Twist Theory RF³

Twist Theory RF³ is a unified geometric physics framework deriving all interactions from a single irrational rotation (the golden-angle quantum). The core axiom is the angle quantum θ_q = 2π/φ² = π(3-√5) ≈ 137.507764°, which drives a 3D hierarchical quasicrystal-like weave (RF³). After homogenization over equidistributed orientations, the IR limit is isotropic Maxwell electromagnetism with two transverse photon modes. Localized matter arises as knot (soliton) defects of the phase–gauge system; action calibration fixes ℏ = S₀/φ² with S₀=h/θ_q. Weak reconfigurations appear as tiny parity-odd chiral terms; the strong sector is modeled by sub-knot binding (Twist-QCD). Gravity enters as an optical metric from slow spatial variation of effective constitutive fields. The framework has one fundamental geometric parameter (θ_q), with effective coupling constants emerging from the homogenization process and fixed by matching to three SI anchors (proton energy, h, and c).