String Theory Correspondence runtime for the Gnosis formal surface.
Programs are strings. Crossings are tangles. Beta1 is worldsheet genus. Module boundaries are D-branes.
This package bridges StringTheoryCorrespondence.lean theorems to executable runtime:
StringState≅AlgorithmicKnot(isomorphism)Worldsheetgenus = program loop count (beta1)PairOfPants= fork/fold (composeKnots)GaugeEquivalence= Reidemeister moves (behavior-preserving transforms)Vacuum= unknot = correct programDBrane= 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)
See open-source/gnosis/lean/Lean/ForkRaceFoldTheorems/StringTheoryCorrespondence.lean
MIT