory of the usual quantum mechanics was\ndeveloped. The time interval is treated as an operator on an equal footing with\nthe space interval, and the quantization of the space-time intervals between\nevents is obtained. As a result, one can show that there exists a zero-point\ntime interval.",
    "arxiv_id": "quant-ph/0602100",
    "authors": [
      "Zhi-Yong Wang",
      "Cai-Dong Xiong",
      "Ai-Lin Zhang"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1007/s10702-006-1061-y",
    "journal_ref": "Foud. Phys. Lett.19, No 7, 735-745 (2006)",
    "title": "Energy translation and Proper-Time Eigenstates",
    "url": "https://arxiv.org/abs/quant-ph/0602100"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "f01d1fb1-29b9-443e-af58-fc284071aabd",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}