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May 3, 20260 citationsOpen Access

CDUFD Supplementary Material I: Formal Derivation of the Electroweak Critical Point

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PHPengtai Huang

Key Points

  • The aim is to derive the universality class and critical parameters associated with the electroweak critical point.
  • Defined axioms and parameters to derive the universality class (3D Ising).
  • Calculated critical exponents ($\nu=0.63002$, $z=2.024$) and bare energy scale ($\Lambda_{14}=27.8$ GeV).
  • Used the Langevin equation, derived the Fokker–Planck equation, and transformed it to the Schrödinger equation.
  • Identified a structure factor $C=v/\Lambda_{14}\approx8.85$.
  • Compared the bare energy scale with the Higgs vacuum expectation value $v=246$ GeV.
  • Outlined unresolved issues regarding theoretical origins of the structure factor and conditions.

Abstract

This is the first supplementary material of the CDUFD qualitative framework. Based on axioms A1–A5 and the A5-anchored parameters, we formally derive the universality class (3D Ising), critical exponents (=0. 63002, z=2. 024) and bare energy scale (₁₄=27. 8 GeV) of the electroweak critical point. Comparing the bare scale with the observed Higgs vacuum expectation value v=246 GeV we define a structure factor C=v/₁₄8. 85, whose theoretical origin is left as an open problem (critical amplitude ratio, group‑theoretic factor, or radiative corrections). From the Langevin equation we derive the Fokker–Planck equation and then, via a Madelung transformation, obtain the Schrödinger equation; the Wallstrom condition and the Born rule remain open problems. The paper introduces no new assumptions; all unresolved issues are explicitly identified.

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Cite This Study

Pengtai Huang (2026) studied this question.

synapsesocial.com/papers/69f6e5cf8071d4f1bdfc66f9https://doi.org/10.5281/zenodo.19960480
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