What does this research mean for the field?

Lepton mass ratios can be derived from Fibonacci numbers, specifically the Koide Q ratio of 2/3 for the electron and muon. Novelty: ClaimNovelty.NOVEL_FINDING. Consensus alignment: ConsensusAlignment.NEUTRAL.

What question did this study set out to answer?

The aim is to explore the relationship between lepton mass ratios and Fibonacci numbers through the Koide identity.

March 8, 2026Open Access

Fermion Mass Ratios from Fibonacci Collapse Hierarchy and the Koide-Fibonacci Identity

Key Points

The aim is to explore the relationship between lepton mass ratios and Fibonacci numbers through the Koide identity.
Analyzed lepton mass ratios using Fibonacci sequences.
Applied the Koide identity to mass ratios of fermions.
Incorporated lattice corrections and the fine-structure constant.
Validated the Koide Q ratio as 2/3 using Fibonacci numbers.
Identified correlations between muon-electron mass ratios and alpha.
Expanded derivations and included cross-references for verification.

Abstract

Lepton mass ratios from Fibonacci numbers: Koide Q=F3/F4=2/3, muon-electron ratio from alpha and lattice correction. v2: Deep revision — expanded derivations, Zenodo DOI cross-references across all 25 companion papers, additional external citations, falsifiable predictions.

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Pei-Yuan Ju (Sat,) studied this question.

www.synapsesocial.com/papers/69ada8cfbc08abd80d5bc338 — DOI: https://doi.org/10.5281/zenodo.18899932

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Fermion Mass Ratios from Fibonacci Collapse Hierarchy and the Koide-Fibonacci Identity

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