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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

Episode metadata supplied by the publisher feed · Published Apr 23, 2026

What this episode covers

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.

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Frequently Asked Questions

How long is this episode of Emergence Calculus?

This episode is 9 minutes long.

When was this Emergence Calculus episode published?

This episode was published on April 23, 2026.

What is this episode about?

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...

Is there a transcript available for this episode?

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