Pith Number

pith:Z2IOCTUB

pith:2026:Z2IOCTUBNI2I4FLX5SZXLJYWDS

not attested not anchored not stored refs resolved

Consistency in the Quantum-Improved Charged Black Holes

Akihiro Ishibashi, Chiang-Mei Chen, Nobuyoshi Ohta

Thermodynamic consistency allows arbitrary radial dependence for couplings in quantum-improved charged black holes

arxiv:2605.14532 v1 · 2026-05-14 · gr-qc · hep-th

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\pithnumber{Z2IOCTUBNI2I4FLX5SZXLJYWDS}

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5 Replications open

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Claims

C1strongest claim

For the quantum-improved Reissner-Nordström black holes, thermodynamic consistency allows both the Newton and electromagnetic couplings to have arbitrary dependence on the radial coordinate; consistency between the approaches at the equation and action levels requires that the Newton coupling satisfy certain property; quantum-induced modifications can drive the isotropization of the early universe.

C2weakest assumption

The quantum-improved metric with scale-dependent couplings is assumed to be a valid solution whose thermodynamic quantities can be defined in the standard way; the precise form of the scale dependence and the definition of chemical potential with running electromagnetic coupling are taken as given without independent derivation.

C3one line summary

Thermodynamic consistency for quantum-improved Reissner-Nordström black holes permits arbitrary radial dependence in both Newton and electromagnetic couplings, while equation-action consistency requires an extra quantum energy-momentum tensor and specific properties for the Newton coupling.

References

37 extracted · 37 resolved · 20 Pith anchors

[1] would like to thank Department of Physics, Nagoya University for the hospitality during his visit, where part of this work is done

[2] String Theory, Vols 1 & 2, 1998

[3] Rovelli,Loop quantum gravity,Living Rev 1998 · arXiv:gr-qc/9710008

[4] Nonperturbative evolution equation for quantum gravity 1998

[5] Nontrivial ultraviolet fixed point in quantum gravity 1999

Formal links

2 machine-checked theorem links

Receipt and verification

First computed	2026-05-17T23:39:05.929972Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ce90e14e816a348e1577ecb375a7161c8b4ee10653cfc9060b107ec867451507

Aliases

arxiv: 2605.14532 · arxiv_version: 2605.14532v1 · doi: 10.48550/arxiv.2605.14532 · pith_short_12: Z2IOCTUBNI2I · pith_short_16: Z2IOCTUBNI2I4FLX · pith_short_8: Z2IOCTUB

Agent API

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/Z2IOCTUBNI2I4FLX5SZXLJYWDS \
  | 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: ce90e14e816a348e1577ecb375a7161c8b4ee10653cfc9060b107ec867451507

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d5caf47702ad4270cbe06a1611cdf9d49fd0b7cf53d386983a43d000435df0cd",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2026-05-14T08:13:48Z",
    "title_canon_sha256": "68d03e33d8d1825a5591ee4e253500baa4f9560b5f2fd39e60124f2fd7fc0adb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.14532",
    "kind": "arxiv",
    "version": 1
  }
}