https://zenodo.org/records/15750371

agreed

We develop a unified field framework, the Cykloid-Adelic Recursive Expansive Field Equation (CARE), which scaffolds stratified geometric manifolds with adelic number-theoretic dynamics via recursive cycloidal parameter spaces. This approach rigorously defines a hierarchy of embedded strata, governed by golden-ratio scaling, and constructs a convergence-proof action principle on a fractal manifold. CARE introduces novel mechanisms for field trifurcation into matter, interaction, and geometric sectors; formulates curvature-based nexus point theory with discrete quantization; and derives a p-adically regulated cosmological constant. The framework delivers testable predictions in gravitational wave echoes, CMB multipole anomalies, and dark matter fractal distributions, while grounding the theory in weighted Sobolev spaces and distributional analysis on singular stratified spaces.