{ "original_attachment": { "filename": "Wklejony tekst(20261005-155057).txt", "sha256": "847d7923d2cbc696c370792d6f5154f01ae93e1e322828e5d5ab8283160ef1bc", "redistributed": false, "use": "phase/Hessian motivation, with pure-phase curvature correction" }, "user_research_used": [ { "title": "Selective Naturality Geometry v3", "sections": "10.2, Theorem 10.6", "use": "kernel projection and residual conditioning" }, { "title": "Certificate-Flat Contact Geometry v1.0.0", "sections": "6-7", "use": "affine repairability and range restrictions" }, { "title": "Mobility-Resonance Geometry of Singular Contact Quivers v4", "sections": "main rank/kernel construction", "use": "motivation; specialized to gain graphs" }, { "title": "Spatial compatibility technical supplement v3.0.0", "sections": "cross-domain transfer audit", "use": "actual gradient realization boundary" }, { "title": "Self-Light-Illuminata v1.0", "sections": "finite phase/free lattice distinction", "use": "audit of real versus integer gauge" } ], "independent_validation_of_user_manuscripts": false, "new_proofs_self_contained": true, "external_sources": "See paper bibliography and docs/PRIOR_ART.md" }