Domain Emergence from Mathematical Constraint Structures: A Structural Bridge Between Mathematics and Domain Instantiation Within the Paton System
Year: 2026
Type: article
Abstract: This paper establishes how domains emerge from mathematical structure within the Paton System. It shows that mathematics provides domain-independent structure, while domain-specific behaviour arises from constraint context. Domains are therefore constrained projections of shared mathematical structure rather than independent systems. This clarifies the relationship between mathematics and domain instantiation across physics, biology, computation, and other fields.
Author: Paton, Andrew John
Language: English
Topic: Complex Systems and Dynamics
Subfield: Statistical and Nonlinear Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7147297757
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