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April 27, 20260 citationsOpen Access

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

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NKNoriaki Kihara

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.

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Cite This Study

Noriaki Kihara (2026) studied this question.

synapsesocial.com/papers/69eefd82fede9185760d43cchttps://doi.org/10.5281/zenodo.19768173
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