Recursive Lineage Without Centre: A Demonstration of Paton System Mechanics in Cosmological Structure

This paper demonstrates the application of the Paton System to a concrete cosmological problem: the absence of a spatial centre in universal expansion. Without introducing new physical laws or modifying existing theory, the Paton System is applied as a structural filter. Using only its core mechanics—minimal system conditions, admissibility, recursive formation, and tier placement—it is shown that a centre is not required, origin is constraint-based rather than spatial, and lineage is embedded within structure itself. The result is a coherent interpretation of expansion and origin derived purely from system operation.