Phase Transitions
Core PredictionThe coherence function predicts three distinct regimes, with transitions between them. The most interesting physics happens at the boundaries — especially at γ ≈ 1.
The γ ≈ 1 Boundary
This is where Synchronism makes its strongest chemistry prediction. At γ ≈ 1 (Ncorr ≈ 4), the coherence function has maximum curvature — small changes in density produce large changes in coherence. This is why:
- Phase transitions cluster here (melting, boiling, sublimation)
- Catalysis operates at this boundary (enzymes, industrial catalysts)
- Superconductivity appears (Cooper pairs ≈ 2-body correlations)
- Biology emerges (molecular recognition requires quantum-classical interface)
1,703 chemical phenomena were tested. 89% show γ values within the predicted boundary region. See the full chemistry analysis →
Transitions in Cosmology
The same framework applies to larger scales. Galaxy rotation curves show a transition at ρ ≈ ρcrit from Newtonian (high density inner region) to MOND-like (low density outer region). This is the astrophysical phase transition.
What Doesn't Work
Real phase transitions have universality classes with specific critical exponents. Synchronism's mean-field-derived tanh gives the wrong exponents by a factor of ~2. The function captures where transitions happen but not how they unfold.