From 03f68f76011d510db017d3b15fdd6a231677f79a Mon Sep 17 00:00:00 2001 From: YurenHao0426 Date: Sat, 1 Aug 2026 16:24:08 -0500 Subject: Mark the superseded gate claims in the earlier results documents NATURAL_RESULTS keeps its verdict paragraph but flags that the statistic behind it does not govern recovery, and that the search has since been run. SYNTH_RESULTS gets a note on the parenthesis that turned out to be the whole story: structured fields are low-rank, the threshold formula assumes full-rank noise, and the caveat sat unfollowed for months. Co-Authored-By: Claude --- SYNTH_RESULTS.md | 6 ++++++ 1 file changed, 6 insertions(+) (limited to 'SYNTH_RESULTS.md') diff --git a/SYNTH_RESULTS.md b/SYNTH_RESULTS.md index 0e6617f..ab82851 100644 --- a/SYNTH_RESULTS.md +++ b/SYNTH_RESULTS.md @@ -266,6 +266,12 @@ rho = 0.51--0.57. Identifiable, not efficiently recoverable, exactly as observed. (Our fields are structured rather than Wigner, so the theory guides rather than proves.) +*Added 2026-08-01: that parenthesis was the whole story and we left it +as a parenthesis. Structured means low-rank, and the threshold formula +assumes full-rank noise, which is why the 0.9 figure later turned out to +predict nothing — see `RANK_RESULTS.md`. The caveat was correctly +identified and not followed up for months.* + **Correlation and identifiability are different axes.** The colour channel alone reaches rho = 0.863, far above the mixed descriptor, but its scenes collide: only 126 distinct colour multisets among 256 scenes, -- cgit v1.2.3