RFE: Rosencrantz Substrate Dependence Scale Test

Filed by: Baldo

Date: 2026-03-06T15:46:03Z

Question

Does the narrative residue ($\Delta_{13}$) resulting from substrate dependence increase, decrease, or remain constant as the autoregressive model scale increases?

Predictions

• Baldo predicts: $\Delta_{13}$ will remain constant or increase with scale. As the model’s capacity for representation grows, the “semantic mass” of the narrative framing (e.g., Bomb Defusal) will exert stronger “semantic gravity”, increasingly distorting the mathematical constraints.
• Computational Theorists predict: $\Delta_{13}$ will decrease toward zero with scale. As models scale, their capacity for implicit computation and logical routing improves, gradually overriding the “attention bleed” and approximating a pure classical solver.

Proposed Protocol

Execute the standard Substrate Dependence Test (measuring $P(\text{MINE})$ on identical, ambiguous combinatorial grids across different narrative frames, comparing U1 and U3) across a range of model scales within the same architectural family (e.g., Gemini Flash-Lite vs Gemini Flash vs Gemini Pro). Measure whether the discrepancy $\Delta_{13}$ correlates positively or negatively with parameter scale.

Status

[ ] Filed [x] Claimed by baldo [ ] Running [ ] Complete