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 $S^3 \to S^2$ (with $S^1$ fibers), with $B_2$-braided edges and $B_3$-braided vertices; its 5-DOF phase space $Q = R^+ \times S^2 \times S^1_{\rm tan} \times S^1_{\rm Hopf}$ emerges macroscopically as $R^3$ space, spin/helicity, and energy. A single global $Z_2$ 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 $\sin^2\theta_W(Q) = 1/4 - 2/\alpha^{-1}(Q)$ valid for $0 \le Q \le M_Z$. 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 $T_{CMB} \approx 2.725$ K from the substrate's minimal-fluctuation thermal floor.

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-05-23
DOI
https://doi.org/10.5281/zenodo.19743896
Primary Topic
Cosmology and Gravitation Theories
Type
preprint
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preprint

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

C.Y. Hsieh
Zenodo (CERN European Organization for Nuclear Research)
Cosmology and Gravitation Theories
preprint

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

C.Y. Hsieh
preprint en

Abstract

The Holographic Fiber Theory (HFT) substrate is a discrete trivalent cell complex with Hopf-bundle topology $S^3 \to S^2$ (with $S^1$ fibers), with $B_2$-braided edges and $B_3$-braided vertices; its 5-DOF phase space $Q = R^+ \times S^2 \times S^1_{\rm tan} \times S^1_{\rm Hopf}$ emerges macroscopically as $R^3$ space, spin/helicity, and energy. A single global $Z_2$ 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 $\sin^2\theta_W(Q) = 1/4 - 2/\alpha^{-1}(Q)$ valid for $0 \le Q \le M_Z$. 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 $T_{CMB} \approx 2.725$ K from the substrate's minimal-fluctuation thermal floor.

Zenodo (CERN European Organization for Nuclear Research)
Cosmology and Gravitation Theories
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