FROM SYSTEM TO DOMAIN Structural Invariance Across Constraint Environments

This paper formalises the relationship between the Paton System as a domain-neutral structural framework and its instantiation across specific domains. The Paton System defines the conditions under which systems can exist form and continue under constraint. Domains are defined as systems operating under specific constraint sets. Variation between domains arises from constraint differences rather than structural change. The same invariant structural logic governs all domains. A mapping from system to domain is defined in which observable behaviour emerges from the interaction between the invariant system and domain-specific constraints. This explains why similar structural behaviour appears across physics biology computation and other fields. The paper clarifies that domain theories describe expressions of structure rather than structure itself and establishes a unified basis for cross-domain interpretation.