What question did this study set out to answer?

To explain how the GTE polynomial framework addresses the hierarchy problem related to Higgs mass.

June 15, 2026Open Access

The Hierarchy Problem Dissolved: Deriving the Higgs Mass and Electroweak Scale from the GTE Polynomial

Key Points

To explain how the GTE polynomial framework addresses the hierarchy problem related to Higgs mass.
Utilized the GTE polynomial p(L,C,R) = C + R - CR - LCR over GF(7)
Demonstrated that the electroweak scale is a fixed point in the polynomial's structure
Argued that no fine-tuning or new physics at the TeV scale is required.
Derived Higgs mass as 125 GeV without the need for adjustments.
Showed the electroweak scale emerges naturally from GTE framework.
Proposed a novel perspective on quantum gravity effects influencing particle mass.

Abstract

The Higgs boson weighs 125 GeV. The Planck scale — where quantum gravity becomes important — is at 10¹9 GeV. That is 17 orders of magnitude apart. Quantum mechanics says the Higgs mass should be pulled up to the Planck scale by quantum corrections. Why is the Higgs so light? The Standard Model has no answer. This tutorial explains how the GTE (Generative Triple Evolution) framework dissolves the hierarchy problem: the electroweak scale is a fixed point of the polynomial's own arithmetic, not a free parameter inserted by hand. The Higgs mass and electroweak scale are derived from the structure of the GTE polynomial p (L, C, R) = C + R - CR - LCR over GF (7), requiring no fine-tuning or new physics at the TeV scale.

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