{"paper":{"title":"Ontic Dynamical Locality Reduces to Bell Locality","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"Any dynamical hidden-variable model obeying ontological parameter independence reduces to a static Bell model.","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Ming Yang","submitted_at":"2026-04-20T13:23:09Z","abstract_excerpt":"Bell inequalities exclude a broad class of local hidden-variable explanations of quantum correlations. A recurring objection is that the usual Bell form is static, whereas real measuring devices may contain local memory, stochastic dynamics, and measurement-induced disturbances of their hidden variables. We formulate this objection as a general transition-kernel model for dynamical hidden variables. The only locality assumption is imposed at the ontic level: conditional on the pre-measurement ontic state, the transition kernel and response function in each wing depend on the local setting but "},"claims":{"count":4,"items":[{"kind":"strongest_claim","text":"We establish a generalized transition-kernel framework encompassing dynamical measurement processes and rigorously prove that any dynamical model satisfying ontological parameter independence is mathematically reducible to a static Bell model. We reveal a fundamental trichotomy: to reproduce quantum correlations, a hidden-variable model must violate either (i) strict locality (e.g., ontological parameter and outcome independence), (ii) measurement independence, or (iii) realism.","source":"verdict.strongest_claim","status":"machine_extracted","claim_id":"C1","attestation":"unclaimed"},{"kind":"weakest_assumption","text":"That the generalized transition-kernel framework fully captures all possible dynamical hidden-variable models and that ontological parameter independence is the appropriate locality condition to impose on them.","source":"verdict.weakest_assumption","status":"machine_extracted","claim_id":"C2","attestation":"unclaimed"},{"kind":"one_line_summary","text":"Local dynamical hidden-variable models with ontological parameter independence are equivalent to static Bell models, so quantum correlations cannot arise from purely local dynamical complexity.","source":"verdict.one_line_summary","status":"machine_extracted","claim_id":"C3","attestation":"unclaimed"},{"kind":"headline","text":"Any dynamical hidden-variable model obeying ontological parameter independence reduces to a static Bell model.","source":"verdict.pith_extraction.headline","status":"machine_extracted","claim_id":"C4","attestation":"unclaimed"}],"snapshot_sha256":"79536a3faa783976c7bbbbda30de93971f118dfe5a952b7ab9cbea4552ae6b11"},"source":{"id":"2604.18238","kind":"arxiv","version":4},"verdict":{"id":"ef10c0f4-4147-4495-8f89-6d4bfc232047","model_set":{"reader":"grok-4.3"},"created_at":"2026-05-10T04:44:40.803394Z","strongest_claim":"We establish a generalized transition-kernel framework encompassing dynamical measurement processes and rigorously prove that any dynamical model satisfying ontological parameter independence is mathematically reducible to a static Bell model. We reveal a fundamental trichotomy: to reproduce quantum correlations, a hidden-variable model must violate either (i) strict locality (e.g., ontological parameter and outcome independence), (ii) measurement independence, or (iii) realism.","one_line_summary":"Local dynamical hidden-variable models with ontological parameter independence are equivalent to static Bell models, so quantum correlations cannot arise from purely local dynamical complexity.","pipeline_version":"pith-pipeline@v0.9.0","weakest_assumption":"That the generalized transition-kernel framework fully captures all possible dynamical hidden-variable models and that ontological parameter independence is the appropriate locality condition to impose on them.","pith_extraction_headline":"Any dynamical hidden-variable model obeying ontological parameter independence reduces to a static Bell model."},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2604.18238/integrity.json","findings":[],"available":true,"detectors_run":[{"name":"doi_compliance","ran_at":"2026-05-20T04:16:28.799392Z","status":"completed","version":"1.0.0","findings_count":0}],"snapshot_sha256":"7c66199ebe4517b1c8312839061c1fa8fc9d5d6164a11ac69650f4444d320376"},"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"}