Golden and Stubborn: The Twin Prime Mechanism from the Golden Ring

The proton's three colour domains — twin prime pairs (5,7), (11,13), (17,19) on S³/2I — each contain two distinct prime characters determined by the golden ring ℤ[φ]. Golden primes (p ≡ ±1 mod 5) split into growth × decay; stubborn primes (p ≡ ±2 mod 5) refuse to split; the genesis prime 5 creates the ring. Each pair deploys both characters differently: RED (genesis + stubborn), GREEN (golden + stubborn), BLUE (stubborn + golden). The Hodge star preserves the cycling direction but swaps which character does which job. The golden angle field function confirms the physics: RED rises through zero (charge +2/3), GREEN stays positive (neutral), BLUE crashes through zero (charge −1/3). The twin prime gap χ = 2 is the minimum bridge between characters. Three pairs fill three orthogonal golden rectangles; no fourth direction exists (D = 3). Position 1 (golden) launches the structure; position 23 (stubborn) seals it. Fibonacci preserves character at every skeleton position (Pisano period); F₁ = 1 and F₅ = 5 are fixed points; F₁₉ = 37 × 113 is the only composite — the release decomposes. λ₁ = 168 = 7 × 24: first stubborn prime times completed skeleton. An interactive three-phase animation is provided in the companion paper (Paper 134).