{"schema":"pubphys.bundle/1","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"},"content_withheld":"false","files":[],"attested":{"attestation":{"batch":null,"client_id":null,"id_token_sha256":null,"kind":"platform"},"record_hash":"ee7290b9ee5d5afe72ee6f5beee6d40197e22f657e1a22e7b2769558c8564cdf","schema":"pubphys.attested/1"},"id_token":null,"id_token_withheld":"false","envelope":{"attested_hash":"12c9d1da234216ccb396a7188c942a5f36601451e7f89492fdf053abf1e48577","platform_signature":{"key_id":"c6afc19b31429869751f06879c75cd64ea92654423d15b44be775bf1310a60da","sig":"-VU0oTMvpNz1edFbnRjQUWOzakw-5mOBzuoeOuGweek-bakCgefg8CdVd1p0Kabk7vGXX6gvOuHoYJ0WiOHYAQ"},"schema":"pubphys.envelope/1"},"ots":{"attested":["AE9wZW5UaW1lc3RhbXBzAABQcm9vZgC_ieLohOiSlAEIEsnR2iNCFsyzlqcYjJQqXzZgFFHn-JSS_fBTq_HkhXfwIBLKZ9aQxfpAzbUoJ7KW6pKg0bd8uxAGvFT1ra1XohdnCPAgkMmHHfbAFS6z3dsshY15wf-6dHchffi7BPLYAnhhWIMI8SBJjACnAU3thW4fpp78F1eaN8HrzuBr4SBVbxLIvCA9zQjxIC1jdD2ydPTErgsA572jkEAD9-HUcSG537bHcu5wvf8LCPEgD8Rd2xqIM-ZT-XtrWymMumKdYKxfUMynFcLl0BVodioI8SC5he2t2fcU1aKrHJZJHW-PM6nw9YlFNhFmJiC8yiggXAjwIPxHut0KiKAqNW7UryE5RjbDrp6saZZ9vAOGFJXKfQCACPAg4duurmZDAdfNGsSTw9mNvFYpVAY2z2S-jm5XHnSBx-UI8SByOXFSMcZPx-OI54voF1A1KoKCW2ZGWFJKc0hkOGWyGQjwIMIc4xq7iJ2YP27EtWYUvEm4-TQD7cayDq2XvZh74n3BCPAg3v2QXfNkDO6Xzu9061umH0rhjRfHBKza3uG2nPQbpd8I8CCtNZgmApuKULvPC9nsMCaM05arV-F3o5FTlnJCnRvdMgjwIBGYo5Vxy-d7U5zKv5vp3Ii7hJPH_BDLCzA13c47p9q7CP_wCHbghVgOFMuNCPAQPZK2lHbTMqcCYUotzOQcmQjwIJ7ruRIs6HnufKxCpmLUgeUl0aUu0ov4_3PqcppS-bddCPEgI530vHzdwz_3o9jYQ3WablSaV64Wfn7Pmby5WLyI-A0I8QRqwKw78AhITF7Tr3a1xP8Ag9_jDS75DI4sK2h0dHBzOi8vYm9iLmJ0Yy5jYWxlbmRhci5vcGVudGltZXN0YW1wcy5vcmcI8CBXWeNiWFWltfHE0nkDXsVKIykUUwuObhsnN-2fvBt98gjwIM5Vf7j68sOFgVysYMc5S09Hho-fqxYW3oQ4oKUX7JpPCPAgaKHHQB3sdd9w1hu4NMh7vmb-p0X2r4uyVKKCj1G7S28I8SAW2Mg6Bzi9ygjrrjIYB7w90fwMcxH24SsqLmzPyAMGfwjwIMQ863zlveYIpNKWVrZaDOa4vowwoOg2CcTW8gXtxK3dCPEgrZxGGAf-t8jhz_eLMUyBN1IhNrdYDRcNHWvQcwNG9woI8CCVOUHG1YXudbaFIgUYvrCIevRWvb2ubhQAo-z0duD0rQjxIDBeKerVGkO3J2eXDwdraSioXbIWsdIPEN1s8pIwJIS2CPAgV2kB3n3JZ5HwBQjpRL1CWKnqvdCjZk3RcALk6N2wHigI8CB-wbljNlfqElD25uZkNg6taS81YDRU2vfMqGVQ420O9AjxWQEAAAABJM43UU6MLMRrPlCUqossvu1q_knons5yylyWTgxZzWUAAAAAAP7___8CLgABAAAAAAAWABQrYt3E7OllKRCEmL3FL589l78_5wAAAAAAAAAAImog8ATiyw4ACAjxILmbcIO7ixv3pCtwUMZ1VQGKus54F9lZ8-w5ECD5ZuiICAjwIG6ynCyFTLPE7Rgk-0ZGCtBDyqNQx8YvaSZNHy8D8p8jCAjwIMX8zoD2Be1YWvcx_bexVPRmBX0hK-do8b8t9SarimQVCAjxIG6XtpqIEclLlhzcK1LVjqoPGrjjmLnyno8tcETMzECECAjwIF6mlfXOFY51JhrK4eze8zQlKV75OYZYqbtyi8BWxmAsCAjwIKKUcJmVoz-u-geiRV_-ZHdF0VEPXaEPFWf_JX_0