{
  "abstract": "The bounds of the physics of information, Bekenstein's on the entropy of a bounded system, Bekenstein and Hawking's on the entropy of a horizon, the Margolus-Levitin and Bremermann limits on the rate of computation, Lloyd's ultimate laptop and Landauer's cost of erasure, all mix the constants ℏ, c, k B and G that the relativity at eleven parameters carries in its relativity principle. This paper shows that three structures of the eleven give these bounds a common origin. The first is the thermal circle of the thermal theory of the eleven, the Euclidean time circle of radius ℏc/(2πk B T ), which has two ends: it cannot be shorter than the Planck length, which is the maximal temperature T P /(2π), and it cannot exceed the region that confines the system, which is Bekenstein's bound S ≤ 2πk B RE/(ℏc) in form; at a horizon, R = r g , the second end is Bekenstein-Hawking's A/(4L 2 P ) exactly, and at the Planck length the two ends meet in the relic of one bit. The second is the acceleration bound a ≤ mc 3 /ℏ, which bounds the rate at which a body's momentum, its register, can be rewritten by one Compton momentum per Compton time, and which is the Margolus-Levitin limit of the momentum sector to the factor 2/π; summed over the bodies of a computer of mass M it gives M c 2 /ℏ operations per second, π/2 times Lloyd's 2M c 2 /(πℏ). The third is the compact spin sector, whose 2s + 1 states are the eleven's bits, and, in the quantum step of the ninth article, the two scales L P and R of Yang's algebra, whose ratio squared gives the holographic count of the universe, π(R/L P ) 2 /(ln 2) = 3×10 122 bits for the Hubble radius, and the inverse of the cosmological constant in Planck units. Lloyd's ultimate laptop, one kilogram in one litre, is then read in the eleven: its temperature 5.9 × 10 8 K is 0.62 of the maximal temperature of the electron bath, its thermal circle of 6 × 10 -13 m sits between the Planck length and the litre, and its memory of 2 × 10 31 bits is eleven orders below Bekenstein's bound because it is not a black hole. Landauer's cost has a maximum in the eleven, (mc 2 /(2π)) ln 2 per bit for a memory of bodies of mass m, 56 keV for electrons, and 1.35 × 10 18 GeV at the ceiling. The paper ends with the bits of the horizon and of the bounce: the relic of the thermal theory holds 1.13 bits, and the bounce ball of a stellar black hole carries 10 39 nats of thermal entropy through a sphere whose area allows 10 25 , which is the known failure of the entropy bounds where the null energy condition fails, and the place where the eleven's information passes into the daughter universe unbounded.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": null,
  "author_total": 1,
  "authors": [
    {
      "name": "Patrick .B Reynaud"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/dxxz845r034m4.bib",
  "cited_by": 0,
  "doi": null,
  "fulltext_url": null,
  "id": "dxxz845r034m4",
  "issns": [],
  "landing_url": "https://hal.science/hal-05749768v2",
  "language": "en",
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "https://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": null,
  "native_subjects": [
    [
      "hal",
      "0.phys"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://hal.science/hal-05749768/document",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-14",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/dxxz845r034m4.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:17:44Z",
      "native_id": "hal-05749768",
      "source": "hal",
      "url": "https://hal.science/hal-05749768v2"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "hal:0.phys",
      "subfield": "general"
    }
  ],
  "title": "Physics of information at eleven parameters",
  "title_text": "Physics of information at eleven parameters",
  "type": "preprint",
  "updated_at": "2026-10-30T12:17:44Z",
  "url": "https://research.draconitic.com/paper/dxxz845r034m4",
  "venue": "HAL",
  "versions": []
}