{
  "abstract": "Georgiev's analysis of a freely precessing spin correctly emphasizes that the Mandelstam-Tamm quantity $ΔT=Δ\\hat A/|d\\langle\\hat A\\rangle/d t|$ is not the variance of a time operator. He concludes, however, that its divergence near the extrema of the clock signal is devoid of physical meaning and that $ΔT$ does not disclose how well the system measures the passage of time. For the same projective $\\hatσ_x$ readout, we show that $ΔT$ equals the inverse square root of the classical Fisher information in one binary outcome at regular operating points. Its divergence at submaximal-coherence extrema therefore identifies a loss of local sensitivity in the selected readout, not an infinite variance of physical time; a complementary $\\hatσ_y$ measurement remains informative. This interpretation also separates Georgiev's exactly known tick--tock period from the statistical precision with which a tick can be located. It preserves his warning against a time-operator interpretation while qualifying his stronger conclusion that the Mandelstam--Tamm scale lacks physical content.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": "Journal reference: Symmetry 2026, 18(11), 1762",
  "arxiv": "2610.24056",
  "author_total": 1,
  "authors": [
    {
      "name": "Jakub Rog"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/2aq0zbj902gh1.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.24056",
  "fulltext_url": null,
  "id": "2aq0zbj902gh1",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.24056",
  "language": null,
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "quant-ph"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2610.24056",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-16",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/2aq0zbj902gh1.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:35:15Z",
      "native_id": "2610.24056",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.24056"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:quant-ph",
      "subfield": "quantum"
    }
  ],
  "title": "Operational Meaning of the Mandelstam-Tamm Time Scale in a Spin-1/2 Clock",
  "title_text": "Operational Meaning of the Mandelstam-Tamm Time Scale in a Spin-1/2 Clock",
  "type": "preprint",
  "updated_at": "2026-10-30T12:35:15Z",
  "url": "https://research.draconitic.com/paper/2aq0zbj902gh1",
  "venue": "arXiv",
  "versions": [
    {
      "doi": "10.3390/sym18111762",
      "pid": null,
      "relation": "published-as",
      "title": null,
      "venue": null
    }
  ]
}