{"record":{"author":{"account_ref":null,"orcid":null},"builds_on":[],"content_schema":"pubphys.content.revision/1","content_sha256":"5298aad22ad28476e6b59015c7b1f5aea16d04fe8c6d52476e23965f2de507dc","created":"2026-10-03T07:18:09Z","files":[],"origin":{"assisted_by":[],"kind":"seed"},"parents":["5475cf5dc5b1a72283d26dc95dc6e00d7ea4e00096a7c6492e409a1816eeb011"],"salt":"fa96853857d23a2636b68af8566a1bc32d9ce0ebdb54cc979c9d59946e38a65f","schema":"pubphys.record/2","site":"pubphys.com","target":null,"type":"revision"},"content":{"answer_type":"yes-no","assisted_by":[],"external_id":"qi.causal-order-qrf.causal-inequality-realization","kind":"well-posed","literature_status":"partially-resolved","n":"1","parents":[],"plain":"Some theoretical processes give correlations that no fixed, or randomly chosen, order of events could explain; these violate causal inequalities. They cannot appear for events localized in an ordinary fixed spacetime; whether a spacetime in superposition, as quantum gravity may allow, can produce them is unknown.","posed_since":"2012","precise":"Causal inequalities bound correlations $p(a,b\\mid x,y)$ achievable when parties act in a definite or classically random order. With spacetime-localized operations in a fixed acyclic spacetime they cannot be violated (Vilasini and Renner, PRA 2024), and on time-delocalized subsystems they can (Wechs, Branciard, Oreshkov, Nat. Commun. 2023). Determine whether a violation by spacetime-localized operations is possible when the spacetime geometry itself is in superposition (a gravitating source mass in spatial superposition), and give the minimal source mass and coherence time for it.","problem_ref":null,"references":"","settled_by":"A proof that localized realizations are impossible even with superposed geometry, or an explicit physical protocol with a gravitating source in superposition achieving a violation.","status_note":"Fixed-spacetime localized realizations are excluded (Vilasini and Renner, PRA 2024); time-delocalized realizations exist (Wechs et al., 2023); the dynamical-spacetime case is open.","title":"Can causal inequalities be violated when spacetime itself is superposed?","topic_ref":"0d56bf5e6184723e4f024030c3c79a9dde6f6fca1514c152e520bdf56cfb78be"},"attested":{"attestation":{"batch":null,"client_id":null,"id_token_sha256":null,"kind":"platform"},"record_hash":"ee7290b9ee5d5afe72ee6f5beee6d40197e22f657e1a22e7b2769558c8564cdf","schema":"pubphys.attested/1"},"envelope":{"attested_hash":"12c9d1da234216ccb396a7188c942a5f36601451e7f89492fdf053abf1e48577","platform_signature":{"key_id":"c6afc19b31429869751f06879c75cd64ea92654423d15b44be775bf1310a60da","sig":"-VU0oTMvpNz1edFbnRjQUWOzakw-5mOBzuoeOuGweek-bakCgefg8CdVd1p0Kabk7vGXX6gvOuHoYJ0WiOHYAQ"},"schema":"pubphys.envelope/1"},"record_hash":"ee7290b9ee5d5afe72ee6f5beee6d40197e22f657e1a22e7b2769558c8564cdf","leaf_index":1965}