What question did this study set out to answer?

This research explores embedding the Standard Model within a discrete shell-filament network, focusing on gauge symmetries and Yukawa couplings.

February 26, 2026Open Access

5 COS-SM - Collapsing-Structure Standard Model: Gauge Symmetry, Fermions, Higgs, and Yukawa Couplings on the Shell-Filament Network

Key Points

This research explores embedding the Standard Model within a discrete shell-filament network, focusing on gauge symmetries and Yukawa couplings.
Employs a discrete shell-filament network with local gauge groups
Addresses gauge anomalies and chirality with Ginsparg–Wilson overlaps
Uses continuum consistency approaches like Γ-convergence
Incorporates confidence-interval protocols for observables
Includes minimal reproducibility guidance for data handling
Establishes a discrete realization of the Standard Model that showcases gauge anomaly cancellation
Demonstrates a consistent description of Higgs physics and Yukawa interactions
Identifies dynamics of open systems within the constructed framework

Abstract

This article embeds the Standard Model in a discrete shell–filament network with local U (1) Y×SU (2) L×SU (3) CU (1) Y SU (2) L SU (3) CU (1) Y×SU (2) L×SU (3) C bundles, a discrete Dirac/Yang–Mills structure, a Higgs sector with SSB, and Yukawa couplings. We emphasize Ginsparg–Wilson/overlap chirality, the faithful discrete realization and cancellation of gauge anomalies, the topological QCD θθ-sector, and gauge-covariant GKSL open-system dynamics. Continuum consistency is addressed via ΓΓ-convergence and a discrete block RG; primary observables come with confidence-interval (CI) protocols. Conventions align with COS-S/QF/QSF/QD. Appendices cover group theory, discrete Dirac/overlap, Higgs–Yukawa formulas, glossary, and the FMS interpretation; minimal reproducibility guidance (RNG seeding, tolerances, data schema) is included.

5 COS-SM - Collapsing-Structure Standard Model: Gauge Symmetry, Fermions, Higgs, and Yukawa Couplings on the Shell-Filament Network

Key Points

Abstract

Cite This Study