{"paper":{"title":"$\\mathcal{PT}$ symmetric Klein-Gordon oscillators in Lorentz-violating wormholes","license":"http://creativecommons.org/licenses/by/4.0/","headline":"Scalar bosonic fields in Lorentz-violating wormholes reduce to a confluent Heun equation with discrete energies set by curvature and violation strength.","cross_cats":["quant-ph"],"primary_cat":"gr-qc","authors_text":"Abdullah Guvendi, Omar Mustafa","submitted_at":"2026-05-05T05:05:05Z","abstract_excerpt":"We study spin-0 $\\mathcal{PT}$-symmetric Klein-Gordon (KG) oscillator fields in a (3+1)-dimensional Lorentz-violating (LV) traversable wormhole background. The wormhole geometry, characterized by a smooth minimal throat $a$ and a regular lapse sector, induces a curvature-driven deformation of the relativistic quantum dynamics under Lorentz symmetry breaking. A nonminimally coupled non-Hermitian \\(\\mathcal{PT}\\) symmetric scalar bosonic field $\\mathcal{F}_t(x)=i\\tilde{\\Omega}x$, with $\\tilde{\\Omega}=\\Omega/\\sqrt{1-\\zeta}$, generates a globally regular effective \\(\\mathcal{PT}\\) symmetric KG osc"},"claims":{"count":4,"items":[{"kind":"strongest_claim","text":"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.","source":"verdict.strongest_claim","status":"machine_extracted","claim_id":"C1","attestation":"unclaimed"},{"kind":"weakest_assumption","text":"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.","source":"verdict.weakest_assumption","status":"machine_extracted","claim_id":"C2","attestation":"unclaimed"},{"kind":"one_line_summary","text":"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.","source":"verdict.one_line_summary","status":"machine_extracted","claim_id":"C3","attestation":"unclaimed"},{"kind":"headline","text":"Scalar bosonic fields in Lorentz-violating wormholes reduce to a confluent Heun equation with discrete energies set by curvature and violation strength.","source":"verdict.pith_extraction.headline","status":"machine_extracted","claim_id":"C4","attestation":"unclaimed"}],"snapshot_sha256":"9379cf5daf53981973299eef4f908017b1679a8a396d3fc56e84dee41748ff63"},"source":{"id":"2605.03366","kind":"arxiv","version":2},"verdict":{"id":"2f650169-fd14-49d3-bb46-79ac7dcf73c8","model_set":{"reader":"grok-4.3"},"created_at":"2026-05-07T14:35:53.930605Z","strongest_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.","one_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.","pipeline_version":"pith-pipeline@v0.9.0","weakest_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.","pith_extraction_headline":"Scalar bosonic fields in Lorentz-violating wormholes reduce to a confluent Heun equation with discrete energies set by curvature and violation strength."},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2605.03366/integrity.json","findings":[],"available":true,"detectors_run":[{"name":"ai_meta_artifact","ran_at":"2026-05-20T14:33:32.676042Z","status":"completed","version":"1.0.0","findings_count":0},{"name":"doi_title_agreement","ran_at":"2026-05-20T01:31:21.254854Z","status":"completed","version":"1.0.0","findings_count":0},{"name":"doi_compliance","ran_at":"2026-05-19T15:27:44.973342Z","status":"completed","version":"1.0.0","findings_count":0}],"snapshot_sha256":"109e3617178b499b482b73ec20dfdabdfa2a5bf85136f7f98afda907d095ceda"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}