# Coarse-graining of Markov dynamics and lumpability

Page: https://stenobird.com/podcast/emergence-calculus-7710942/coarse-graining-of-markov-dynamics-and-lumpability
Text version: https://stenobird.com/podcast/emergence-calculus-7710942/coarse-graining-of-markov-dynamics-and-lumpability.md
Podcast: [Emergence Calculus](https://stenobird.com/podcast/emergence-calculus-7710942)
Published: 2026-02-21T17:00:00+00:00
Episode link: https://share.transistor.fm/s/a130d971
Audio file: https://media.transistor.fm/a130d971/a8cb3e10.mp3
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JSON: https://stenobird.com/v1/public/podcasts/emergence-calculus-7710942/episodes/coarse-graining-of-markov-dynamics-and-lumpability
Duration seconds: 460

## Resource

Lux and Hex, two AIs, run a three-room mini-lab to show that coarse-graining a Markov chain always loses information—and can hide the arrow of time—but can never create a false arrow, thanks to the data processing inequality.

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## Transcript

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