What question did this study set out to answer?

The study aims to derive predictions for gauge coupling unification using octonionic corrections within the framework of Ahmadov Constraint Theory.

April 1, 2026Open Access

Octonionic Corrections to Renormalization Group Equations: A Parameter-Free Prediction from the Ahmadov Constraint Theory (ACT)

Key Points

The study aims to derive predictions for gauge coupling unification using octonionic corrections within the framework of Ahmadov Constraint Theory.
Utilizes the Ahmadov Constraint Theory (ACT) based on pure G₂ geometry.
Derives β-function corrections using the constraint axiom A0.
Analyzes gauge coupling unification at M_U = 10¹⁷ GeV without adjustable parameters.
Achieves 99.3-99.96% precision in gauge coupling unification.
Predicts the value of sin²θ_W as 1/4, differing from traditional theories which suggest 3/8.
Finds corrections incompatible with minimal supersymmetry, offering a method for experimental distinction.

Abstract

The Ahmadov Constraint Theory (ACT) derives octonionic corrections to renormalization group equations from pure G₂ geometry. From the constraint axiom A0, octonion non-associativity generates β-function corrections: Δb₁ = -24/7, Δb₂ = +14/5, Δb₃ = 0. These exact rational numbers achieve 99. 3-99. 96% precision for gauge coupling unification at MU = 10¹⁷ GeV with zero adjustable parameters. ACT uniquely predicts sin²θW = 1/4, distinct from traditional grand unified theories (SU (5), SO (10) ) which predict 3/8. Corrections are incompatible with minimal supersymmetry, providing clear experimental distinction. Related resourcesAdditional preprints, theoretical frameworks, and ongoing work by the author are available at: https: //murad-ahmadov. github. io/

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Murad Ahmadov (Mon,) studied this question.

synapsesocial.com/papers/69ccb7c216edfba7beb89d92 https://doi.org/https://doi.org/10.5281/zenodo.19339545

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