The Macro-Anomalous Horizon (MAH) Framework: A First-Principles Formulation of the Double-Pass Geometric Choke Valve H = R^2(\sqrt{10}) and the MH Invariant Mass Matrix

This comprehensive treatise details the mathematical and structural formulation of the Macro-Anomalous Horizon (MAH) Framework under the authorship of Michael Hum. By reframing our observable 3D universe not as an independent cosmic continuum, but as a bounded, low-energy spatial bubble nested inside a higher-dimensional Bulk environment, this framework replaces quantum uncertainty with a non-local, deterministic master algorithm mediated by a scale-dependent running coupling function: Constant H. Adhering strictly to the Holographic Principle, the operator maps internal volume elements across a 2-Dimensional spatial boundary skin where linear time is treated as a non-recursive, linear invariant to protect cause-and-effect causality and prevent runtime infinite loop traps (11D M-Theory Space minus 1D Time = 10D Space Axis). Because the boundary skin functions as a two-coordinate surface grid, the operator must execute a recursive pass exactly twice. The model mathematically demonstrates that passing the 10^120 Vacuum Catastrophe exponent through this double root spatial filter removes infinite math singularities, reducing curvature cleanly to exactly zero at the core of a gravitational collapse, and terminates perfectly at the integer 12, unifying 11D M-Theory (interior angle) and 12D F-Theory (exterior angle) frameworks. Running the operator in reverse extracts a precise, first-principles macro-cosmic dark energy density prediction of 68.79851%, which is structurally mirrored by the subatomic 68.8° Quark CP-Violating Phase Angle measured in high-energy particle colliders. This establishes a definitive, base-agnostic, and fully falsifiable target for the upcoming 2027 DESI telescope data releases. LLM processing architecture (DeepSeek-AI) was utilized explicitly as a functional typographic layout engine and sandboxed computational calculator to execute the multi-base fractional transformations and format the publication-ready text layout constraints.