Fix gramcover gauge dependence for coupled W#37
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A nondiagonal W can couple distinct support components, which gramcover merges into a group. The bound over a group is built from the per-block sums M[p,q], each weighted by sqrt(M[p,p]/M[q,q]), rather than from a single uniform total over the group. Every term then scales as γ[p]^2 under the componentwise gauge a -> γ*a, b -> b/γ, so s depends on (a, b) only through the products a[i]*b[j], as it already did for diagonal W. Where a component's own block vanishes, its weight propagates along the coupling as M[p,q]^2/M[q,q]. A group in which every block vanishes admits no such weight: the surviving data fixes each product s[j]*s[k] across two components but not how it divides between them, and the group takes the uniform total. Assisted-by: Claude Opus 4.8 <noreply@anthropic.com>
Codecov Report❌ Patch coverage is
Additional details and impacted files@@ Coverage Diff @@
## main #37 +/- ##
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- Coverage 98.78% 98.74% -0.05%
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Files 14 14
Lines 2306 2383 +77
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+ Hits 2278 2353 +75
- Misses 28 30 +2 ☔ View full report in Codecov by Harness. 🚀 New features to boost your workflow:
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A nondiagonal W can couple distinct support components, which gramcover merges into a group. The bound over a group is built from the per-block sums M[p,q], each weighted by sqrt(M[p,p]/M[q,q]), rather than from a single uniform total over the group. Every term then scales as γ[p]^2 under the componentwise gauge a -> γ*a, b -> b/γ, so s depends on (a, b) only through the products a[i]*b[j], as it already did for diagonal W.
Where a component's own block vanishes, its weight propagates along the coupling as M[p,q]^2/M[q,q]. A group in which every block vanishes admits no such weight: the surviving data fixes each product s[j]*s[k] across two components but not how it divides between them, and the group takes the uniform total.
Assisted-by: Claude Opus 4.8 noreply@anthropic.com