Tier-2 → Tier-3 Transition: a Gate Condition From Mathematical Structure to Physical Admissibility
Year: 2026
Type: article
Abstract: This paper defines the structural transition from mathematical possibility to physical existence within the Paton System. While Tier 2 generates internally consistent structures without limit, Tier 3 introduces a constraint-based admissibility condition governing which structures are permitted to exist as physical systems. The work formalises a minimal gate condition separating structural possibility from empirical persistence, establishing admissibility as a precondition for system membership and continuation. This provides a clear boundary between mathematical validity and physical realisation, without modifying domain-specific scientific models.
Author: Paton, Andrew John
Language: English
Subfield: Experimental and Cognitive Psychology
Field: Psychology
Domain: Social Sciences
Open Access status: green
OpenAlex ID: W7148576722
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