Pith Number

pith:EJSYBPCA

pith:2026:EJSYBPCAVQIT57TSI4GUQ3IQWC

not attested not anchored not stored refs pending

$\mathcal{PT}$ symmetric Klein-Gordon oscillators in Lorentz-violating wormholes

Abdullah Guvendi, Omar Mustafa

Scalar bosonic fields in Lorentz-violating wormholes reduce to a confluent Heun equation with discrete energies set by curvature and violation strength.

arxiv:2605.03366 v2 · 2026-05-05 · gr-qc · quant-ph

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Record completeness

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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

The spectral problem reduces to a confluent Heun structure, leading to conditionally exact solutions and a discrete energy spectrum governed by curvature, Lorentz-violation strength, and oscillator frequency. The associated eigenvalue structure exhibits a relativistic particle-antiparticle symmetry with curvature-induced deformation and parameter-dependent confinement.

C2weakest assumption

The physically motivated ansatz F_t(x) = Omega * r(x) for the nonminimally coupled vector background, which is introduced specifically to generate an effective KG-oscillator interaction intrinsically encoded by the wormhole geometry.

C3one line summary

LV wormhole geometry plus a tuned vector background turns the Klein-Gordon oscillator into a confluent Heun problem whose eigenvalues show curvature-deformed particle-antiparticle symmetry and parameter-dependent confinement.

Receipt and verification

First computed	2026-06-02T01:04:16.450021Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

226580bc40ac113efe72470d486d10b093c666008660c1c52221635711f66758

Aliases

arxiv: 2605.03366 · arxiv_version: 2605.03366v2 · doi: 10.48550/arxiv.2605.03366 · pith_short_12: EJSYBPCAVQIT · pith_short_16: EJSYBPCAVQIT57TS · pith_short_8: EJSYBPCA

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/EJSYBPCAVQIT57TSI4GUQ3IQWC \
  | 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: 226580bc40ac113efe72470d486d10b093c666008660c1c52221635711f66758

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e3e8cdd93269d0e7885a976bf64aae05e0652dc4143cfdb45d293030598f0bec",
    "cross_cats_sorted": [
      "quant-ph"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2026-05-05T05:05:05Z",
    "title_canon_sha256": "2a7f338222b75cfaf955e4bec306f2ae99c7c173330ffa8e849b631bab76085d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.03366",
    "kind": "arxiv",
    "version": 2
  }
}