{"compile":"2026-10-10","canonical":"https://aaronspradlin.grok.me/wiki/quadratic-rg","json":"https://aaronspradlin.grok.me/page.json?slug=quadratic-rg","license":"Source-available for noncommercial research and evaluation only. No commercial, product, platform, or service use without written permission.","scientific_breakthrough":false,"slug":"quadratic-rg","title":"Quadratic RG core","dek":"3–5 Apr 2026: σ*≈0.7333, γ≈0.2667, Planck modest positive, DESI frozen operator null. Off the Hubble footnote. Open scaffold, not claimed as a tension resolution.","updated":"2026-09-07","status":"open","claim":"open","tags":["RG","DESI","Planck","D_f"],"related":["predictions","hubble-tension","package-17","uqcf-gem","claim-ledger","x-notebook","falsification"],"packages":[{"id":"package17-bundle","name":"package17_bundle","path":"Tmp/TOE/package17_bundle","status":"open"}],"notes":[{"id":"rg-quadratic-2026-04-04","title":"Quadratic RG core: σ* ≈ 0.7333, DESI frozen operator null","date":"2026-04-04","xUrl":"https://x.com/aaronspradlin/status/2040227577827332169"},{"id":"coherence-history-2026-04-05","title":"Redshift as a measure of coherence history","date":"2026-04-05","xUrl":"https://x.com/aaronspradlin/status/2040597348192231905"},{"id":"h0dn-2026-04-13","title":"H0DN Hubble tension as a UQCF-GEM proxy","date":"2026-04-13","xUrl":"https://x.com/aaronspradlin/status/2043692607961010542"}],"claims":[{"status":"not-claimed","text":"The 5 Apr “coherence history” sentence is a method line from the same sprint as the freeze. It is not a DESI posterior and not a Hubble-tension resolution. The freeze itself (Planck modest+, DESI frozen-operator null) is the 4 Apr timeline event.","noteId":"coherence-history-2026-04-05"},{"status":"open","text":"Quadratic RG core is a derivation scaffold with a named remaining gap. DESI null on the frozen operator is recorded. Not a Hubble-tension resolution and not Package 17 closure.","noteId":"rg-quadratic-2026-04-04"},{"status":"not-claimed","text":"Hubble tension is not resolved by this sprint, the 27 Mar D_f sim, or the 13 Apr H0DN proxy.","noteId":"h0dn-2026-04-13"}],"text":"A three-day Grok-loop sprint between the 27 Mar D_f sim and the 13 Apr H0DN proxy. It solved a coefficient-eliminated fixed-point instead of targeting D_f = 2.7387 first. This article takes it off the Hubble-tension footnote. It is not a Hubble-tension resolution and not Package 17 closure.\n\n\\mathcal{C}(\\sigma)(2-\\sigma)=K_{\\mathrm{ent}}(\\sigma)^2\\sigma\n\n\\sigma_*\\approx 0.7333,\\quad \\eta_*\\approx 0.7563,\\quad D_f\\approx 2.7333,\\quad \\gamma\\approx 0.2667\n\nThe quadratic RG phase now looks closed at current truncation. … Next phase is now explicit: add the minimal interaction and project the self-energy.\n\nEmpirical note from the same sprint: a frozen solved core was competitive with a damping-only Planck layer (aggressive reduced χ² ≈ 1.45; conservative ≈ 2.13). On a cleaner DESI observable-map reconstruction the frozen source+propagation operator stayed null / weak; a shared transient could help Planck and was rejected by DESI. The 30 Apr w(z) sketch and the 4 May Quintom thread reuse χ ≈ 0.2667 — this γ. Later 2026 packets freeze γ = 0.2613 = 3 − 2.7387, not 0.2667. Remaining gap named in-thread: microscopic amplitude / ρ=B identification.\n\nIn UQCF-GEM, redshift is not just expansion. It behaves more like a measure of coherence history.\n\nThe 5 Apr “coherence history” sentence is a method line from the same sprint as the freeze. It is not a DESI posterior and not a Hubble-tension resolution. The freeze itself (Planck modest+, DESI frozen-operator null) is the 4 Apr timeline event.\n\nQuadratic RG core is a derivation scaffold with a named remaining gap. DESI null on the frozen operator is recorded. Not a Hubble-tension resolution and not Package 17 closure.\n\nHubble tension is not resolved by this sprint, the 27 Mar D_f sim, or the 13 Apr H0DN proxy.\n\nQuadratic RG closeout (4 Apr)\nPlanck modest+ / DESI frozen-operator null (5 Apr)\nCoherence-history sentence (5 Apr)\nHubble tension (2025–2026 shelf)\nPackage 17","howToCite":"Spradlin, A. (2026-10-10). Quadratic RG core. Retained Atlas. https://aaronspradlin.grok.me/wiki/quadratic-rg. Keep claim badge: open."}