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The aim is to develop a mathematical foundation for the autonomic layer of the Orchard Cognitive Framework.

August 12, 2026Open Access

Towards The Mathematics of Autonomic Cognitive Organisation

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The aim is to develop a mathematical foundation for the autonomic layer of the Orchard Cognitive Framework.
Identified six primitives across multiple mechanisms and proposed conservation laws.
Established a candidate structure for representing temporal informational states with governing laws.
Conducted adversarial reconstructions to test competing structural hypotheses.
Introduced a candidate law R-C7 for future testing in the mathematical framework.
Demonstrated significant complexity in understanding lawful transport and state dependencies.
Proposed various mathematical constructs for improving cognitive appraisals, maintaining integrity and accountability.

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The paper proposes a candidate mathematical basis for cognitive organization, suggesting implications for AI alignment.

KIMBERLEY LAVERNE ASHER (2026) studied this question.

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