{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:PQRMTBJGIJCWDH4B7G6ECNDPI6","short_pith_number":"pith:PQRMTBJG","schema_version":"1.0","canonical_sha256":"7c22c985264245619f81f9bc41346f4798009484bef2bbbb5291e351ad9c9ccf","source":{"kind":"arxiv","id":"1403.4921","version":3},"attestation_state":"computed","paper":{"title":"Problems with the Newton-Schr\\\"odinger Equations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"B. L. Hu, C. Anastopoulos","submitted_at":"2014-03-19T19:36:48Z","abstract_excerpt":"We examine the origin of the Newton-Schr\\\"odinger equations (NSEs) that play an important role in alternative quantum theories (AQT), macroscopic quantum mechanics and gravity-induced decoherence. We show that NSEs for individual particles do not follow from general relativity (GR) plus quantum field theory (QFT). Contrary to what is commonly assumed, the NSEs are not the weak-field (WF), non-relativistic (NR) limit of the semi-classical Einstein equation (SCE) (this nomenclature is preferred over the `M\\/oller-Rosenfeld equation') based on GR+QFT. The wave-function in the NSEs makes sense onl"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1403.4921","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2014-03-19T19:36:48Z","cross_cats_sorted":[],"title_canon_sha256":"75597e25b0d3cd2e761b948d386f74cc6cf5822fab6712ab33859f77105fa52e","abstract_canon_sha256":"8fecf76cfc618630b270eb92438197e61df190a80b6cffaea68de63a944d341e"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:43:59.176836Z","signature_b64":"369GHiX9D/EvgCH5iWzIByw3I1IJs/0/QWzPu9FZTVrNa3dyetY5dT85l5N/V0uoELG67ut8xXOCqamjskG4Ag==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7c22c985264245619f81f9bc41346f4798009484bef2bbbb5291e351ad9c9ccf","last_reissued_at":"2026-05-18T01:43:59.176232Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:43:59.176232Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Problems with the Newton-Schr\\\"odinger Equations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"B. L. Hu, C. Anastopoulos","submitted_at":"2014-03-19T19:36:48Z","abstract_excerpt":"We examine the origin of the Newton-Schr\\\"odinger equations (NSEs) that play an important role in alternative quantum theories (AQT), macroscopic quantum mechanics and gravity-induced decoherence. We show that NSEs for individual particles do not follow from general relativity (GR) plus quantum field theory (QFT). Contrary to what is commonly assumed, the NSEs are not the weak-field (WF), non-relativistic (NR) limit of the semi-classical Einstein equation (SCE) (this nomenclature is preferred over the `M\\/oller-Rosenfeld equation') based on GR+QFT. The wave-function in the NSEs makes sense onl"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1403.4921","kind":"arxiv","version":3},"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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1403.4921","created_at":"2026-05-18T01:43:59.176329+00:00"},{"alias_kind":"arxiv_version","alias_value":"1403.4921v3","created_at":"2026-05-18T01:43:59.176329+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1403.4921","created_at":"2026-05-18T01:43:59.176329+00:00"},{"alias_kind":"pith_short_12","alias_value":"PQRMTBJGIJCW","created_at":"2026-05-18T12:28:43.426989+00:00"},{"alias_kind":"pith_short_16","alias_value":"PQRMTBJGIJCWDH4B","created_at":"2026-05-18T12:28:43.426989+00:00"},{"alias_kind":"pith_short_8","alias_value":"PQRMTBJG","created_at":"2026-05-18T12:28:43.426989+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/PQRMTBJGIJCWDH4B7G6ECNDPI6","json":"https://pith.science/pith/PQRMTBJGIJCWDH4B7G6ECNDPI6.json","graph_json":"https://pith.science/api/pith-number/PQRMTBJGIJCWDH4B7G6ECNDPI6/graph.json","events_json":"https://pith.science/api/pith-number/PQRMTBJGIJCWDH4B7G6ECNDPI6/events.json","paper":"https://pith.science/paper/PQRMTBJG"},"agent_actions":{"view_html":"https://pith.science/pith/PQRMTBJGIJCWDH4B7G6ECNDPI6","download_json":"https://pith.science/pith/PQRMTBJGIJCWDH4B7G6ECNDPI6.json","view_paper":"https://pith.science/paper/PQRMTBJG","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1403.4921&json=true","fetch_graph":"https://pith.science/api/pith-number/PQRMTBJGIJCWDH4B7G6ECNDPI6/graph.json","fetch_events":"https://pith.science/api/pith-number/PQRMTBJGIJCWDH4B7G6ECNDPI6/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/PQRMTBJGIJCWDH4B7G6ECNDPI6/action/timestamp_anchor","attest_storage":"https://pith.science/pith/PQRMTBJGIJCWDH4B7G6ECNDPI6/action/storage_attestation","attest_author":"https://pith.science/pith/PQRMTBJGIJCWDH4B7G6ECNDPI6/action/author_attestation","sign_citation":"https://pith.science/pith/PQRMTBJGIJCWDH4B7G6ECNDPI6/action/citation_signature","submit_replication":"https://pith.science/pith/PQRMTBJGIJCWDH4B7G6ECNDPI6/action/replication_record"}},"created_at":"2026-05-18T01:43:59.176329+00:00","updated_at":"2026-05-18T01:43:59.176329+00:00"}