A Bisector Corridor Alignment Note

Certified scalar-only corrected version of A Bisector Corridor Alignment Note. For real a,b,c, assume c ≥ −1 and ((a+b)/2)² ≤ (1+c)/2; the certified conclusion is min(a,b) ≤ sqrt((1+c)/2). A second scalar inequality uses nonnegative l1,l2 and m ≤ a1,m ≤ a2 to conclude m(l1+l2) ≤ l1a1+l2a2. The square premise HQuad is explicit: the certificate does not derive it from arbitrary vectors or geometric alignments. Broader vector, ecological and arbitrary-aggregation claims of the earlier version are withdrawn from this correction. Both listed claims map to nontrivial Run-903 certified theorems and a joint satisfiability witness. The PUBLICATION_BINDING covers the exact corrected manuscript and authorized deterministic review. logical validity given the model, not empirical validation of its assumptions.