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August 1, 2026Open Access

Standard Model Gauge Structure from \ (S^3\) Spectral Geometry: Deriving \ (SU (2) ₁ ×U (1) ₘ ×SU (3) \) from the Dirac Spectrum

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Authors

QZQian Zhao

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Implication

Derives the Standard Model gauge group from spectral geometry in a unified framework, suggesting connections to cosmology.

Key Points

  • To derive the gauge group structure of the Standard Model from a spectral geometric framework without introducing extra gauge symmetries.
  • Utilized the compact S^3 spectral geometric framework established in earlier works.
  • Employed topological spectral geometry principles to connect cosmological geometry with particle physics.
  • Derived the gauge group structure SU(3)_C × SU(2)_L × U(1)_Y intrinsically from spectral geometry.
  • Established a unified geometric origin for cosmic evolution and fundamental interactions.

Cite This Study

Qian Zhao (2026) studied this question.

synapsesocial.com/papers/6a6d9874e258b358b3c6be46https://doi.org/10.5281/zenodo.21698634
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Also Consider

Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context:

  1. 1Paper X: Standard Model Gauge Symmetries and the Master Lagrangian as Geometric Necessities of an Isoclonically Rotating S3 Hypersurface2026
  2. 2Three Generations from the Geometry of S3 x S62026
  3. 3Entangled Origins of SU(3) x SU(2) x U(1): Emergence of Gauge Symmetries in the Standard Model2024
  4. 4Gauge Structure of the Standard Model from Torsion Phase Geometry2026
  5. 5SPECTRAL GEOMETRY OF THE STANDARD MODEL ALGEBRA: TRACE STRUCTURES AND GAUGE UNIFICATION2026