What question did this study set out to answer?

This research aims to provide a structural explanation for the Higgs mechanism using geometric concepts.

April 27, 2026Open Access

Geometric Necessity of Spontaneous Symmetry Breaking: Three-Stage Derivation of the Higgs Mechanism

Key Points

This research aims to provide a structural explanation for the Higgs mechanism using geometric concepts.
Derived three stages of the Higgs mechanism: standing wave vacuum structure, symmetry breaking by scale separation, and mass generation by standing-wave coupling.
Utilized properties of the hypercube framework to inform the derivation process.
Established that standing wave vacuum structures lead to symmetry breaking under geometric constraints.
Demonstrated how mass generation occurs through coupling in a standing wave framework.

Abstract

A structural answer to the Higgs mechanism problem posed in the companion paper on 6-dimensional hypercube particle classification (§9.11.7). Three stages — standing wave vacuum structure, symmetry breaking by scale separation, and mass generation by standing-wave coupling — are derived from geometric properties of the hypercube framework.

Geometric Necessity of Spontaneous Symmetry Breaking: Three-Stage Derivation of the Higgs Mechanism

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Abstract

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