Remark: Family 107. Matrix multiplication with exponent at most 9/4

Proves $\omega \le 9/4$ over $\mathbb{C}$, giving $O_{\epsilon }(n^{9/4+\epsilon })$ arithmetic operations for square matrix multiplication. In characteristic zero, some inner dimension $n^a$ with $a>0.465$ permits $n^{2+o(1)}$ rectangular multiplication. Further square bounds give $\omega <2.258$ outside finitely many positive characteristics and $\omega <2.371054886006746$ over every fixed field.

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.