{"paper":{"title":"True wavefunctions and antiparticles of Klein-Gordon equation: $\\hbar$-conjugation, elimination of $CPT$-invariance, and anti-gravitation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.gen-ph","authors_text":"A. E. Kaplan","submitted_at":"2018-09-02T04:58:23Z","abstract_excerpt":"While revisiting Klein-Gordon relativistic quantum equation for spin-0 particles, we predicted that $\\hbar$ reverses its sign for negative energies, and formulated a universal symmetry rule, whereby all the parameters that couple particles to external fields reverse their sign along with $\\hbar$ at a particle$\\leftrightarrow$antiparticle transformation; this in particular implies anti-gravitation between matter and antimatter. Our results suggest that the $\\hbar$-conjugation principle and related invariance may replace $CPT$-invariance in general relativistic quantum mechanics."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1809.02051","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"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"}