{"paper":{"title":"Battery-Explicit Thermodynamic Witnesses of Bell Post-Quantumness","license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","headline":"A single energy-preserving SWAP turns the CHSH correlator into an exact expected battery charge.","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Piotr \\'Cwikli\\'nski","submitted_at":"2026-05-09T20:18:44Z","abstract_excerpt":"We introduce a battery-explicit thermodynamic witness of post-quantum Bell correlations. In each round, a single supplied excitation is routed into an explicit two-level battery if and only if a Bell-game condition is satisfied. The routing operation is implemented by an energy-preserving controlled SWAP, with all logical control registers taken to be degenerate. Thus the correlation resource does not create energy; it only determines the probability that the supplied excitation reaches the battery.\n  The construction is first formulated for finite two-player XOR games. For any such game, the "},"claims":{"count":4,"items":[{"kind":"strongest_claim","text":"E[W_ext] = Δ(½ + S(P)/8) so that Tsirelson's bound becomes a quantum ceiling on the mean battery charge while a PR-box reaches E[W_ext] = Δ.","source":"verdict.strongest_claim","status":"machine_extracted","claim_id":"C1","attestation":"unclaimed"},{"kind":"weakest_assumption","text":"The module is trusted, the SWAP is strictly energy-preserving, and the underlying resource is a nonsignaling correlation; any deviation from these premises would invalidate the exact affine mapping.","source":"verdict.weakest_assumption","status":"machine_extracted","claim_id":"C2","attestation":"unclaimed"},{"kind":"one_line_summary","text":"A single excitation is routed by an energy-preserving SWAP into a binary battery whose mean charge equals Δ times (½ + S/8), turning Tsirelson's bound into a quantum ceiling on battery work.","source":"verdict.one_line_summary","status":"machine_extracted","claim_id":"C3","attestation":"unclaimed"},{"kind":"headline","text":"A single energy-preserving SWAP turns the CHSH correlator into an exact expected battery charge.","source":"verdict.pith_extraction.headline","status":"machine_extracted","claim_id":"C4","attestation":"unclaimed"}],"snapshot_sha256":"650c01d9806bc3c6a83f620380b8c47c1e429e009dabf53e12a698d9b9b199b1"},"source":{"id":"2605.09149","kind":"arxiv","version":2},"verdict":{"id":"254b7adf-c328-4df4-84f8-55fa9cf9c6a1","model_set":{"reader":"grok-4.3"},"created_at":"2026-05-12T02:01:24.531773Z","strongest_claim":"E[W_ext] = Δ(½ + S(P)/8) so that Tsirelson's bound becomes a quantum ceiling on the mean battery charge while a PR-box reaches E[W_ext] = Δ.","one_line_summary":"A single excitation is routed by an energy-preserving SWAP into a binary battery whose mean charge equals Δ times (½ + S/8), turning Tsirelson's bound into a quantum ceiling on battery work.","pipeline_version":"pith-pipeline@v0.9.0","weakest_assumption":"The module is trusted, the SWAP is strictly energy-preserving, and the underlying resource is a nonsignaling correlation; any deviation from these premises would invalidate the exact affine mapping.","pith_extraction_headline":"A single energy-preserving SWAP turns the CHSH correlator into an exact expected battery charge."},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2605.09149/integrity.json","findings":[],"available":true,"detectors_run":[{"name":"claim_evidence","ran_at":"2026-05-20T08:22:01.626125Z","status":"completed","version":"1.0.0","findings_count":0},{"name":"ai_meta_artifact","ran_at":"2026-05-19T20:36:35.979775Z","status":"completed","version":"1.0.0","findings_count":0},{"name":"doi_title_agreement","ran_at":"2026-05-19T13:31:18.651699Z","status":"completed","version":"1.0.0","findings_count":0},{"name":"doi_compliance","ran_at":"2026-05-19T10:29:44.654036Z","status":"completed","version":"1.0.0","findings_count":0}],"snapshot_sha256":"a94b1bd4f64d4c838e6c820acd7b92b5269c7ed9e97922258e260a26baee153b"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":2,"snapshot_sha256":"1adad974124a2cc67d14ad8cff020d4151e611cb74da92be5ec35c0bff870de1"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}