e7G2CAjxIGMeD0Z5QWNKBcAEpHht007FFIILW6aSJ8f3CMkKNsneCAjwIBFr6Je8rkB7kwhPGbq0yRgFwZsvW9JhY5sXDRtrq0QwCAjwIAHAwXaus-yUgKICJB5mVvx8VZuJgjwnpb0qWPg1pi6DCAjxIAJhb8cefkVHTAMymdsxa-_i-tUua62LcpALQnPG7R9_CAjwIDvsFqBhPfAL6TCtXZd7gBWmMpx6iiZ-Ug0Jf_LlcstgCAjwIDJRBX6Q0Vge-ra-k1_g76yJWTEp6WWF13I3JpTnsZPJCAjwILykZCbkC9VQgl5gytPKKir6T9nTvKR6y05iWSHBTQgzCAgABYiWDXPXGQED45c78Ah-sGbmQAwfZwjwEAYqxtHnZiPZnJEGPx_JvKsI8SDXkqDg17YsZIrEz5acRx7mBXCKW5mKNgRYnw_-U2cpDgjxBGrArDrwCEfK6Mono428_wCD3-MNLvkMji4taHR0cHM6Ly9hbGljZS5idGMuY2FsZW5kYXIub3BlbnRpbWVzdGFtcHMub3JnCPAg10nyJ6Jn4kshQQQCKE0Lvj3hBC6nLRBVIzaPV4eh8VwI8CCQaAqWlxEbac_XOq1MOlf9iOKHEsxXspzbjK0vLpy8BwjwII3iRbRXUcDxrhAdkZmFlI15nySCSEZ7g922tF1Xln5DCPEgYYvZ1L4v4rPu_UqLfcHPtwSb2OH2GhPgVcVhhH6DpkQI8CDZCIoR20sC-uchP40oAmcLm9EJFV7xzwplj54AeVadXQjxILvLBjPFpCoz29m9Yf2qRnV7PI9GqxE8ozVQfk9QwCqrCPEgZXcMudvEoB_MJ8tqOW2PLTKAIeQBnE-1bfzptRc2gR8I8VkBAAAAAfXq-bmxWqOz7B5wKkwjzHGv2R4s7Y0Z76LqXWYNhmz0AAAAAAD-____Av0cAAAAAAAAFgAUl-skmdZDtn7Hnub6mF4HP2uVn7oAAAAAAAAAACJqIPAE4MsOAAgI8CBDmQsbEXc46Hu8DivhCBM1LGExa4TTM-wo7HpoCVjBTQgI8CCty5vkQtPHzzs8xqArOYhVSjgaDoG1ou3cojv5_P7wQQgI8SDQWB0kdXCTwbk-TqTt0QfRMyzDNLOtU1XXFgvGSRlW8wgI8CC2PKa_QCIBZtrXodq1GdEzppISMsMRDOnzr2gFjLKOAAgI8CCwQ_QF67bcFk_uJ2s0VCZmf5PGIjTmTCpt_qnVY5p_8AgI8SAbzyx7z-oxPMju6PvtQhzrJIQyH2ZAc9oyLuYemzbmZQgI8CC5bh7J74uUk91r8LwybHQFCNBC3PWeuwtMCCNFKWj19AgI8SAf4R2TUNPjaX_PWDUImpoITK0JoW89zaMKnD1wlEEi8AgI8SC2vNmdm7eyP5Ytl1yTzT0njliMdALl1ViKG-s3bG2zswgI8CCpbIVNz1GFVXdJk2zd82hBUoNFFemUPBt7IJdWEOciPwgI8CBtYdRQcrtX1FtCm1SxF7sx-5cO04U8KzbJh8fqBkyReAgI8CBHs2LGmX6gI-lV7yp1RrV7_tGfdiBAwnEFF6B6yXHzAQgI8CATotVmbXBMAixhZ-QKy5Q4lR0FusdA_wcIC1TbB7GmxAgIAAWIlg1z1xkBA-KXOw"],"envelope":["AE9wZW5UaW1lc3RhbXBzAABQcm9vZgC_ieLohOiSlAEImg0tUo-dXjYGhjEVQLNjt9CqRfFrvTXiSuwEY8sXq7HwIJo1VtfkYeIOlq75Q28WHrYmYO4aSK56TVtNClGbkHStCPEgJqWdXfa7meS-wvGmam7oEj346sHsUa_oX2wLfHoWov0I8CDCTViGhHbVSPyCOOr52WiKgq35ZL7cs5fV2zTmZ3r5MQjwIBokeGCO11A2wnKgOq4mxEVbnXVlve1-gtMN2F_kUcNkCPAgomuLwOBS9fbprDsYXWM2IyviMVuqGnUDEgk3qqbc1FYI8SB05vhyw_hCO22JIIxmNmaG68KvsGNz_dGwZnUqirM6jAjxIBkWgozvKcZhR9ws_evk4_PLDCcwfnJB4PGYN4NcYPEZCPEgWonRrxVXZ5JmJxbwaBYMc9fEelt51sEr9PpPt8WL7GoI8SAzYkfrMCtnlPZF7RCs0vhySIZDq30HHv5Q-Y2E93F_lgjwIIhzmnVeFxVHRiBmi7SsQd_gIBRvsrzzZf-fzyEkp8wnCPAgy6DmLQtIuWm-zrDRmaSy95vcFWsjvWyppQO7wIWrfC4I8SAQuuTPkAGyvS_wKMy9BtKvnki2puESdY2vXem8hT1uIQjwIBGYo5Vxy-d7U5zKv5vp3Ii7hJPH_BDLCzA13c47p9q7CP_wCHbghVgOFMuNCPAQPZK2lHbTMqcCYUotzOQcmQjwIJ7ruRIs6HnufKxCpmLUgeUl0aUu0ov4_3PqcppS-bddCPEgI530vHzdwz_3o9jYQ3WablSa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