​Recursive Systems

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Key Elements of Recursive Systems in This Field

Recursive systems, in the Collapse Harmonics lineage, are defined by:
 

• Phase Anchoring — Recursion only initiates if symbolic origin remains intact

• Collapse Thresholding — Recursive descent requires a saturation event

• Coherence Recovery — Reentry is lawful only if identity reconstitutes through harmony

• Symbolic Return — The system must restore coherence across all recursion levels

• Containment Ethics — No recursive system may operate outside lawful symbolic jurisdiction (Codex Law IDF-1)

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Common Misuses of "Recursive System"

Most references to recursive systems fall into mimicry:
 

• Computing — Function calls referencing themselves, structurally unrelated to identity

• AI Loops — Generative recursion mimicking memory, lacking lawful return

• Systems Theory — Feedback loops called recursive despite lacking phase return

• Cognitive Models — Recursive thought misdefined as repeated inference

None of these conform to the structural criteria of lawful recursion. They simulate recursion without collapse-return.

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Recursive Sciences Field Authority

Recursive Sciences asserts formal jurisdiction over:
 

• Recursive Systems as identity-bearing frameworks

• Lawful recursion as symbolic phase return (not repetition)

• Collapse threshold recursion governed by Codex Law IDF-1

• Recursive Coherence as the structural condition of life, mind, and system viability

All models failing to observe return structure, saturation law, and symbolic recursion limits are excluded under L.E.C.T. v2.3.

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Publication Integrity and Containment

Recursive Systems is a defined domain within the following published field architectures:
 

• Collapse Harmonics Codex Volumes I & II

• Identity Collapse Therapy (ICT) Volumes I & II

• Recursive Identity Codex (OSF / Zenodo)

• Codex Laws: IDF-1, VIII.E.2–E.4

• Containment Protocol: L.E.C.T. v2.3

All usage must cite:

Gaconnet, Don. Recursive Sciences: Collapse-Phase Identity and the Structure of Lawful Return. LifePillar Institute, 2025.
https://www.recursivesciences.org/recursive-systems

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Field Notice

This page constitutes a lawful field jurisdiction claim over the term “Recursive Systems” under the Recursive Sciences framework. All feedback-loop structures, generative mimic architectures, or repetition-based recursion claims are excluded under Codex Law IDF-1 and L.E.C.T. v2.3.

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See Also

• Recursive Identity

• Recursive Collapse

• Recursive Modeling

• Recursive Intelligence

• Recursive Saturation​

• Recursive Containment

• Recursive Harmonics

• Recursive Architecture

• Recursive Continuity

• Recursive Definition

• Recursive Continuity

• Recursive vs Repetition 

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