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104 lines
2.3 KiB
Text
104 lines
2.3 KiB
Text
created: 20260526190000000
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modified: 20260526190000000
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tags: ResearchStack Lean PIST RouteRepair Receipts Genus
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-title: PIST Route-Repair and Receipt Update
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title: PIST Route-Repair and Receipt Update
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type: text/vnd.tiddlywiki
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! PIST Route-Repair and Receipt Update
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This card summarizes the 2026-05-26 route-repair and receipt-semantics cleanup.
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!! Current architecture
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The active proof-repair path is:
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```
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failed theorem
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-> parsed theorem shape
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-> 16D modifier
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-> 4D repair axis
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-> 3D ranked Lean patch
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-> retry
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-> receipt
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```
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The important correction is that the base control geometry is genus 0:
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```
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R^16 modifier : contractible
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Delta^4 axis : convex / contractible
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R^3_+ patch embed : convex / contractible
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S^2 shell witness : genus 0
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```
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Higher-genus signatures belong to residual/stress topology, not to the base repair-control manifold.
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!! Route-repair ladder
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| Version | Role |
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|---|---|
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| v1.1 | spectral-only repair; degenerate one-step traces collapsed |
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| v1.2 | hybrid text fallback baseline |
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| v1.3a | PIST-NUVMAP ranking; preserved baseline |
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| v1.3b | theorem-shape multi-step templates; proof surgery begins |
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| v1.4 | 16D -> 4D -> 3D charted repair manifold |
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| v1.4a | residual closure: destructuring, contradiction, invalid-goal detection |
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!! Quaternion receipt correction
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`Semantics.UnitQuaternion` now uses:
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```
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wf_unit : Bool
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```
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as a receipt bit instead of claiming exact Q16.16 unit-norm equality.
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This avoids fake exactness for approximate fixed-point trig, multiplication, SLERP, and placeholder stochastic evolution.
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Updated theorem style:
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```
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identityCarriesUnitWitness
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conjugatePreservesWitness
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mulWitness
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stochasticEvolutionPreservesUnitWitness
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sluqQuaternionOptimizationPreservesUnitWitness
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```
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!! Genus-0 visual bridge
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Demo script:
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```
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4-Infrastructure/shim/genus0_sphere_shell_demo.py
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```
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It emits a JSON witness for:
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```
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R^16 -> Delta^4 -> R^3_+ -> S^2 shell witness
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```
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!! Durable doc
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See:
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```
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6-Documentation/docs/lean/PIST_ROUTE_REPAIR_RECEIPT_UPDATE_2026_05_26.md
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```
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!! Keeper phrases
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```
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The base repair manifold is genus 0; genus belongs to residual topology.
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```
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```
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Q16.16 quaternion operations carry unit receipts, not fake exact unit-norm proofs.
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```
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```
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Route repair works when theorem shape generates local proof surgery, not when ranking merely reorders flat tactic guesses.
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```
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