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This document aims to synthesize and structure the results related to the U(1)×SU(2)×SU(3) gauge structure.

April 19, 2026Open Access

Extended Triptych V3 — Consolidated Synthesis: U(1)×SU(2)×SU(3) gauge structure, foundations, algebraic identities and running

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Working document consolidates gauge structure insights in the Standard Model, suggesting structural identities and key results.

This document aims to synthesize and structure the results related to the U(1)×SU(2)×SU(3) gauge structure.
Developed from the master equation (□_g + R/6)ψ + ∂V/∂ψ* = 0.
Utilized minimal coupling and non-abelian Madelung decomposition.
Identified key algebraic and structural identities within the Standard Model.
Established Theorem G focusing on structural protection of G_N.
Algebraically identified sin²θ_W = (2−√2)/4.
Showed tan θ_W = V_min reflects in integers.
Concluded m_Z = m_H = v/2 at the UV fixed point.
Reconstructed the CKM sector with high precision.

Yann Nédélec (2026) studied this question.

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April 19, 2026Open Access

View Full Paper

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Authors

Working document consolidates gauge structure insights in the Standard Model, suggesting structural identities and key results.

This document aims to synthesize and structure the results related to the U(1)×SU(2)×SU(3) gauge structure.
Developed from the master equation (□_g + R/6)ψ + ∂V/∂ψ* = 0.
Utilized minimal coupling and non-abelian Madelung decomposition.
Identified key algebraic and structural identities within the Standard Model.
Established Theorem G focusing on structural protection of G_N.
Algebraically identified sin²θ_W = (2−√2)/4.
Showed tan θ_W = V_min reflects in integers.
Concluded m_Z = m_H = v/2 at the UV fixed point.
Reconstructed the CKM sector with high precision.

Yann Nédélec (2026) studied this question.

View Full Paper

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