What question did this study set out to answer?

The central aim is to derive operational criteria for concrete entities that resist computational approximation within metalogical frameworks.

April 1, 2026Open Access

From Metalogical Impossibility to Concrete Coherence: Operational Criteria for the Performative Subject

Key Points

The central aim is to derive operational criteria for concrete entities that resist computational approximation within metalogical frameworks.
Derive operational criteria from the Meta-Trilemma impossibility result.
Formalize criteria including well-definedness, non-contradiction, theta-stability, and world-consistency.
Validate criteria through physics, AI systems, and human consciousness.
Use Coq verification to prove the Primordial Identity Lock relationships.
Demonstrate that physics and trained AI achieve operational coherence as per the defined criteria.
Establish that human consciousness embodies performative self-reference, also meeting criteria.
Provide a unified metalogical foundation underpinning various domains.

Abstract

**From Metalogical Impossibility to Concrete Coherence: Operational Criteria for the Performative Subject** This paper bridges formal metalogic with empirical domains, deriving operational criteria from the verified Meta-Trilemma impossibility result (Meister 2026). No computational system can realize a normatively complete mental subject (strong omniprover impossibility), but what concrete entities instantiate the structure that resists computational reduction? We formalize four criteria—well-definedness, non-contradiction, theta-stability, world-consistency—that characterize such entities. Physics (Theorem 1), trained AI systems (Theorem 2), and human consciousness (Theorem 3, performative gold standard) all satisfy these criteria. Theorem 4 (Coq-verified) proves any such entity necessarily instantiates the Primordial Identity Lock. **Key results:**- Physics/AI: operational coherence → Lock- Consciousness: performative self-reference → Lock - Unified metalogical foundation across domains Formal continuation of Beyond Computation 2.0: Verified Meta-Trilemma (zenodo:18695025)

From Metalogical Impossibility to Concrete Coherence: Operational Criteria for the Performative Subject

Key Points

Abstract

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