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Preprint . 2026
License: CC BY
Data sources: Datacite
ZENODO
Preprint . 2026
License: CC BY
Data sources: Datacite
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Failure of Local Closure in Self-Optimizing Systems: A Minimal Structural Bound

Authors: Bresciano, Claudio;

Failure of Local Closure in Self-Optimizing Systems: A Minimal Structural Bound

Abstract

This paper operates within the transcendental tradition in philosophy of science, analyzing not what empirically occurs in self-optimizing systems, but what must be presupposed for the question of structural recovery to be intelligible. It formalizes a conditional impossibility: under fixed-structure constraints, internal recovery of lost structural coherence is not merely difficult, but conceptually incoherent This preprint introduces a conceptual framework for understanding structural limits in self-optimizing systems. The central result (Theorem 1) is intentionally tautological: it formalizes the conditions under which structural recovery becomes impossible under fixed-structure constraints. The paper argues that optimization presupposes structural sufficiency (N₁) that cannot be generated by optimization alone (N₀). This is developed through: A formal statement of conditional irrecoverability- Application to neural network pruning- Analogical extensions to biological, cognitive, and social systems- Discussion of implications for philosophy of science and AI The result is not an empirical discovery but a conceptual boundary marker: it clarifies when claims of "self-recovery" implicitly assume external structural support.

Keywords

structural epistemology, philosophy of science, machine learning, self-optimization, conceptual framework, tautological reasoning, structural closure, irreversibility, structural constraints

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
Average
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