hodge-theory

Deriving the Standard Model from a single finite geometry with zero free parameters

Convergence-theoretic reformulation of the Hodge Conjecture for K3 surfaces, with flow-based projection methods, numerical experiments, and symbolic generalizations to abelian varieties and Calabi–Yau threefolds.

Hodge decomposition of multi-agent disagreements: gradient (resolvable) + curl (cyclic) + harmonic (irreconcilable). Predicts which disputes will resolve

Byte-exact theorems on the Fermat quartic fourfold lattice — from a run at the unbeaten dimension-128 sphere-packing record. Keystone: the Bridge Theorem (Hodge norm = geometric intersection form).