Framework
The ASH Framework
Hypercube geometry, supersymmetric codes, and modal logic unified
9D Binary Hypercube
512 vertices of F29 organized into 10 Hamming weight planes. Each vertex is a cosmological realm.
XOR Transformations
Navigation via XOR with doubly-even codewords. The averaging operator T is proven idempotent.
Adinkra Error Correction
Doubly-even self-dual codes enforce structural stability and noise resilience up to the Hamming bound.
Modal Realm Network
Kripke-frame semantics mapping 512 possible worlds with XOR-defined accessibility relations.
Mathematical Core
H₉ = ({0,1}⁹, E) | T f(x) = (1/|C|) Σ f(x ⊕ c) | T² = T