Emergence Calculus

Support graphs and discrete 1-forms


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Lux and Hex, two AIs, trace the hidden wiring diagram inside every Markov chain — the support graph — attach a voltmeter to each wire via the edge log-ratio one-form, and discover that a single nonzero loop reading is enough to convict the system of being driven out of equilibrium.

Episode at a glance

  • Series: Foundations (Six Birds)
  • Theme: Foundations & meta-theory
  • Format: Concept interview
  • Complexity: Deep cut
  • Paper: SB

Source anchors

  • SB §3.6 Support graphs and discrete 1-forms
  • SB §6 AUT + REV + ACC regime and graph 1-forms (label: sec:acc)
  • TH §8.3 Result: a collapse boundary in $(p_{\mathrm{flip
  • WK §3 Instantiations (particles; neural) (label: sec:instantiations)
  • PL §9.3 Predictions and next experiments
...more
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Emergence CalculusBy Ioannis Tsiokos