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

The Holographic Fiber Theory (HFT) substrate is a discrete trivalent cell complex with Hopf-bundle topology $S^3 \xrightarrow{S^1} S^2$, with $B_2$-braided edges and $B_3$-braided vertices; its 5-DOF phase space $\mathcal{Q} = \mathbb{R}^+ \times S^2 \times S^1_{\rm tan} \times S^1_{\rm Hopf}$ emerges macroscopically as $\mathbb{R}^3$ space, spin/helicity, and energy. A single global $\mathbb{Z}_2$ symmetry-breaking event -- the chirality lock -- fixes the handedness of every $B_2$ framing, converting the parity-symmetric substrate into the chirality-locked substrate.

The locked mesh's topology forward-derives two electroweak coupling constants $\sin^2\theta_W = 30/128$ and $\alpha^{-1} = 137$, tied by a closed-form relation $\sin^2\theta_W(\mu) = 1/4 - 2/\alpha^{-1}(\mu)$ valid for $0 \le \mu \le M_Z$.

Based on these coupling constants, the same topology forward-derives the lightest Majorana neutrino mass $m_{\nu_1} \approx 1.8$ meV as a sharp falsifiable target, and the CMB temperature $T_{\rm CMB} \approx 2.725$ K from the thermal scale $T_{\rm BASE}$ of the substrate's tension floor. The floor carries an irreducible cyclic fluctuation that provides sub-leading dressing, sharpening the coupling constants to $\alpha^{-1} \approx 137.036\,000$ (8 ppb) and $\sin^2\theta_W \approx 0.238\,56$ (5 ppm).