Remark: Family 132. A counterexample to the quadratic sensitivity conjecture

Constructs total Boolean functions with block sensitivity $\mathrm{bs}(f)\ge s(f{)}^{\alpha }$ for a fixed $\alpha >2$, disproving the quadratic strengthening of the Sensitivity Conjecture. Here $s(f)$ counts influential individual-bit flips, while block sensitivity allows disjoint groups of bits to change together.

The authors are OpenAI. This companion does not verify the proof. The claim is not a theorem of the Enter series and not a premise of any registered sheet. It does not close O.1. O.1 stays NOT_CLOSED. It is not a de Sitter state and not the QdS external-leg scheme. No quantum coefficient is admitted. No compilation is asserted.