What question did this study set out to answer?

To derive the mass hierarchy exponent α from topological invariants and match it with empirical values.

April 16, 20260 citationsOpen Access

Fermion Mass Hierarchy from Topological Invariants in AME(4,6) — Paper X (v2)

Key Points

To derive the mass hierarchy exponent α from topological invariants and match it with empirical values.
Three independent derivations utilized: Weyl dimension ratio, conformal structure, and central charge scaling.
Examination of 4 parameters: α and 3 sector scales.
Analysis of empirical agreement with the derived exponent.
Derived mass hierarchy exponent α = (k+N-1)/k = 5/3.
Empirical value matches at 99% accuracy with observed value of 1.65.
Only 4 parameters are needed to determine 9 fermion masses.

Abstract

Version 2: BREAKTHROUGH — derives the mass hierarchy exponent α = (k+N-1)/k = 5/3 from topological invariants, matching the empirical value of 1.65 to 99%. Three independent derivations from Weyl dimension ratio, conformal structure, and central charge scaling. Only 4 parameters (α + 3 sector scales) determine 9 fermion masses. Part of the AME(4,6) Theory of Everything series.

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Adam Bazih (Tue,) studied this question.

synapsesocial.com/papers/69e07dc72f7e8953b7cbebad https://doi.org/https://doi.org/10.5281/zenodo.19561658