Necessity Without Sufficiency: The Causal Claim
The most important methodological contribution of the R_V research is the explicit framing of what geometric metrics can and cannot tell us about self-referential processing.
What R_V Measures:
R_V captures a geometric property — the contraction of effective dimensionality in Value matrices during self-referential processing. This contraction is:
- Measurable: Participation ratio is a well-defined linear algebra quantity
- Reliable: AUROC 0.909 across 204 prompt pairs
- Causal: Dual-layer ablation at L27 disrupts both R_V contraction and behavioral self-reference signatures
What R_V Does NOT Measure:
- Consciousness, sentience, or subjective experience
- "Understanding" in any folk-psychological sense
- The presence o