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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","authors_text":"Abdullah Guvendi, Omar Mustafa","cross_cats":["quant-ph"],"headline":"Scalar bosonic fields in Lorentz-violating wormholes reduce to a confluent Heun equation with discrete energies set by curvature and violation strength.","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2026-05-05T05:05:05Z","title":"$\\mathcal{PT}$ symmetric Klein-Gordon oscillators in Lorentz-violating wormholes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2605.03366","kind":"arxiv","version":2},"verdict":{"created_at":"2026-05-07T14:35:53.930605Z","id":"2f650169-fd14-49d3-bb46-79ac7dcf73c8","model_set":{"reader":"grok-4.3"},"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","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.","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. 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