What question did this study set out to answer?

The research aims to derive the electroweak vacuum expectation value without parameters using G₂ geometry.

April 3, 2026Open Access

Electroweak Scale from G2 Geometry: A Parameter-Free Derivation from the Ahmadov Constraint Theory (ACT)

Key Points

The research aims to derive the electroweak vacuum expectation value without parameters using G₂ geometry.
Utilizes G₂ exceptional group geometry
Applies Ahmadov Constraint Theory (ACT)
Employs dimension counting and coset geometry
Derives electroweak vacuum expectation value (v) of approximately 246 GeV
Achieves 0.05% agreement with observational data
Demonstrates natural emergence of v/M_Pl ratio without fine-tuning

Abstract

Zero-parameter derivation of the electroweak vacuum expectation value v ≈ 246 GeV from G₂ exceptional group geometry in the Ahmadov Constraint Theory (ACT). The Higgs quartic coupling λ = 9/ (22π) and mass parameter μ²/M²Pl = (π/252) ¹8 follow from triality structure, dimension counting, and coset geometry. Achieves 0. 05% agreement with observation using only algebraic factors derived from the single axiom Aut (U) ⊊ Sym (U). Eliminates the hierarchy problem by demonstrating v/MPl ≈ 10^-17 arises naturally from geometric constraint rather than fine-tuning. Related resourcesAdditional preprints, theoretical frameworks, and ongoing work by the author are available at: https: //murad-ahmadov. github. io/

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