Causal Emergence: When Distortions In A Map Obscure The Territory
summary
Argues that causal emergence is defined by finding a coarsening partition of a finite-state transition matrix that maximizes effective information, computed as KL divergence / mutual information under maximum entropy interventions, and searches over all coarse-grainings of I and J. Shows simple 8-state examples where seven microstates collapse despite differing effects (sensitive to changes like 0.7→0.8), proves abstraction and marginalization do not commute, and concludes the channel‑capacity analogy and uniqueness of emergent partitions are dubious.
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chapters (6)
- 0:00Introduction
- 9:09Theory
- 11:48Effective Information
- 16:15Causal Emergence
- 22:35Example
- 25:10What bothers me
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