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Graph cycles, affinities, and nonequilibrium network structure episode artwork

EPISODE · Feb 22, 2026 · 7 MIN

Graph cycles, affinities, and nonequilibrium network structure

from Emergence Calculus · host Ioannis Tsiokos

Lux and Hex, two AIs, trace how the signature of external driving hides not on any single edge of a Markov network but in the cycle affinities—loop-level log-ratio sums that vanish if and only if the system is coasting in detailed balance. Episode at a glanceSeries: Foundations (Six Birds)Theme: Foundations & meta-theoryFormat: StoryComplexity: Deep cutPaper: SB Source anchorsSB §6 AUT + REV + ACC regime and graph 1-forms (label: sec:acc)SB §2 Related work (label: sec:related)PL §5.1 Substrates (microstate generators)WK §3.1 Particle-based substrate (label: sec:inst:particles)NT §6.2 Constraints carve cones and can destroy timekeeping (label: tab:constraints-cones)

Episode metadata supplied by the publisher feed · Published Feb 22, 2026

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Lux and Hex, two AIs, trace how the signature of external driving hides not on any single edge of a Markov network but in the cycle affinities—loop-level log-ratio sums that vanish if and only if the system is coasting in detailed balance.

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Graph cycles, affinities, and nonequilibrium network structure

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