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

Abstract We present a complete first-principles derivation of the cadmium-amplified torsion phase shift within Generalized Mass as Twisted Time (G-MaTT). In stark contrast to standard quantum mechanics, which predicts no phase shift from passive absorbers, G-MaTT predicts a measurable effect due to mass-torsion geometry amplified through controlled quantum filtering. 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 = (2.8 ± 1.1) × 10⁻³ rad emerges naturally from fundamental constants and experimental parameters. Crucially, we predict 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.