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)
What this episode covers
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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