GIFT 3.2 - Supplement S3: Dynamics and Scale Bridge

The GIFT framework's dimensionless predictions (S2) require dynamical completion to connect with absolute physical scales. Joyce's theorem guarantees a torsion-free G₂ metric exists on K₇. This supplement explores how departures from this torsion-free base (through moduli variation or quantum corrections) could generate the small effective torsion that enables physical interactions. This supplement provides three essential bridges: 1. Torsional dynamics: How departures from the torsion-free base could generate physical interactions. The topological value κ_T = 1/61 represents the geometric "capacity" for torsion. 2. Scale bridge: The formula m_e = M_Pl × exp(-(H* - L₈ - ln(φ))) derives the electron mass from Planck scale with