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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"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"2605.03366","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2026-05-05T05:05:05Z","cross_cats_sorted":["quant-ph"],"title_canon_sha256":"2a7f338222b75cfaf955e4bec306f2ae99c7c173330ffa8e849b631bab76085d","abstract_canon_sha256":"e3e8cdd93269d0e7885a976bf64aae05e0652dc4143cfdb45d293030598f0bec"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-02T01:04:16.450706Z","signature_b64":"QOdJSe/3/gHLETqea+N2vBC3J0NfW0sW/bS9J81lH8alEjFyMfshhCrslSx0evlJsQ3uc1cfV8z0xUPsSubYAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"226580bc40ac113efe72470d486d10b093c666008660c1c52221635711f66758","last_reissued_at":"2026-06-02T01:04:16.450021Z","signature_status":"signed_v1","first_computed_at":"2026-06-02T01:04:16.450021Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"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. 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