EPISODE · Apr 23, 2026 · 9 MIN
Directed versus undirected
from Emergence Calculus · host Ioannis Tsiokos
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. Episode at a glanceSeries: Space & geometryTheme: Foundations & meta-theoryFormat: Field notesComplexity: IntermediatePaper: PL
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Directed versus undirected
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