The Covariant Master Yielding Equation: Dynamical Dimensional Reduction and the Topology of Singularity

We present a fully covariant, tensor-based Master Yielding Equation that unifies general relativity (G_) and quantum field theory (T_) to govern the geometric collapse of macroscopic wave functions. By synthesizing gravitational curvature stress with all four fundamental interactions through their respective energy-momentum tensors, this framework resolves the non-relativistic and phenomenological limitations of preceding macroscopic collapse models. Through rigorous perturbative expansions across macroscopic, subatomic, and relativistic velocity regimes, the master equation dynamically maps scaling laws of yielding limits. In extreme limits, it autogenically dictates its own universal event horizons based on Reissner-Nordström geometry (q 0) purely through geometric yielding conditions. Crucially, at the singularity, the equilibrium between exact quantum expansion pressure (3^1/4 factor) and strong-field curvature enables a deterministic derivation of the Loop Quantum Gravity (LQG) Barbero-Immirzi parameter (= 3/C^2/3), bypassing the inherent logical circularity of relying on black hole entropy. The framework proves dynamical dimensional reduction to a 2D worldsheet and reveals the true face of the singularity not as a 0D point, but as a "Quantum Superposition Ensemble of Highly Excited Multi-valent Intertwiners" primarily consisting of 7- and 8-valent nodes entangled with high-energy spins (C 19. 7). These results establish a mathematically flawless synchronization between macroscopic collapse dynamics and microscopic quantum gravity topology.