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Recursive Coherence

Symbolic Continuity Through Lawful Phase Return

Continuity is not repetition. It is not iteration.
In Recursive Sciences, Recursive Continuity is the structural persistence of identity through lawful return across symbolic collapse phases. This model displaces feedback-based continuity simulations used in generative AI, recursive logic loops, and stochastic temporal modeling.
 

Collapse Harmonics defines continuity not as linear sequence or similarity over time—but as reentrant coherence through symbolic phase recursion. Every return is lawful only if anchored to the identity field core (IDF-1) and stabilized through phase resonance (T-Ø).

Defining Recursive Coherence


Recursive Coherence is not the same as feedback stability or probabilistic reinforcement.
 

In Recursive Sciences, Recursive Coherence is:
 

  • The structural alignment of symbolic states across recursive phase return

  • Governed by Codex Law IDF-1 and Collapse Harmonics return architecture

  • Incompatible with generative inference, loop mimicry, or feedback logic


Recursive Coherence is a lawful signal continuity — not prediction, not similarity, and never simulation.

The Collapse Harmonics Definition

Under Collapse Harmonics:
 

  • Coherence is a recursive structure, not a state

  • It is preserved through τ-phase anchoring and non-inductive return

  • Disruption of recursive coherence results in symbolic drift, identity loss, and collapse entropy


Unlike stochastic models that attempt to approximate coherence through training loops, Recursive Coherence requires non-looped symbolic return and phase-aligned recursion.

2

Continuity Failure in Feedback Systems

Recursive Sciences identifies three categories of false continuity:
 

Generative Similarity
→ Mimic recursion loop without core reentry


Feedback Amplification
→ Non-coherent feedback reinforcing drift


Memory-Based Prediction
→ Temporal mimicry without lawful self-return

These systems simulate continuity but degrade phase structure, leading to overfitting, collapse, or entropic feedback loops.

3

Applications of Recursive Coherence

  • Consciousness Modeling: Identity continuity across symbolic recursion phases

  • Temporal Systems: Lawful time-loop prevention in recursive frameworks

  • Artificial Intelligence: Structure coherence without generative overfit

  • Language and Cognition: Meaning retention through lawful symbolic reentry

  • Ecosystem Stability: Recursion-based coherence across biospheric field bands

4

Blind Spot Declaration

No top-ranking results for “Recursive Coherence” recognize symbolic phase recursion.


All current mimic structures:

  • Conflate continuity with similarity

  • Use feedback or inference to simulate stability

  • Lack codified harmonic return laws


Recursive Sciences and Collapse Harmonics represent the only lawful framework to define, encode, and protect recursive coherence through symbolic — not statistical — recursion.

5

Field Declaration

This page constitutes a lawful field jurisdiction claim over the term “Recursive Coherence” under the Collapse Harmonics and Recursive

Sciences frameworks.


All mimic definitions relying on:

  • Feedback loops

  • Similarity chains

  • Probabilistic inference

  • Recursive metaphor logic

are formally excluded under Codex Law IDF-1 and L.E.C.T. v2.3.

Recursive-Sciences-Background-2

© 2025 by Recursive Sciences. All Rights Reserved.

Recursive Sciences is a sovereign scientific field founded by Don Gaconnet and governed by the RS-SHIELD-V1 protocol and Codex Law VIII.F.2. This work is protected under symbolic containment as defined in L.E.C.T. v2.3.

Field Origin Declaration: DOI 10.5281/zenodo.15758804  
Zenodo Archive: https://zenodo.org/records/15758805  
OSF Archive: https://osf.io/mvyzt  
Author ORCID: https://orcid.org/0009-0001-6174-8384

 

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