Pith Number

pith:QJ73CLYF

pith:2026:QJ73CLYFX7ILWXXO4ZWTFTYDCJ

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Greybody Factor, Resonant Frequencies, and Entropy Quantization of Charged Scalar Fields in the Kerr-EMDA Black Hole

\.Izzet Sakall{\i}, Naz{\i}m Sertkan

Resonant frequencies of charged scalars in Kerr-EMDA black holes have imaginary parts spaced exactly by 1/(2M), yielding a horizon-dependent entropy quantum.

arxiv:2604.19848 v2 · 2026-04-21 · gr-qc · astro-ph.HE · hep-th · quant-ph

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Claims

C1strongest claim

Applying the CHF polynomial condition, we derive the resonant frequency spectrum whose imaginary parts are equispaced with |Δω_I| = 1/(2M), a universal spacing determined solely by the BH mass. Via the Maggiore prescription and the first law of BH thermodynamics, this yields a parameter-dependent entropy quantum δS_BH = 4π r_+/(r_+ - r_-), which reduces to 4π for Schwarzschild but diverges at extremality.

C2weakest assumption

The assumption that the confluent Heun function parameters arising from the separated gauge-covariant Klein-Gordon equation in the Kerr-EMDA metric permit a polynomial termination condition that enforces the claimed universal imaginary frequency spacing independent of scalar charge q and dilaton parameter D.

C3one line summary

Charged scalar fields on Kerr-EMDA black holes admit confluent Heun solutions yielding universal imaginary frequency spacing 1/(2M), entropy quanta 4π r_+/(r_+ - r_-), and the first analytical greybody factors for this geometry.

Receipt and verification

First computed	2026-05-25T02:01:20.826771Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

827fb12f05bfd0bb5eeee66d32cf031276c22d1139221386d9b784947733c602

Aliases

arxiv: 2604.19848 · arxiv_version: 2604.19848v2 · doi: 10.48550/arxiv.2604.19848 · pith_short_12: QJ73CLYFX7IL · pith_short_16: QJ73CLYFX7ILWXXO · pith_short_8: QJ73CLYF

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/QJ73CLYFX7ILWXXO4ZWTFTYDCJ \
  | 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: 827fb12f05bfd0bb5eeee66d32cf031276c22d1139221386d9b784947733c602

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fc5eadf3bc08794bebaf340de8ccd9f266263ca2a7a028336305ce3a3acb39ff",
    "cross_cats_sorted": [
      "astro-ph.HE",
      "hep-th",
      "quant-ph"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2026-04-21T13:37:04Z",
    "title_canon_sha256": "e91b1461bce6d766c387dff3b5b07b45176333cb043afd12b05d13f3fa345b6b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2604.19848",
    "kind": "arxiv",
    "version": 2
  }
}