Renormalisation as Admissibility Compression: A Structural Interpretation within the Paton System

This paper presents a structural interpretation of renormalisation within the Paton System framework. Rather than treating renormalisation as a purely mathematical technique for managing divergences, it is interpreted as admissibility compression across scale. Physical systems exhibit scale-dependent constraint structures, and renormalisation corresponds to the filtering of non-admissible configurations while preserving invariant structure. Scale transformations reduce degrees of freedom while maintaining configurations that satisfy governing constraints. Renormalisation group flow is therefore understood as navigation through admissible structure across scale, and fixed points correspond to scale-invariant admissible configurations. Divergences are interpreted as violations of admissibility that are removed through constraint-compatible reparameterisation. This interpretation introduces no new physical ontology and does not modify existing renormalisation procedures. It provides a pre-theoretical structural lens aligning renormalisation with admissibility-based system continuation across domains.