The Paton System — Optical Vortex Paton-style Theory in Light Directionality

This paper presents a structural interpretation of optical vortices within the Paton System framework. Optical vortices, commonly understood as phase singularities in light fields, are reframed as Tier-4 datum lines representing admissible continuation paths. Rather than transporting energy, mass, or information, the vortex is interpreted as a structural guide indicating where continuation is permitted under constraint. The framework positions the optical vortex as a snapshot of admissible trajectory within an evolving wave system. Tier-3 admissibility (PAT) defines which paths are permitted, while recursive generation produces candidate states and continuous filtering determines persistence. The vortex therefore functions as a dynamic orientation marker, analogous to a directional reference or “proceeds light” path, adapting in real time to system constraints such as medium or gravitational influence. This interpretation introduces no new physical laws. It provides a structural lens through which light directionality can be understood as constraint-guided continuation. The optical vortex becomes a visible manifestation of admissible structure, linking wave behaviour to the broader Paton System principles of admissibility, recursion, and continuity.