docs: close one-sided stability branch

1 files changed, 16 insertions, 0 deletions

diff --git a/STABLE_INNOVATION.md b/STABLE_INNOVATION.md
index d499dc5..ecaf224 100644
--- a/STABLE_INNOVATION.md
+++ b/STABLE_INNOVATION.md
@@ -64,3 +64,19 @@ one-sided predictor branch without extending the grid. A pass only authorizes
 writing a separately frozen validation protocol with a new evaluation
 boundary; it supplies no accuracy claim and leaves the paper score at 5/10.
 
+## Audited S0 outcome
+
+S0 fails with no eligible margin. `delta=0.001` and `0.003` first make
+BatchNorm running variances nonfinite at steps 252 and 301; their maximum
+forward/feedback weights reach `8.16e16` and `1.48e17`. `delta=0.01` and
+`0.03` keep every tensor finite for 352 steps but have maximum minibatch losses
+of `1.40e5` and `4.97e6`, maximum used/instruction RMS ratios of 538.4 and
+6.59, and maximum weights of `8.83e6` and `1.19e8`. All four pass the
+one-sided slope certificate, frozen-predictor, traffic-calibration, loader, and
+zero-held-out-evaluation checks.
+
+The result shows that sign control alone is insufficient: a discrete momentum
+mode also has a lower stability boundary, and time-varying deep covariances can
+drive an initially negative effective mode beyond it. The grid is closed
+without another margin. No validation protocol is opened and the reviewer
+score remains 5/10.