Evidence for a Structural Floor: A Minimum Coherence Threshold for Attractor Recovery in GPT-2 Medium Under Recursive Load > ER2: The Structural Floor Hypothesis

Empirical Record 2 of the Three Primitives Framework (3primitives.io). ER2 extends ER1's findings to recursive depth ρ = 50, where structural forcing alone proves insufficient for coherence recovery. A structural floor at Chi ≈ 0.80 (Layer 12, GPT-2 Medium) is identified, below which sustained attractor recovery does not occur. A three-condition model (structural forcing, above-floor geometry, convergent trajectory) achieves 12/12 classification accuracy across twelve prompts in Sessions 2 and 3. Stability without deceleration is not convergence. Red-teamed by Claude (Anthropic), DeepSeek, Gemini (Google), and Perplexity. Full corpus: https://3primitives.io/formal_records/

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Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-05-28
DOI
https://doi.org/10.5281/zenodo.20422421
Primary Topic
Fluid Dynamics and Turbulent Flows
Type
preprint
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Evidence for a Structural Floor: A Minimum Coherence Threshold for Attractor Recovery in GPT-2 Medium Under Recursive Load > ER2: The Structural Floor Hypothesis

Stacy B. Gildenston, Pyrate R Passell
Zenodo (CERN European Organization for Nuclear Research)
Fluid Dynamics and Turbulent Flows
preprint

Evidence for a Structural Floor: A Minimum Coherence Threshold for Attractor Recovery in GPT-2 Medium Under Recursive Load > ER2: The Structural Floor Hypothesis

Stacy B. Gildenston, Pyrate R Passell
preprint en

Abstract

Empirical Record 2 of the Three Primitives Framework (3primitives.io). ER2 extends ER1's findings to recursive depth ρ = 50, where structural forcing alone proves insufficient for coherence recovery. A structural floor at Chi ≈ 0.80 (Layer 12, GPT-2 Medium) is identified, below which sustained attractor recovery does not occur. A three-condition model (structural forcing, above-floor geometry, convergent trajectory) achieves 12/12 classification accuracy across twelve prompts in Sessions 2 and 3. Stability without deceleration is not convergence. Red-teamed by Claude (Anthropic), DeepSeek, Gemini (Google), and Perplexity. Full corpus: https://3primitives.io/formal_records/

Zenodo (CERN European Organization for Nuclear Research)
SCIVP of Veterinary Medicinal Products and Feed Additives (UA)
Fluid Dynamics and Turbulent Flows
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