Unified Geometrization of Standard Model Parameters: A Holographic Fiber Theory (HFT) Framework

Holographic Fiber Theory (HFT) is a parameter-free topological derivation of the Standard Model's free constants and the leading dark-sector ratios from a single substrate --- the Hopf bundle S³S¹S² realised as two-strand framed fibers carrying a trivalent weaving rule on its S² base with B₃ vertex braiding. A single global Z₂ symmetry-breaking event --- the chirality lock --- converts the loose pre-EWSB substrate into the post-EWSB vacuum V. The locked mesh's topology forward-derives three geometric coupling constants: ²W = 30/128, ^-1 = 137, and the vacuum angle ᵥ = 1/32. The first two fix the dark-to-baryonic ratio via writhon excitations crystallised at EWSB, giving c/b 5. 35. The vacuum angle ᵥ enters as a geometric pre-stress correction in the Higgs vev calculation, with the downstream SM mass cascade inheriting this ᵥ dependence. HFT predicts MZ = 91. 14~GeV and Mₚ = 937. 7~MeV, matching observation to 0. 05\% and 0. 06\% respectively; Table 1 lists the leading-order results across the spectrum.