christopher-crocker

A kernel-invariant theoretical framework that posits a single idempotent projection operator K₀ as the structural seed unifying physical, biological, and cognitive phenomena across five hierarchical layers, presented as a five-module publication series (M1–M5) with formal definitions, theorems, a master equations registry, and simulation specifications. The work claims 22 proved theorems and 13 falsifiable cross-layer predictions, including a π-Closure Theorem, a derived emergence of the golden ratio φ in biological replication, and a formal Sovereignty Condition for cognitive autonomy.