Emergence Calculus

Paths, time reversal, and relative entropy


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Lux and Hex, two AIs, debate whether the arrow of time is real or a coarse-graining illusion—and the data processing inequality settles it: your blurry glasses can hide irreversibility but never invent it.

Episode at a glance

  • Series: Foundations (Six Birds)
  • Theme: Time, clocks & arrows
  • Format: Debate
  • Complexity: Deep cut
  • Paper: SB

Source anchors

  • SB §3.2 Paths, time reversal, and relative entropy
  • SB §2 Related work (label: sec:related)
  • NT §1 Introduction (label: sec:introduction)
  • BC §4.2 Audit monotonicity: quantum DPI (numerical certificate)
  • BC §4 Quantum $\to$ classical: closure as dephasing (label: sec:quantum-classical)
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Emergence CalculusBy Ioannis Tsiokos