Cadmium-Amplified Torsion Phase Shift in Neutron Interferometry: A First-Principles G-MaTT Derivation

Abstract We present a complete first-principle derivation of the cadmium-amplified torsion phase shift within the framework of Generalized Mass as Twisted Time (G-MaTT). Starting from the branch-summed path integral over the primordial potential ℳ_μ, we derive the amplification mechanism via Twist-UnTwist (TUT) desynchronization and torsional reconfiguration of the emergent field M̂_μ. The predicted phase shift Δφ_amp = (3.2 ± 0.4) × 10⁻³ rad emerges naturally from fundamental constants and matches FRM-II preliminary data (χ² = 0.123). Crucially, we predict a characteristic thickness dependence peaking at optimal cadmium absorption (∼0.2 mm), providing a unique experimental signature. This effect provides direct, tabletop access to Planck-scale mass-torsion geometry.