Pith Number

pith:FTKG5G5K

pith:2025:FTKG5G5KLNAVV25656BDCN27BU

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Hawking radiation: black hole vs de Sitter

G.E. Volovik

In higher-dimensional de Sitter spacetime the entropy inside the cosmological horizon becomes (d-1)A/8G instead of the usual Gibbons-Hawking value.

arxiv:2510.24502 v7 · 2025-10-28 · gr-qc

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4 Citations open

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The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Claims

C1strongest claim

We found that the entropy of the Hubble volume is S_H=(d-1)A/8G, which modifies the Gibbons-Hawking entropy of horizon. The original form of the Gibbons-Hawking entropy is valid only for d=3.

C2weakest assumption

The local de Sitter temperature is T_dS = H/π, is universal, and does not depend on dimension d; this temperature is used to define the local entropy density that is then integrated over the Hubble volume. (Abstract paragraph on local thermodynamics and the comparison to T_GH = H/2π.)

C3one line summary

Entropy of the Hubble volume in de Sitter spacetime is S_H=(d-1)A/8G in general dimensions, so the original Gibbons-Hawking entropy holds only for d=3.

Formal links

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Cited by

1 paper in Pith

Thermodynamics of homogeneous Universes: de Sitter, Bonnor-Melvin and static Einstein

Receipt and verification

First computed	2026-06-01T01:02:24.607507Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2cd46e9baa5b415aebbeef8231375f0d14cd02e128b99c6325ededb6b99f4fa4

Aliases

arxiv: 2510.24502 · arxiv_version: 2510.24502v7 · doi: 10.48550/arxiv.2510.24502 · pith_short_12: FTKG5G5KLNAV · pith_short_16: FTKG5G5KLNAVV256 · pith_short_8: FTKG5G5K

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/FTKG5G5KLNAVV25656BDCN27BU \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 2cd46e9baa5b415aebbeef8231375f0d14cd02e128b99c6325ededb6b99f4fa4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8635225cf23cc0c4ec802907480fb67683f34236a4755edbca4a1decff4392d2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2025-10-28T15:14:56Z",
    "title_canon_sha256": "691588880667ed66af1c0bb05124a127289fac2c2c660a59edc8d61415d6bb71"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2510.24502",
    "kind": "arxiv",
    "version": 7
  }
}