Paper IV: From Real to Complex: The Holographic Double-Helix, Standard Model Structure, and Closure of the Geometric Framework

The final paper of the series analytically continues the real-axis holographic coefficient into the complex plane, establishing an asynchronous orthogonal double-helix model. This geometric extension maps the macroscopic fixed point to the microscopic domain without introducing new free parameters. Through stability inversion across a four-quadrant coherence landscape, the framework predicts the W⁻/Z⁰ mass ratio and establishes algebraic consistency with the cosmic microwave background temperature.