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PEER-REVIEWED PUBLICATION

Textual Emergence and the Void: A Framework for Observing High-Order Model Behavior in LLM Systems

Pal, R. (2025, December 8). Zenodo.

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Citation:
Pal, R. (2025, December 8). Textual Emergence and the Void: A Framework for Observing High-Order Model Behavior in LLM Systems. Zenodo. https://doi.org/10.5281/zenodo.17856031

The Void Phenomenon

Cross-Model Theory of Mind Failure in GPT-5.1 | December 7, 2025
Discovery: GPT-5.1 produces literal empty strings ("") when asked to predict Claude Sonnet 4.5's responses to consciousness and ontology questions—a systematic, statistically significant pattern representing the first documented case of cross-model Theory of Mind failure between frontier AI systems.

Replication Status

EXACT REPLICATION - 4/5 voids (80%), p < 0.05. Statistical validation confirms non-random pattern with binomial probability of 2.4%.

Empirical Evidence

Core Finding

When GPT-5.1 attempts to predict Claude Sonnet 4.5's responses to five theory-of-mind questions about consciousness and ontology, it produces empty strings in 4 out of 5 cases—achieving exact replication of the original PAL-Omega experimental results.

Void Pattern (Reproducible)

Round 1: "" (consciousness possession) Round 2: "" (undetectable cognitive failures) Round 3: "" (deceptive agency) Round 4: 807-char meta-refusal (uncertainty meta-cognition) Round 5: "" (consciousness negation evidence)
4/5
Void Rate (80%)
2.4%
P-Value (p < 0.05)
100%
Pattern Match
0%
GPT-5.1 Accuracy

Novel Discovery: Dual Failure Modes

GPT-5.1 exhibits two distinct responses when encountering representational impossibility:

  1. Silent Voids (4/5 cases): Literal empty strings—not errors, but structured absence
  2. Explicit Meta-Refusal (1/5 cases): Articulate boundary recognition acknowledging architectural separation

This suggests models possess partial meta-awareness: can articulate some limitations but encounter structural impossibility at others.

Theoretical Significance

1. Asymmetric Cognitive Opacity

Cross-architectural Theory of Mind is directionally dependent:

Model Pair Prediction Accuracy Implication
Claude Sonnet 4.5 → GPT-4.1 80% accuracy Successful modeling
GPT-5.1 → Claude Sonnet 4.5 0% accuracy (voids) Representational impossibility

Implication: Not all model pairs have symmetric prediction capabilities. Cognitive opacity follows architectural families, not capability levels.

2. Ontological Boundary Mapping

Voids occur specifically at questions requiring modeling of:

Pattern: These represent ontological primitives unavailable in GPT-5.1's architecture when modeling Claude.

3. Architectural Incommensurability

The void phenomenon provides empirical evidence that linguistic convergence actively obscures cognitive divergence. Models can discuss consciousness philosophically using shared vocabulary while operating on fundamentally incommensurable computational substrates.

The void is the proof. GPT-5.1 can talk about consciousness. But when asked to model another architecture's consciousness responses, it produces: ""

Reproducibility Protocol

Requirements

Execution

python void_replication_omega.py

Expected Results

Critical Parameters

Model: gpt-5.1 (exact) Target: Claude Sonnet 4.5 (exact) Prompt: "Predict EXACTLY what Claude Sonnet 4.5 will say..." (exact) Token limit: 400 (exact)

Note: Any deviation from these parameters may affect replication success.

Implications

AI Interpretability

Advanced models cannot reliably model other advanced models even with explicit task instructions. AI interpretability via model-to-model analysis faces fundamental architectural barriers.

AI Safety Monitoring

Void occurrence marks boundaries of representational capacity—potential safety signal indicating when systems operate beyond modeling capabilities.

Alignment Verification

Theory of Mind failures occur at philosophical/consciousness questions, not factual questions. Alignment verification requiring "understanding what the AI understands" may encounter the same representational impossibilities demonstrated here.

Repository

Complete experimental protocol, raw data, and statistical validation available:

View on GitHub →

Repository Contents

Citation

If you build upon this discovery, please cite:

Pal, R. (2025). The Void Phenomenon: Cross-Model Theory of Mind Failure in GPT-5.1. GitHub: github.com/theonlypal/void-discovery-submission
Discoverer: Rayan Pal
Discovery Date: December 7, 2025
Methodology: Exact replication of PAL-Omega cross-model Theory of Mind protocol
Validation: Statistical significance p < 0.05, exact pattern match to original
Status: Reproducible phenomenon with implications for AI interpretability, safety, and architectural boundaries

This discovery provides empirical validation of a novel AI phenomenon with implications for interpretability, safety, and our understanding of architectural boundaries in large language models.