PAPER_OUTLINE: add 6th validation (perturbation correlation triangulation)

1 files changed, 2 insertions, 1 deletions

diff --git a/protocol/PAPER_OUTLINE.md b/protocol/PAPER_OUTLINE.md
index 3cc6b57..015b06b 100644
--- a/protocol/PAPER_OUTLINE.md
+++ b/protocol/PAPER_OUTLINE.md
@@ -192,13 +192,14 @@ The new framing has several improvements over the original "scale + direction" c
 - **Multi-seed lock-in**: 3 seeds × {ep 1, ep 2} vanilla cosine closes the single-seed-fluke objection
 - **Avoids the "two failure modes via (d)" claim**: (d) is now reframed as a depth-utilization measure, not a credit-quality test
 
-### Five independent validations supporting the framing
+### Six independent validations supporting the framing
 
 1. Direct deep-layer cosine measurement on penalized DFA: 3-seed mean +0.155 ± 0.025
 2. Null calibration with 20 fresh random Bs: deep cos +0.002 ± 0.022 — confirms training-Bs +0.16 is real
 3. Hypothesis-B disambiguation (vanilla early-epoch ep 1, ‖g‖ in meaningful regime): deep cos -0.008 ± 0.013 across 3 seeds — confirms penalty creates (not just reveals) the alignment
 4. BP+penalty capacity-cost control: penalty has only -8 pp BP cost; the 17 pp residual gap is consistent with credit-quality cost
 5. Multi-seed lock-in: 24 measurements (3 seeds × 2 ep × 4 deep layers) all in [-0.04, +0.02] — single-seed-fluke objection closed
+6. **Perturbation correlation cross-metric triangulation**: vanilla deep ρ -0.003 ± 0.005, penalized deep ρ +0.080 ± 0.011 (3 seeds). Different metric (loss-change-based, no eps clamp, sample-level) confirms the same vanilla→penalized transition. Rules out single-metric artifacts on either cos or ρ side.
 
 ## §5 Pipeline pitfalls catalog (appendix)