Axiom 2.1 (Topological Understanding):

Comprehension is a continuous deformation φ: M₁ → M₂ between mental models. Complete understanding occurs when φ is a homeomorphism.

Theorem 3.1 (P=NP Allegory):

The computational complexity dichotomy maps to cognitive operations:

P ↔ Verification, pattern recognition

NP ↔ Creative generation, insight Collapse ↔ Epiphany (when verification and creation coincide)