What question did this study set out to answer?

The aim is to explore a framework to understand fermion generations and flavor mixing through algebraic structures.

March 16, 2026Open Access

A Discrete Algebraic Origin of Fermion Generations and Flavor Mixing from a 60-State Cyclic System

Key Points

The aim is to explore a framework to understand fermion generations and flavor mixing through algebraic structures.
Introduced a discrete algebraic framework based on a 60-state cyclic system.
Utilized Fibonacci residue structures to develop the model.
Derived several phenomena including generation structures and flavor mixing relations.
Identified a rank-3 generation structure for fermions.
Proposed a flavor mixing relation emerging from the framework.
Presented a candidate for a stable dark sector.

Abstract

This preprint introduces a discrete algebraic framework based on a60-state cyclic system decorated by Fibonacci residue structures. Within this framework, particle-like sectors, a natural rank-3 generationstructure, a leading flavor mixing relation, and a stable neutraldark-sector candidate emerge from a common arithmetic construction. This release is intended as a public conceptual disclosure of theframework and its principal predictions. Full technical derivations,reconstruction algorithms, and implementation details are reservedfor future technical publications.

A Discrete Algebraic Origin of Fermion Generations and Flavor Mixing from a 60-State Cyclic System

Key Points

Abstract

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