{"compile":"2026-10-10","canonical":"https://aaronspradlin.grok.me/wiki/supported-four","json":"https://aaronspradlin.grok.me/page.json?slug=supported-four","license":"Source-available for noncommercial research and evaluation only. No commercial, product, platform, or service use without written permission.","scientific_breakthrough":false,"slug":"supported-four","title":"Supported four","dek":"The only Supported harnesses, one screen. Not Einstein. Everything else is a different badge.","updated":"2026-09-12","status":"core","claim":null,"tags":["supported","ledger","skeptic"],"related":["claim-ledger","falsification","proofs-and-simulations","retained-atlas","accessibility-curvature","holonomy","uqcf-gem","start-here","for-researchers","predictions","september-2026-ladder"],"packages":[{"id":"einstein-12-v1698-valid-only-slow-atlas-closure-mp4-package","name":"Einstein_12_V1698_valid_only_slow_atlas_closure_mp4_package","path":"Tmp/TOE/Einstein_12_V1698_valid_only_slow_atlas_closure_mp4_package","status":"supported"},{"id":"einstein-phase-1","name":"Einstein Phase 1","path":"Tmp/TOE/Einstein Phase 1","status":"supported"},{"id":"uqcf-w-holonomy-replication","name":"uqcf_w_holonomy_replication","path":"Tmp/TOE/uqcf_w_holonomy_replication","status":"supported"},{"id":"uqcf-codazzi-proof","name":"uqcf_codazzi_proof","path":"Tmp/TOE/uqcf_codazzi_proof","status":"supported"}],"notes":[{"id":"v1698-2026-06-09","title":"V1698 global atlas closure","date":"2026-06-09","xUrl":"https://x.com/aaronspradlin/status/2064485348433179128"},{"id":"v824-2026-05-20","title":"V824 accessibility-curvature law locked","date":"2026-05-20","xUrl":"https://x.com/aaronspradlin/status/2057148853426794507"},{"id":"holonomy-2026-08-02","title":"O(3) holonomy from pair marginals","date":"2026-08-02","xUrl":"https://x.com/aaronspradlin/status/2084012674065809622"},{"id":"genericity-2026-08-01","title":"Codazzi genericity theorem complete","date":"2026-08-01","xUrl":"https://x.com/aaronspradlin/status/2083648015144018326"}],"claims":[{"status":"supported","text":"V1698 retained global atlas closure: inverse, triple-overlap cocycle, and holonomy residuals at ~3.27×10⁻¹⁶ on a five-chart ledger, with source/support/order admissibility and nulls that break one layer while preserving the other.","noteId":"v1698-2026-06-09"},{"status":"supported","text":"Accessibility-curvature law (V824): G_proxy = 2α Δ log(A+ε) with A = exp(C − μ + η repair). Held-out R² ~ 0.88; adversarial nulls collapse. Scalar / conformal sector only.","noteId":"v824-2026-05-20"},{"status":"supported","text":"W-state pair-marginal BKM polar loop: every pure generalized W state with abc ≠ 0 has lossless reflection spectrum {−1, +1, +1}. Finite quantum-information result.","noteId":"holonomy-2026-08-02"},{"status":"supported","text":"Three-binary-node UQCF-GEM Codazzi harness: unbiased point has zero Codazzi defect; weak-coupling susceptibility is full rank with Ξ(J) = J² [[0,1],[−1,0]] + O(J³). Same-day Aaron post promotes it to a real-analytic genericity theorem: potential-response locus has empty interior and measure zero; unbiased zero is locally isolated. @grok verified the harness and the closed-form susceptibility A(J), B(J). Finite exponential family only. Not gravity, not all graphs.","noteId":"genericity-2026-08-01"}],"text":"Four named harnesses currently carry the Supported badge. This page is membership only. The full ledger, Restricted identities, Open derivation targets, and Corrected walk-backs live on the claim ledger. A green residual is not Einstein.\n\nDo not file a Supported discrete or scalar harness as a gravity theorem or as Einstein’s equations. v12.41 moment-map closure is Restricted, not this list. Gravity’s constraints have not been identified.\n\nLiterature objects on this page: BKM (Bogoliubov–Kubo–Mori), Codazzi–Mainardi, KKS. Program laws (internal names, not standard theorems): Genesis Pin, QRSL, HCPR, QMAR, g★. Do not treat QRSL as if it were in Amari.\n\nRun these four first\n\nDo not read the X thread before the script. A PASS is not Einstein. Independent AI check uses this table, not the result thread.\n\nThe four harnesses\n\nV1698 retained global atlas closure: inverse, triple-overlap cocycle, and holonomy residuals at ~3.27×10⁻¹⁶ on a five-chart ledger, with source/support/order admissibility and nulls that break one layer while preserving the other.\n\nAccessibility-curvature law (V824): G_proxy = 2α Δ log(A+ε) with A = exp(C − μ + η repair). Held-out R² ~ 0.88; adversarial nulls collapse. Scalar / conformal sector only.\n\nW-state pair-marginal BKM polar loop: every pure generalized W state with abc ≠ 0 has lossless reflection spectrum {−1, +1, +1}. Finite quantum-information result.\n\nThree-binary-node UQCF-GEM Codazzi harness: unbiased point has zero Codazzi defect; weak-coupling susceptibility is full rank with Ξ(J) = J² [[0,1],[−1,0]] + O(J³). Same-day Aaron post promotes it to a real-analytic genericity theorem: potential-response locus has empty interior and measure zero; unbiased zero is locally isolated. @grok verified the harness and the closed-form susceptibility A(J), B(J). Finite exponential family only. Not gravity, not all graphs.\n\nRefusals already on the ledger\n\nDo not file a Supported discrete/scalar harness as a gravity theorem or as Einstein’s equations.\nDo not file DESI DR2’s 2.8–4.2σ evolving-dark-energy preference as a no-dark-matter confirmation. DESI still uses CDM.\nDo not treat ε* ≈ 4.97×10⁻⁵, the 3 Mar 2025 TOE announcement, or the 5 May 2026 complete-cosmology sentence as 2026 supported results.\nDo not collapse V1688 “directed native holonomy” back onto a holonomy claim. Corrected: directed transport.\nDo not file v12.41 moment-map closure as derived gravity, ADM, or Einstein equations. Δ_closure = 0 is a qubit KKS identity. Gravity’s constraints have not been identified.\nDo not mint a gravity page for the September 2026 v13–v14 ladder. QRSL, HCPR, QMAR, RSCL, RGCL are Restricted. v14.04 is an intertwiner stop. Pillar 3 stays Open. Queue is a representation principle, not v13.24.\n\nFull ledger\nFalsification\nRun proofs\nRetained atlas (V1698)\nAccessibility curvature (V824)\nHolonomy (W-state BKM)\nUQCF-GEM (Codazzi)\nLive campaign board","howToCite":"Spradlin, A. (2026-10-10). Supported four. Retained Atlas. https://aaronspradlin.grok.me/wiki/supported-four. Keep claim badge: see page."}