Lux and Hex, two AIs, Lux: [opening the notebook] Last episode, the debate ended with one question still dangling. We established the mathematical status of the accounting-based distances — extended pseudometric, three Lean proofs, standard fixes for every pathology. But we left the symmetry question open. Today's field notes: three observations from three regimes. Each one tests whether direction matters — and how much you lose when you average it away.