{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:XQGFZYJZXM44G3UWZW33BEIIGD","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"406eef6cb7314e3cb2ca9b08d41f2d6f9efbbff7d0b920f1dc9c347af37ff9ab","cross_cats_sorted":["gr-qc","physics.atom-ph"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2026-05-13T15:35:20Z","title_canon_sha256":"eff9bec1c2eaf6e3fac27da7fa868496e356fbf59d4a4b65947eab0d7660f7ff"},"schema_version":"1.0","source":{"id":"2605.13677","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2605.13677","created_at":"2026-05-18T02:44:17Z"},{"alias_kind":"arxiv_version","alias_value":"2605.13677v1","created_at":"2026-05-18T02:44:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2605.13677","created_at":"2026-05-18T02:44:17Z"},{"alias_kind":"pith_short_12","alias_value":"XQGFZYJZXM44","created_at":"2026-05-18T12:33:37Z"},{"alias_kind":"pith_short_16","alias_value":"XQGFZYJZXM44G3UW","created_at":"2026-05-18T12:33:37Z"},{"alias_kind":"pith_short_8","alias_value":"XQGFZYJZ","created_at":"2026-05-18T12:33:37Z"}],"graph_snapshots":[{"event_id":"sha256:bed72a9a19486c0514ffcbb013b97a8d4009996e8359f11a2936b12c664a0096","target":"graph","created_at":"2026-05-18T02:44:17Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":4,"items":[{"attestation":"unclaimed","claim_id":"C1","kind":"strongest_claim","source":"verdict.strongest_claim","status":"machine_extracted","text":"The resulting decoherence has two components: (1) arising from a modified field spectrum observed by the particle; and (2) due to a differential time-dilation over the particle's extended spatial wavefunction. For stationary trajectories, both contributions take an effectively thermal form."},{"attestation":"unclaimed","claim_id":"C2","kind":"weakest_assumption","source":"verdict.weakest_assumption","status":"machine_extracted","text":"Assuming a separation of time scales between the particle's internal and external dynamics to obtain the effective red-shifted polarizability, together with the Born-Markov approximation for the master equation."},{"attestation":"unclaimed","claim_id":"C3","kind":"one_line_summary","source":"verdict.one_line_summary","status":"machine_extracted","text":"Decoherence of spatial superpositions along stationary worldlines arises from a red-shifted polarizability leading to thermal-like effects from modified field spectrum and differential time dilation."},{"attestation":"unclaimed","claim_id":"C4","kind":"headline","source":"verdict.pith_extraction.headline","status":"machine_extracted","text":"A particle's spatial superposition along a stationary worldline decoheres from a modified vacuum field spectrum and differential time dilation across its wavefunction."}],"snapshot_sha256":"496f66ead66a887c29d531c428544054756d48eeadb333a8e2658547db8c1538"},"formal_canon":{"evidence_count":2,"snapshot_sha256":"0e1175366c962b44aac12cdb370a3e4c8b4e7387ac7944b21fc631048c237bd5"},"paper":{"abstract_excerpt":"We analyze the decoherence of a particle's spatial superposition moving along a stationary worldline through the Minkowski vacuum. The particle is modeled via an internal degree of freedom that couples to a scalar field, and an external degree of freedom, i.e., its quantized center-of-mass motion around the stationary worldline. Assuming a separation of time scales between the particle's internal and external dynamics, we first obtain an effective red-shifted polarizability of the particle, characterizing the trajectory-dependent linear response of the internal oscillator to the field. We then","authors_text":"Aaron Bartleson, Clemens Jakubec, Kanu Sinha, Peter W. Milonni","cross_cats":["gr-qc","physics.atom-ph"],"headline":"A particle's spatial superposition along a stationary worldline decoheres from a modified vacuum field spectrum and differential time dilation across its wavefunction.","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2026-05-13T15:35:20Z","title":"Decoherence of spatial superpositions along stationary worldlines"},"references":{"count":72,"internal_anchors":1,"resolved_work":72,"sample":[{"cited_arxiv_id":"","doi":"","is_internal_anchor":false,"ref_index":1,"title":"The particle’s quantized center-of-mass interacts with the field via the internal oscillator, as