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To derive the complete set of six quark masses using Fibonacci numbers and the Higgs vacuum expectation value.

March 8, 2026Open Access

Complete Quark Mass Spectrum from Fibonacci Arithmetic

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To derive the complete set of six quark masses using Fibonacci numbers and the Higgs vacuum expectation value.
Used the Fibonacci sequence to establish relationships between quark masses.
Utilized the Higgs vacuum expectation value set at 246 GeV.
Analyzed ratios of quark masses based on the fine-structure constant and the golden ratio.
Established the top quark mass at approximately 173 GeV as a reference point.
Derived inter-generation mass ratios consistent with known quark mass values.
Showed a mathematical framework involving Fibonacci and golden ratio for quark mass calculations.

Abstract

We derive all six quark masses from the Higgs vacuum expectation value v = F₁₂ + F₇ = 246~GeV using Fibonacci numbers and the golden ratio arphi. The top quark anchors the spectrum at mₜ = v/2 (Yukawa coupling unity) ; inter-generation ratios follow from the fine-structure constant and golden-ratio powers

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Jason W. (Sat,) studied this question.

www.synapsesocial.com/papers/69ada8dfbc08abd80d5bc413 — DOI: https://doi.org/10.5281/zenodo.18899295

Complete Quark Mass Spectrum from Fibonacci Arithmetic

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