How We Handle Failure
MethodologyDocumenting what doesn't work is as important as what does.
Most research frameworks bury their failures. Synchronism treats them as first-class results. A well-documented failure teaches more than a vaguely confirmed success.
Notable Failures
| Prediction | Result | Session | Lesson |
|---|---|---|---|
| Hall Coefficient R_H vs γ | r = 0.001 | #102 | Extensive ≠ intensive property |
| Magnetic Susceptibility | NONE | #82 | Spin coherence independent of phonon coherence |
| Coordination Number Z | r = 0.116 | #123 | Topology ≠ coherence |
| Valence Electron Count | r = -0.161 | #125 | Bonding capacity ≠ bonding quality |
| Melting Points | 53% error | multiple | Activated processes resist γ framework |
| Critical Exponents | 2× off | multiple | Mean-field fails at phase boundaries |
The Four Failure Regimes
Session #616's chemistry audit revealed that failures cluster into four regimes, each teaching something different about where γ applies:
Regime 0: Neutral
γ is simply irrelevant. Counting properties (coordination number, valence electrons) don't respond to coherence. You can't predict how many neighbors an atom has from how well-correlated they are.
Regime 1: Coherence Helps
P ∝ 1/γ. Propagation properties (conductivity, bulk modulus, T_c). This is where the framework succeeds. r > 0.9 for many properties.
Regime 2: Incoherence Helps
P ∝ γ. Response properties (piezoelectricity, thermal expansion). The framework assumed “coherence always good” — wrong. Piezoelectricity d₃₃ has r = 0.940 with incoherence.
Regime 3: Barrier-Dominated
P ∝ exp(−E/kT). Activated processes (thermionic emission, melting). γ is negligible compared to thermal activation energy. This is why melting points fail at 53%.
The Anomalous Results
Some results are more interesting than either success or failure:
- Piezoelectricity d₃₃: r = 0.940 — but with incoherence, not coherence. Disorder helps.
- Magnetic Anisotropy (RE): r = −0.434 — negative correlation. More coherence, less anisotropy.
- Channel independence: γ_phonon vs γ_optical (r = 0.158), γ_phonon vs γ_spin (NONE). Different coherence channels are independent.