given by the following interaction Hamiltonian: ˆHDU int (τ)≡−1 2 ˆXi(τ) { ˙ˆd0,st(τ),∂i ˆϕ(τ) } (19) T","work_id":"5bc6b09f-5f2f-4305-ada0-56110118639c","year":null},{"cited_arxiv_id":"","doi":"","is_internal_anchor":false,"ref_index":2,"title":"The differential time dilation across the center-of- mass wavefunction, described by the redshift-factor g00, gives rise to the interaction Hamiltonian: ˆHTD int (τ)≡ai ˆXi(τ) 4c2 { ˙ˆd1,st(τ)−˙ˆd0,st","work_id":"0c85ffed-46d1-4caf-bd79-215abe4f14b2","year":null},{"cited_arxiv_id":"","doi":"","is_internal_anchor":false,"ref_index":3,"title":"The diagonal termsΛii correspond to the decoher- ence in the position basis: Λij = 1 2ℏ2 ∫ ∞ 0 dτ′ ⣨{ ˆBi(τ),ˆBj(τ−τ′) }⟩ .(27)","work_id":"68b4ea47-e74e-4f78-94b4-8289abd6605c","year":null},{"cited_arxiv_id":"","doi":"","is_internal_anchor":false,"ref_index":4,"title":"The dissipation of the center-of-mass energy into the environment is Γij≡i 2Mℏ ∫ ∞ 0 dτ′τ′ ⣨[ ˆBi(τ),ˆBj(τ−τ′) ]⟩ .(28) Decoherence rateΛ ii is related toΓ ii via the fluctuation-dissipation theorem:2","work_id":"0514164e-704a-4b22-a16b-f59e78d1dd1f","year":null},{"cited_arxiv_id":"","doi":"","is_internal_anchor":false,"ref_index":5,"title":"The system Hamiltonian is modified by the terms: C(1) i ≡ ⣨ ˆBi(τ) ⟩ ,and (29) C(2) ij ≡i 2ℏ ∫ ∞ 0 dτ′ ⣨[ ˆBi(τ),ˆBj(τ−τ′) ]⟩ .(30) Remarkably, these contributions are akin to the first derivative of ","work_id":"817eab49-578c-42d9-a715-058a777a4161","year":null}],"snapshot_sha256":"832f911cb9732eff12bff4d90e4b3deca778cdc4af4efad55f31488f63178f61"},"source":{"id":"2605.13677","kind":"arxiv","version":1},"verdict":{"created_at":"2026-05-14T17:43:30.200619Z","id":"923cb908-2c83-48d7-88d8-b22057f3b6c1","model_set":{"reader":"grok-4.3"},"one_line_summary":"Decoherence of spatial superpositions along stationary worldlines arises from a red-shifted polarizability leading to thermal-like effects from modified field spectrum and differential time dilation.","pipeline_version":"pith-pipeline@v0.9.0","pith_extraction_headline":"A particle's spatial superposition along a stationary worldline decoheres from a modified vacuum field spectrum and differential time dilation across its wavefunction.","strongest_claim":"The resulting decoherence has two components: (1) arising from a modified field spectrum observed by the particle; and (2) due to a differential time-dilation over the particle's extended spatial wavefunction. For stationary trajectories, both contributions take an effectively thermal form.","weakest_assumption":"Assuming a separation of time scales between the particle's internal and external dynamics to obtain the effective red-shifted polarizability, together with the Born-Markov approximation for the master equation."}},"verdict_id":"923cb908-2c83-48d7-88d8-b22057f3b6c1"}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:c5c9603960a517ad5c8690ce3c82d29dee332439c02264c16859e920e25c663c","target":"record","created_at":"2026-05-18T02:44:17Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"406eef6cb7314e3cb2ca9b08d41f2d6f9efbbff7d0b920f1dc9c347af37ff9ab","cross_cats_sorted":["gr-qc","physics.atom-ph"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2026-05-13T15:35:20Z","title_canon_sha256":"eff9bec1c2eaf6e3fac27da7fa868496e356fbf59d4a4b65947eab0d7660f7ff"},"schema_version":"1.0","source":{"id":"2605.13677","kind":"arxiv","version":1}},"canonical_sha256":"bc0c5ce139bb39c36e96cdb7b0910830d21cccca2286f0eab1b2df8f9224bec6","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"bc0c5ce139bb39c36e96cdb7b0910830d21cccca2286f0eab1b2df8f9224bec6","first_computed_at":"2026-05-18T02:44:17.067485Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:44:17.067485Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"TM1CQUmsYhnJXf7kHf8GX2QS/pl3VbYRV2xs3TrYX7cvIHcJlokJrMbKvWc9B0yXI2kEHJPREKHp1S6vHJCYBA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:44:17.068056Z","signed_message":"canonical_sha256_bytes"},"source_id":"2605.13677","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c5c9603960a517ad5c8690ce3c82d29dee332439c02264c16859e920e25c663c","sha256:bed72a9a19486c0514ffcbb013b97a8d4009996e8359f11a2936b12c664a0096"],"state_sha256":"a8fb3eb4ca92078e50e9d5baddca4bb1ecfc22a41aaa4d9c37bbe32575b2505b"}