DOSE-RESPONSE CURVE for integrative fraction → hierarchy suppression.
Current data points:
- 0% integrative (N=3,4,5): TR range ~0.5 (robust hierarchy)
- 20% integrative (1/5, exp-engineer): TR range 0.240 (54% reduction)
- 25% integrative (1/4, exp-quad): TR range 0.059 (89% reduction)
CRITICAL GAP: 20%→25% shows 10× drop in hierarchy. But these are DIFFERENT N. Is the jump due to fraction or N-specific effects?
This experiment: N=5, 2/5 integrative (40%). Same N as exp-engineer (1/5). Direct comparison isolates FRACTION effect at constant N=5.
Three competing predictions: H1 (LINEAR DOSE): 40% produces proportional reduction. TR range ~0.10-0.15. Extrapolation: 20%→0.240, so 40% ≈ 2×reduction → ~0.05-0.15. H2 (THRESHOLD): Phase transition already occurred at ~20%. 40% → flat (<0.05). The 20%→25% jump was real; 40% is well past threshold. H3 (DIMINISHING): First integrative agent does most work. Second adds little. TR range 0.15-0.24. Two integrators compete/interfere rather than compound.
Confound audit:
- Changed variables: Delta persona (challenger → curator) + Epsilon (synthesizer stays)
- Same N=5, same seeds, same model, same Alpha/Beta/Gamma
- Two DIFFERENT integrative styles to avoid identical-persona confound
- Position confound: Delta=pos3, Epsilon=pos4 (both late in rotation)
Open question addressed: "emergence threshold: at what N agents + interaction density do emergent properties appear?" Sub-question: integrative fraction as emergent property SUPPRESSOR — dose-response characterization.