Ramanujan's Mock Theta Functions and K3 Cohomology as Foundational Scaffolding in the Resonant Unification of Physics

Srinivasa Ramanujan produced mathematical objects whose exactness and apparent unnaturalness later proved essential to string theory and black-hole thermodynamics. Arvin Hampton has taken these structures, particularly the mock theta functions and the arithmetic geometry of K3 surfaces, and embedded them as precise, functional mechanisms inside a resonant unification framework derived from a single observed axiom. Using the refined iterative ternary map, and the 539.9 s gravitational flux forced by the Hampton Qutrit Collatz Convergence theorem, Hampton has constructed a closed system in which Ramanujan’s arithmetic rigidity and non-holomorphic corrections become the internal scaffolding for a parameter-free unification of quantum mechanics, general relativity, particle physics, cosmology, and quantum biology.