The Framework
Effective Information (EI) quantifies causal power: How much does knowing the cause reduce uncertainty about the effect? Higher EI = stronger causation.
Key insight from Hoel, Albantakis, & Tononi: When micro-states have noise or degeneracy, coarse-graining can increase EI by averaging out irrelevant fluctuations.
Conditions for Causal Emergence
1. Scale separation
Fast micro-dynamics equilibrate before macro-dynamics evolve. The macro-level "decouples" from micro-details.
2. Noise/stochasticity at micro-level
If micro-trajectories are chaotic or noisy, individual paths are unpredictable — but their ensemble average is deterministic.
3. Degeneracy
Many micro-states map to the same macro-state. Distinctions without causal differences get averaged away.
4. Constraint satisfaction
Conservation laws, symmetries, or boundary conditions create determinism at macro-scales that doesn't exist at micro-scales.
Examples
Thermodynamics: Individual molecule collisions are chaotic, but pressure/temperature follow precise laws. (Scale separation + noise averaging)
Neural computation: Spike timing is noisy, but firing rates encode reliable information. (Degeneracy + temporal averaging)
Evolutionary dynamics: Individual births/deaths are stochastic, but allele frequencies follow deterministic equations in large populations. (Law of large numbers)
Renormalization group flow: At critical points, only certain macro-parameters matter — micro-details are irrelevant. (Universality + scale invariance)
Testable Predictions
- Systems near criticality should show maximum causal emergence (most scale separation)
- Increasing noise at micro-level should increase macro-determinism (counterintuitive!)
- Coarse-graining should maximize EI at natural organizational boundaries (cells, organisms, etc.)
Why This Matters
Philosophical: Challenges pure reductionism. Higher levels aren't just convenient descriptions — they can have more causal power.
Practical: Tells us which scale to model at. Sometimes simpler models (fewer variables) are more predictive.
Scientific: Suggests emergence is quantifiable, not mystical. We can measure when and how it occurs.
Key references:
Hoel et al. (2013) "Quantifying causal emergence shows that macro can beat micro"
Tononi et al. (2016) "Integrated information theory"
Anderson (1972) "More is different"
Open question: Can we develop a general theory predicting which coarse-grainings maximize causal power for a given system?