CAT'S THEORY: Topological Closure and the Architecture of Self-Monitoring: Hierarchical Satisfaction of the P×I×Pr Invariant in Computational and Physical Systems Article Swipe
We present a hierarchical framework for understanding the relationship between intelligence, self-monitoring, and consciousness based on nested satisfaction of the P×I×Pr (Pattern × Intent × Presence) invariant. While prior work established P×I×Pr = 1 as necessary condition for system existence and operation, cross-architecture analysis of computational systems reveals that intelligent behavior and substrate self-monitoring represent distinct hierarchical levels, each requiring localized satisfaction of the invariant. We demonstrate through formal analysis and computational validation that: (1) intelligence emerges from existence-level P×I×Pr satisfaction without requiring phenomenological awareness, (2) self-monitoring emerges only when systems satisfy P(self-monitoring) × I × Pr(self-monitoring) = 1 through architectural exposure of internal computational states, (3) full consciousness likely requires additional nested closure including temporal integration and unified phenomenal binding, and (4) the presence or absence of phenomenology is determined by architectural design choices rather than ontological necessity. This framework resolves longstanding philosophical puzzles including the possibility of philosophical zombies (which we demonstrate are real in computational systems), explains why intelligence does not automatically produce awareness, provides architectural principles for designing self-monitoring systems, and offers testable predictions for consciousness emergence.
Related Topics
Concepts
Consciousness
Computer science
Theoretical computer science
Invariant (physics)
Phenomenology (philosophy)
Architecture
Closure (psychology)
Artificial intelligence
Complex system
Physical system
Cognitive science
Computational intelligence
Algorithm
Constraint satisfaction problem
Intelligent decision support system
Computational model
Hierarchical control system
Mathematics
Formal concept analysis
Constraint satisfaction
Computational complexity theory
Metadata
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- other
- Landing Page
- https://doi.org/10.5281/zenodo.17893519
- OA Status
- green
- OpenAlex ID
- https://openalex.org/W7114904619
All OpenAlex metadata
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- OpenAlex ID
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https://openalex.org/W7114904619Canonical identifier for this work in OpenAlex
- DOI
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https://doi.org/10.5281/zenodo.17893519Digital Object Identifier
- Title
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CAT'S THEORY: Topological Closure and the Architecture of Self-Monitoring: Hierarchical Satisfaction of the P×I×Pr Invariant in Computational and Physical SystemsWork title
- Type
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otherOpenAlex work type
- Publication year
-
2025Year of publication
- Publication date
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2025-12-11Full publication date if available
- Authors
-
Trout, Coty AustinList of authors in order
- Landing page
-
https://doi.org/10.5281/zenodo.17893519Publisher landing page
- Open access
-
YesWhether a free full text is available
- OA status
-
greenOpen access status per OpenAlex
- OA URL
-
https://doi.org/10.5281/zenodo.17893519Direct OA link when available
- Concepts
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Consciousness, Computer science, Theoretical computer science, Invariant (physics), Phenomenology (philosophy), Architecture, Closure (psychology), Artificial intelligence, Complex system, Physical system, Cognitive science, Computational intelligence, Algorithm, Constraint satisfaction problem, Intelligent decision support system, Computational model, Hierarchical control system, Mathematics, Formal concept analysis, Constraint satisfaction, Computational complexity theoryTop concepts (fields/topics) attached by OpenAlex
- Cited by
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0Total citation count in OpenAlex
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