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| Format: | Recurso digital |
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Zenodo
2026
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| Online Access: | https://doi.org/10.5281/zenodo.18393190 |
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Table of Contents:
- <p>This note extends the structural diagnostics introduced in <em>The Rhys Canon</em> by formalizing the conditions under which a dynamical process may be lawfully incomplete. Central to this is the notion of <strong>Ω-completion</strong>—a boundary framework for evaluating whether a process that resists continuation does so within admissible structural constraints, rather than due to model insufficiency or unbounded divergence.</p> <p>The text defines admissibility criteria for process refusal, introducing a refined ontology where certain terminations or non-resumptions are not anomalies but structurally encoded limits. The work also examines the morphism space between potential continuations and identifies lawful refusal as a nontrivial selection process orthogonal to classical determinacy or randomness.</p> <p>This contribution informs mathematical logic, process ontology, systems theory, and foundational physics—particularly in contexts where scale divergence, renormalization failure, or symbolic undecidability prohibit canonical completion. It offers a new lexicon for diagnosing where systems may cease to evolve coherently and yet do so in structural fidelity.</p>