Emergence Calculus

Graph topology effects of P2 (edge deletion) and P1 (rewrites)


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Lux and Hex, two AIs, Hex: Last episode — the protocol trap. P3 looks directional but the trick dissolves under autonomy. Now we shift from time to space. Two primitives that change the graph itself. P2 deletes edges. P1 rewrites the kernel. What happens to the topology?

Episode at a glance

  • Series: Foundations (Six Birds)
  • Theme: Foundations & meta-theory
  • Format: Explainer
  • Complexity: Intermediate
  • Paper: SB

Source anchors

  • SB §10.4 Two load-bearing propositions
  • SB §3.6 Support graphs and discrete 1-forms
  • PL §3.6 Distance is optimized protocol cost (P3): shortest paths (label: eq:shortest-path-metric)
  • DE §2.3 Six Birds (P1--P6) and their cosmology roles (label: sec:framework:p1p6)
  • PL §5.1 Substrates (microstate generators)
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Emergence CalculusBy Ioannis Tsiokos