The Crystal Codex
Crystals, liquid crystals, active nematics and quasicrystals — periodic parents that predict allowed waves, defect-interaction atoms, Frank elasticity, hidden-parent selectors and fracton-elasticity tensor gauge.
Where a paper argues one claim, an atlas maps a territory. Each of these is a systematic reference: the objects, their invariants, the relations between them, and the boundaries where the structure stops — built from the same reproducible pipeline as the papers, with every entry traceable to the computation that produced it.
One decomposition method applied across QEC entropy, holographic capacity, Harsanyi dividends, percolation, causal sets, information synergy, genetic epistasis, alloy cluster expansion and reliability networks.
Crystals, liquid crystals, active nematics and quasicrystals — periodic parents that predict allowed waves, defect-interaction atoms, Frank elasticity, hidden-parent selectors and fracton-elasticity tensor gauge.
The carrier–capacity correspondence: exact algebraic identities, the coordination ladder, SLE/CFT sockets, an exact finite FK/Tutte carrier test, and a claim ledger with an independent verifier.
Tensor and biological solver families as one compendium, built on a technique reference for satisfiability. Method-level throughout; production implementations are not included.