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Aeon Waves

String Theory Correspondence runtime for the Gnosis formal surface.

Programs are strings. Crossings are tangles. Beta1 is worldsheet genus. Module boundaries are D-branes.

From Lean to TypeScript

This package bridges StringTheoryCorrespondence.lean theorems to executable runtime:

  • StringStateAlgorithmicKnot (isomorphism)
  • Worldsheet genus = program loop count (beta1)
  • PairOfPants = fork/fold (composeKnots)
  • GaugeEquivalence = Reidemeister moves (behavior-preserving transforms)
  • Vacuum = unknot = correct program
  • DBrane = type boundary (Dirichlet condition on function endpoints)
  • Compactification = abstraction (hidden internal dimensions)
  • Holography = void boundary sufficient statistic (AdS/CFT)
  • TDuality = FoldedKnot ≅ defenseWeight (R ↔ 1/R)

Theorem Surface

See open-source/gnosis/lean/Lean/ForkRaceFoldTheorems/StringTheoryCorrespondence.lean

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MIT

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