APTADINAMIA Axiom VI: Operational Self-Reference, Epistemic Saturation and Active Forgetting

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Authors: Gerardo Azahél Chávez Juárez
Cited by: 2

Abstract

A system can be structurally viable and still collapse—not because it lacks capacity, but because it has lost the awareness that it possesses it. Axiom VI of APTADINAMIA formalizes this distinction by introducing operational self-reference: the capacity of a system to generate an internal estimator R(t) of its own proximity to collapse and to use that signal to modulate its dynamics before reaching the threshold. The framework demonstrates that this estimator admits explicit instantiation as a Luenberger observer, whose epistemic fidelity depends not only on the quality of the observer, but also on the relationship between the irreducible noise of the self-observation channel and the remaining structural margin. The central result—the Epistemic Saturation Theorem—states that for systems with long memory, no finite-dimensional observer can maintain bounded error: the system becomes blind from excess of past. This formalizes active forgetting not as a loss of information, but as the structural work necessary for operational self-awareness to retain its validity. Axiom VI thus reveals two irreducible modes of epistemic failure—imperception, where the margin exists but the system fails to register it, and aberration, where the fidelity signal diverges because the margin itself is exhausted—and demonstrates that imperception, if left uncorrected, inevitably causes aberration. Self-reference does not prevent collapse; it creates the structural possibility of anticipating it.

Fields of Study & Subjects

Quantum Mechanics and Applications Embodied and Extended Cognition Neural Networks and Reservoir Computing

Publication details

Journal / source
Zenodo (CERN European Organization for Nuclear Research)
Publication date
9 April 2026
Document type
Preprint