From d78c792fc799d6917be7139a6dfc6db28f096f65 Mon Sep 17 00:00:00 2001 From: Allaun Silverfox <28494262+allaunthefox@users.noreply.github.com> Date: Tue, 26 May 2026 14:36:34 -0500 Subject: [PATCH] wiki: add PIST route-repair receipt update tiddler --- .../PIST Route-Repair and Receipt Update.tid | 104 ++++++++++++++++++ 1 file changed, 104 insertions(+) create mode 100644 6-Documentation/tiddlywiki-local/wiki/tiddlers/PIST Route-Repair and Receipt Update.tid diff --git a/6-Documentation/tiddlywiki-local/wiki/tiddlers/PIST Route-Repair and Receipt Update.tid b/6-Documentation/tiddlywiki-local/wiki/tiddlers/PIST Route-Repair and Receipt Update.tid new file mode 100644 index 00000000..d99017e3 --- /dev/null +++ b/6-Documentation/tiddlywiki-local/wiki/tiddlers/PIST Route-Repair and Receipt Update.tid @@ -0,0 +1,104 @@ +created: 20260526190000000 +modified: 20260526190000000 +tags: ResearchStack Lean PIST RouteRepair Receipts Genus +-title: PIST Route-Repair and Receipt Update +title: PIST Route-Repair and Receipt Update +type: text/vnd.tiddlywiki + +! PIST Route-Repair and Receipt Update + +This card summarizes the 2026-05-26 route-repair and receipt-semantics cleanup. + +!! Current architecture + +The active proof-repair path is: + +``` +failed theorem +-> parsed theorem shape +-> 16D modifier +-> 4D repair axis +-> 3D ranked Lean patch +-> retry +-> receipt +``` + +The important correction is that the base control geometry is genus 0: + +``` +R^16 modifier : contractible +Delta^4 axis : convex / contractible +R^3_+ patch embed : convex / contractible +S^2 shell witness : genus 0 +``` + +Higher-genus signatures belong to residual/stress topology, not to the base repair-control manifold. + +!! Route-repair ladder + +| Version | Role | +|---|---| +| v1.1 | spectral-only repair; degenerate one-step traces collapsed | +| v1.2 | hybrid text fallback baseline | +| v1.3a | PIST-NUVMAP ranking; preserved baseline | +| v1.3b | theorem-shape multi-step templates; proof surgery begins | +| v1.4 | 16D -> 4D -> 3D charted repair manifold | +| v1.4a | residual closure: destructuring, contradiction, invalid-goal detection | + +!! Quaternion receipt correction + +`Semantics.UnitQuaternion` now uses: + +``` +wf_unit : Bool +``` + +as a receipt bit instead of claiming exact Q16.16 unit-norm equality. + +This avoids fake exactness for approximate fixed-point trig, multiplication, SLERP, and placeholder stochastic evolution. + +Updated theorem style: + +``` +identityCarriesUnitWitness +conjugatePreservesWitness +mulWitness +stochasticEvolutionPreservesUnitWitness +sluqQuaternionOptimizationPreservesUnitWitness +``` + +!! Genus-0 visual bridge + +Demo script: + +``` +4-Infrastructure/shim/genus0_sphere_shell_demo.py +``` + +It emits a JSON witness for: + +``` +R^16 -> Delta^4 -> R^3_+ -> S^2 shell witness +``` + +!! Durable doc + +See: + +``` +6-Documentation/docs/lean/PIST_ROUTE_REPAIR_RECEIPT_UPDATE_2026_05_26.md +``` + +!! Keeper phrases + +``` +The base repair manifold is genus 0; genus belongs to residual topology. +``` + +``` +Q16.16 quaternion operations carry unit receipts, not fake exact unit-norm proofs. +``` + +``` +Route repair works when theorem shape generates local proof surgery, not when ranking merely reorders flat tactic guesses. +```