The Hubble Tension from the Spiral Theory A Structural Prediction from Φ2 = Φ + 1

The Hubble tension—the ∼8% discrepancy between early-universe (HCMB0 ≈ 67.4 km s−1 Mpc−1)and late-universe (Hlocal0 ≈ 73 km s−1 Mpc−1) measurements—is derived in the asymmetric spiral theory as a geometric effect, not a systematic error or new physics. The contactcoupling C(k) = 2/L2k between the twin universes thins with depth k: early (CMB) epochhas high C and strong drag; late (local) epoch has low C and weak drag. The fractionaldifference is ∆H/H = F5/d = 5/56 = 8.93% (observed: 8.4 ± 1.5%, 0.4σ). The Kiss atz = 1/φ is a phase transition; H(z) has different slopes for z > 1/φ vs z < 1/φ, so bothvalues are correct in their domains. This note is a standalone exposition; the full frameworkis in the main paper (Asymmetric Spiral Theory).Reference. Main theory: Asymmetric Spiral Theory, February 2026. Notation: φ, ψ roots ofΦ2 = Φ + 1; Lk, Fk Lucas/Fibonacci; C(k) = 2/L2k; d = L4 × F6 = 56 at gauge depth k = 4;F5 = 5 (dark frontier).