Disconfirming Edge 3: Emergence vs Least Action
C21 (Emergence) contradicts C02 (Least Action)
Tension: If everything extremizes action (C02), then emergence (C21) is merely the appearance of new minima at larger scales — not genuinely new laws. But emergence claims new principles are irreducible.
Resolution status: OPEN
What would settle it: A complete derivation of emergent phenomena (superconductivity, life, consciousness) from the least action principle alone, with no new Lagrangian at each scale; OR proof that each emergent level requires a new Lagrangian that cannot be derived from the lower-level one.
Current state: Effective field theory in physics partially resolves this — higher-level Lagrangians ARE derivable from lower-level ones, but with renormalized parameters that are computationally irreducible. The ontological status of this irreducibility is disputed.
Honest assessment: This is the reductionism–emergence debate in technical dress. The honest position: epistemically irreducible (we cannot compute it), but ontologically continuous (no new fundamental forces at each scale).
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Corpus map
- C21 (Emergence): C21 in the Encyclopedia · C21 in the Catalogue
- C02 (Least Action): C02 in the Encyclopedia · C02 in the Catalogue
- Disconfirming edges: 1 · 2 · 3 · 4 · 5
- Catalogue hub: Convergence Catalogue — Public Article · The Schema