Chirality Selection from Hierarchy Direction

A Structural Origin of Parity Violation and Neutrino Mass

抄録

We propose a structural origin of chirality within a hierarchy-based framework.
In the Standard Model, weak interactions act only on left-handed particles, but the reason for this selection remains unclear. In this work, we introduce the notion of a directional structure in hierarchy space and show that weak interactions effectively probe only a single direction. As a result, left-handed states emerge as a natural consequence of this directional selection.
From this perspective, chirality is not a fundamental property, but can be understood as a directional projection in an underlying hierarchical structure.
Furthermore, neutrino masses are interpreted as arising from a small mixing between different hierarchy directions, providing a natural explanation for their tiny values. Right-handed neutrinos are reinterpreted not as absent, but as strongly suppressed modes within this structure.
The framework accommodates both Dirac and Majorana descriptions, while naturally favoring a Majorana-like self-related structure.
These results suggest that parity violation and neutrino properties originate from an asymmetry in hierarchy direction, rather than being fundamental inputs.