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

The Higgs boson weighs 125 GeV. The Planck scale — where quantum gravity becomes important — is at 10^19 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.