{"record":{"author":{"account_ref":null,"orcid":null},"builds_on":[],"content_schema":"pubphys.content.revision/1","content_sha256":"a7eb60772a9cb6e97b08e21fb24fba7f8727fdcd1ef98bfec1dcd2abb204c0b0","created":"2026-10-03T07:18:09Z","files":[],"origin":{"assisted_by":[],"kind":"seed"},"parents":["5475cf5dc5b1a72283d26dc95dc6e00d7ea4e00096a7c6492e409a1816eeb011"],"salt":"3a50eb708b4683ad4aea408ec367f7361a7adab3eb085db533f118b039a0dad6","schema":"pubphys.record/2","site":"pubphys.com","target":null,"type":"revision"},"content":{"answer_type":"identification","assisted_by":[],"external_id":"qft.positive-geometry.gravity-geometry","kind":"well-posed","literature_status":"open","n":"1","parents":[],"plain":"Gravity amplitudes lack the cyclic ordering of particles that the gauge-theory shapes rely on. No shape whose volume-like form gives graviton scattering is known.","posed_since":"","precise":"Find a positive geometry whose canonical form equals tree-level n-graviton amplitudes of Einstein gravity or $N=8$ supergravity in $D = 4$ for all helicity sectors, or the loop integrands of $N=8$ supergravity; or prove that gravity amplitudes cannot be canonical forms in the standard sense.","problem_ref":null,"references":"","settled_by":"An explicit geometry reproducing all tree-level graviton amplitudes, or a proof of impossibility.","status_note":"","title":"Positive geometry for graviton scattering amplitudes","topic_ref":"cd9a4680d5f7ad1dcd63b8f904c4272d3e5ac40ad4be46888c8f43e407804d79"},"attested":{"attestation":{"batch":null,"client_id":null,"id_token_sha256":null,"kind":"platform"},"record_hash":"f65fac82142116d593ff3da452d60796ac3946d977aadd299a5804c92d86474c","schema":"pubphys.attested/1"},"envelope":{"attested_hash":"2f7e1314f85988dc47dcd100e807512b3d3334967d189e4a08f3bce673da1f4c","platform_signature":{"key_id":"c6afc19b31429869751f06879c75cd64ea92654423d15b44be775bf1310a60da","sig":"WCdHZHQ5Uurin6es6mcqnGllB1yGnlKw6VuBFWXKdR2y4lEwjsl6pRT1WgiY2sZ8VQyd0-G-LZiTMjB0CrObAA"},"schema":"pubphys.envelope/1"},"record_hash":"f65fac82142116d593ff3da452d60796ac3946d977aadd299a5804c92d86474c","leaf_index":1936}