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This work aims to establish connections between eigenmode ratios in quantum systems and the structure of the Standard Model.

April 10, 2026Open Access

Eigenmode Ratios of the Minimal Quantum State Space and the Standard Model

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Analysis of eigenmodes reveals connections between quantum states and fundamental gauge groups, suggesting new theoretical insights.

This work aims to establish connections between eigenmode ratios in quantum systems and the structure of the Standard Model.
Analysis of eigenmode spectra of S² and S³ using mathematical theorems.
Derivation of gauge group structures from eigenmode degeneracies.
Assessment of relationships between algebraic and geometric structures in quantum mechanics.
Eigenmode ratios yield the Standard Model gauge group SU(3) × SU(2) × U(1) and gauge bosons.
Derived Weinberg angle sin²θ_W = 3/8 and solar neutrino mixing angle sin²θ₁₂ = 4/13.
Chirality and fermion content correspond to the SU(5) grand unification structure.

Fabin Rasheed (2026) studied this question.

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