Continuity Field Theory: A Unified Framework Resolving the Six Millennium Problems, with the i-Plane Conjecture and Zeta Zero Spectral Analysis on the Mobius Seam

This record contains the primary corpus of the Continuity Field Theory (CFT), developed by Kenneth L. Cooper under Continuity Collective LLC, Pensacola, Florida.The central contribution is a unified theoretical framework in which a single topological and informational principle provides structural resolutions to all six Clay Mathematics Institute Millennium Prize Problems. The framework rests on two postulates: information is conserved across any closed manifold, and every phase transition boundary in an information field carries Mobius topology. From these postulates, Euler's identity reinterpreted as a universal boundary condition yields structural results across computational complexity, fluid dynamics, analytic number theory, gauge theory, algebraic geometry, and arithmetic geometry.The corpus includes three primary physics documents. The Unified Field Theory v7.4.0 constructs the full mathematical architecture: the Unified Field Manifold, the irreducible kernel K = Z2 semidirect U(1), the canonical field equation, the partition function, renormalization group, symmetry group G = PSL(2,R) x O(2), Noether conservation laws, and correlator structure. The i-Plane Conjecture (I.R.I.S., Berkeley V1) treats information as a multi-phase field subject to fluid dynamics and quantum constraints, recharacterizing the imaginary unit as the Imaginative Resolution Operator enabling navigation across phase boundaries where real-space operators diverge. The Zeta Zero spectral analysis (EB:020) demonstrates that GUE-class statistics on the critical line Re(s) = 1/2 are a structural inevitability of kernel induction, connecting the Berry-Keating Hamiltonian, Navier-Stokes smoothness, and the prime counting function to the same algebraic root.All documents carry SHA-512 integrity seals and timestamped provenance chains.DOI (Unified Field Theory v7.4.0): https://doi.org/10.5281/zenodo.19042586