Metastability & Phase Transitions
Systems can persist in unstable states, until they can't
SOLID — particles locked in lattice
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Energy Landscape
Local minimum ≠ global minimum. Metastable states persist until a perturbation pushes the system over the energy barrier.
Critical Threshold
Near the critical point, small parameter changes produce dramatic system-wide reorganization. Wallace's stability boundary sits at ατ = 0.368: below it a system absorbs shocks; above it, oscillations amplify.
The Flip
Complex systems don't degrade gradually. They persist, persist, persist, then transition suddenly to a new state.
Physical
Ice → Water → Steam
Biological
DNA melting
Social
Institutional collapse
Cognitive
Paradigm shifts
Complex systems don't degrade gradually; they flip suddenly.
This is what ατ < 0.368 predicts: approach the threshold, then phase transition.
ordered / cold
critical point
disordered / hot
threshold