Calabi–Yau Holonomy and the Primordial Potential in G-MaTT: A Geometric Foundation for 3D Space Emergence and Coherence Stability

Abstract We propose that the primordial potential \(\mathcal{M}_\mu\) in Generalized Mass as Twisted Time (G-MaTT) can be formally characterized as having Calabi–Yau-like holonomy in its phase space. The 2025 proof of the three-dimensional Kakeya conjecture (Wang & Zahl) and the known properties of Calabi–Yau manifolds (Yau, 1978) provide a rigorous mathematical justification for why emergent space in G-MaTT is exactly three-dimensional and why the braid group \(\mathcal{B}_3\) admits precisely three stable generations. We show that SU(3)-holonomy structure on the compactified phase manifold of \(\mathcal{M}_\mu\) ensures Ricci-flatness in equilibrium, bounding the coherence margin α⁻¹ = 137.035999206 and enabling reversible desynchronization. This connection elevates G-MaTT from an intuitive geometric framework to one grounded in established differential geometry, with implications for torsion stability, black hole horizons, and cosmic void statistics.