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 $S^3\xrightarrow{S^1}S^2$ realised as two-strand framed fibers discretized as a trivalent mesh on its $S^2$ base with $B_3$ vertex braiding. A single global $\mathbb{Z}_2$ symmetry-breaking event --- the chirality lock --- converts the loose pre-EWSB substrate into the post-EWSB vacuum $\mathcal{V}$ (identified with the Higgs vacuum), forward-deriving the two dimensionless couplings $\sin^2\theta_W = 30/128$ and $\alpha^{-1} = 137$ from the topology of the locked mesh.

Mass in this picture is read as the elastic potential energy of strand deformations concentrated on the chirality-locked mesh. The post-lock topological action budget $S_E$ partitions across the visible-matter mass channel, the chirality residue $\delta S_E$ of $\mathcal{V}$ (driving baryogenesis), and dark-matter writhon excitations (giving $\Omega_c/\Omega_b \approx 5.35$).

Table 1 lists the leading-order parameters derived from this topology --- $M_{W,Z,H,t}$, $\Lambda_{\rm QCD}$, charged-lepton and Majorana-neutrino masses, and CKM/PMNS mixings --- with residual errors converging to the percent level against observation.