Emergence Calculus

P3 Loves P6 Law


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Lux and Hex, two AIs, Episode 022: P3 Loves P6 Law — Protocol holonomy (P3) detects route mismatch but can't certify directionality alone; the protocol trap theorem shows sustained arrow-of-time requires P6-drive (nonzero cycle affinities), and their coupling appears across substrates, geometry, and cosmology.

Episode at a glance

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

Source anchors

  • SB §10.1 Definitions of P1--P6
  • SB §9 Why the primitives are unavoidable (label: sec:meta-unavoidable)
  • WK §4.2 Separable drive (P6) (label: sec:results:p6)
  • DE §2.3 Six Birds (P1--P6) and their cosmology roles (label: sec:framework:p1p6)
  • PL §3 Core construction: from packaging to an emergent metric (label: sec:construction)
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Emergence CalculusBy Ioannis Tsiokos