EPISODE · Feb 23, 2026 · 7 MIN
Paths, time reversal, and relative entropy
from Emergence Calculus · host Ioannis Tsiokos
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 glanceSeries: Foundations (Six Birds)Theme: Time, clocks & arrowsFormat: DebateComplexity: Deep cutPaper: SB Source anchorsSB §3.2 Paths, time reversal, and relative entropySB §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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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.
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Paths, time reversal, and relative entropy
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