What question did this study set out to answer?

The research aims to uncover the origins of gauge forces and the complete particle spectrum using Seam Topology.

February 19, 2026Open Access

Gauge Forces, Higgs Mechanism, and Particle Spectrum from Seam Topology (Information-Geometric Physics System III)

Key Points

The research aims to uncover the origins of gauge forces and the complete particle spectrum using Seam Topology.
Introduced the concept of Seam Topology in the context of gauge symmetries.
Established correspondence between Standard Model gauge groups and knot configurations in three-dimensional space.
Derived precision constants like the fine-structure constant and weak mixing angle with high accuracy.
Predicted bosonic masses based on geometric principles related to arc lengths.
Explained quark mass differences using topological winding mechanisms on specific knots.
Derived fine-structure constant α⁻¹ ≈ 137.04 and weak mixing angle sin²θ_W ≈ 0.231 with sub-percent accuracy.
Predicted masses of W, Z, and Higgs bosons within 1% of experimental values.
Clarified the quark mass hierarchy through an exponential mechanism on the trefoil seam.
Proposed a 14-layer bosonic structure linked to Dihedral symmetry and highlighted chirality as a source of CP violation.

Abstract

This is the third paper in the Information-Geometric Physics System (IGPS) series. Following the analysis of leptonic mass (Paper I) and baryonic scaling (Paper II), this work extends the framework to address the origin of gauge forces and the full particle spectrum. We introduce the concept of Seam Topology, proposing that gauge symmetries emerge from the holonomies of bundles over the seam moduli space. The study presents a structural correspondence between the Standard Model's gauge groups (U (1) × SU (2) × SU (3) ) and specific knot configurations (Unknot, Figure-8, and Trefoil) in 3D space. Highlights: Precision Constants: Successfully derives the fine-structure constant (α⁻¹ ≈ 137. 04) and the weak mixing angle (sin²θW ≈ 0. 231) with sub-percent precision relative to experimental data. Bosonic Mass Spectrum: Predicts the masses of the W, Z, and Higgs bosons based on geometric arc lengths and stiffness invariants, deviating less than 1% from observed values. Quark Hierarchy: Explains the five-order-of-magnitude mass difference between quarks through an exponential topological winding mechanism on the trefoil seam. Unified Structure: Proposes a 14-layer bosonic architecture derived from Dihedral (D₇) symmetry and identifies the geometric origin of CP violation through knot chirality. This work offers a parameter-sparse alternative to the Standard Model, unifying matter and force under a single geometric paradigm.

Gauge Forces, Higgs Mechanism, and Particle Spectrum from Seam Topology (Information-Geometric Physics System III)

Key Points

Abstract

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