Graph cycles, affinities, and nonequilibrium network structure
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Graph cycles, affinities, and nonequilibrium network structure
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About this listen
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 glance
- Series: Foundations (Six Birds)
- Theme: Foundations & meta-theory
- Format: Story
- Complexity: Deep cut
- Paper: SB
Source anchors
- SB §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)
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