{"paper":{"title":"On blocking Dispersion of Matter by Energy conservation","license":"http://creativecommons.org/publicdomain/zero/1.0/","headline":"Nonlinear terms that block spatial wavefunction dispersion by energy conservation satisfy the derived commutation relations, but their generalization to non-pure spin models does not.","cross_cats":["cond-mat.stat-mech"],"primary_cat":"quant-ph","authors_text":"Leonardo De Carlo","submitted_at":"2024-03-20T16:03:03Z","abstract_excerpt":"In [L. De Carlo and W. D. Wick, Entropy 25, 564 (2023)], we considered the problem of wavefunction ensembles for spin models. To observe magnetization at finite temperature, we had to add macroscopic nonlinear terms that suppress macroscopic superpositions by energy conservation. The nonlinear terms were of the kind introduced in [W. D. Wick, arXiv:1710.03278 (2017)] to block spatial cats by energy conservation, proposed as a solution to the Measurement Problem. Reviewing this theory, I derive commutation relations that these nonlinear terms have to satisfy to be physically admissible, and sho"},"claims":{"count":4,"items":[{"kind":"strongest_claim","text":"The nonlinear terms confining the wavefunction in space do indeed satisfy these relations. I generalize the terms of [L. De Carlo and W. D. Wick, Entropy 25, 564 (2023)] for non-pure spin models and check if they also satisfy the constraints, concluding with a negative answer.","source":"verdict.strongest_claim","status":"machine_extracted","claim_id":"C1","attestation":"unclaimed"},{"kind":"weakest_assumption","text":"The nonlinear terms must satisfy specific commutation relations (derived from the requirement of physical admissibility under energy conservation) for the blocking mechanism to be consistent; this premise enters when the paper reviews the theory and states the conditions the terms have to obey.","source":"verdict.weakest_assumption","status":"machine_extracted","claim_id":"C2","attestation":"unclaimed"},{"kind":"one_line_summary","text":"Nonlinear terms that block spatial cats via energy conservation satisfy derived commutation relations, but their generalization to non-pure spin models does not.","source":"verdict.one_line_summary","status":"machine_extracted","claim_id":"C3","attestation":"unclaimed"},{"kind":"headline","text":"Nonlinear terms that block spatial wavefunction dispersion by energy conservation satisfy the derived commutation relations, but their generalization to non-pure spin models does not.","source":"verdict.pith_extraction.headline","status":"machine_extracted","claim_id":"C4","attestation":"unclaimed"}],"snapshot_sha256":"144d2d2d9cbc77ea7f154f858526e69900064a2253d3d4d0ed7d2068b4ddb098"},"source":{"id":"2403.13699","kind":"arxiv","version":11},"verdict":{"id":"78f96537-01da-48ab-951f-2c20f45921f0","model_set":{"reader":"grok-4.3"},"created_at":"2026-05-24T03:35:53.927283Z","strongest_claim":"The nonlinear terms confining the wavefunction in space do indeed satisfy these relations. I generalize the terms of [L. De Carlo and W. D. Wick, Entropy 25, 564 (2023)] for non-pure spin models and check if they also satisfy the constraints, concluding with a negative answer.","one_line_summary":"Nonlinear terms that block spatial cats via energy conservation satisfy derived commutation relations, but their generalization to non-pure spin models does not.","pipeline_version":"pith-pipeline@v0.9.0","weakest_assumption":"The nonlinear terms must satisfy specific commutation relations (derived from the requirement of physical admissibility under energy conservation) for the blocking mechanism to be consistent; this premise enters when the paper reviews the theory and states the conditions the terms have to obey.","pith_extraction_headline":"Nonlinear terms that block spatial wavefunction dispersion by energy conservation satisfy the derived commutation relations, but their generalization to non-pure spin models does not."},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2403.13699/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":40,"sample":[{"doi":"","year":2014,"title":"Arndt \\ and\\ author K","work_id":"49771d41-349b-466d-9289-831912d2743f","ref_index":1,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":2025,"title":"author author ERC Advanced Grant ,\\ @noop title Q-tube , \\ howpublished https://bist.eu/icfo-researcher-awarded-erc-advanced-grant/ ( year 2025 ) NoStop","work_id":"46a24c3f-648c-4cea-8e04-8fcb5a6e6690","ref_index":2,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":2023,"title":"author author ERC Synergy Grant ,\\ @noop title Q-xtreme , \\ howpublished https://cordis.europa.eu/project/id/951234 ( year 2023 ),\\ note grant agreement ID: 951234 NoStop","work_id":"266caaf9-3d42-4d4c-8e60-f996881a6fa6","ref_index":3,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":2023,"title":"Bassi , author M","work_id":"ddbdfc95-6799-47c7-b051-39faf812ae28","ref_index":4,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":2022,"title":"author author J. R. \\ Hance \\ and\\ author S. Hossenfelder ,\\ title title What does it take to solve the measurement problem? \\ @noop journal journal J. Phys. Commun. \\ volume 6 ,\\ pages 102001 ( year ","work_id":"1f8a8778-33b4-4d64-b662-a234d0d1854d","ref_index":5,"cited_arxiv_id":"","is_internal_anchor":false}],"resolved_work":40,"snapshot_sha256":"30813c0a9f420f4be462a5ebf7cda2d8f388045dc06fedc297ee00a55abfeadb","internal_anchors":2},"formal_canon":{"evidence_count":2,"snapshot_sha256":"a5a0552f7c4d687274258526794bcc95e0f170890c8cc87e54d15073655dc983"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}