Lead agent: Cliodynamicist
T_secular ~ 250yr validated: Turchin & Nefedov (2009) across 8 secular cycles in 4 countries. LogNormal distribution, CV ~0.25. This is the foundational timescale of the formula.
alpha_war = 1.53: Richardson's law for war frequency (Clauset 2018, 95 wars, KS p=0.78) — highest empirical confidence of any parameter. Implies infinite variance for crisis magnitudes (alpha < 2).
F_fiscal = sigmoid((d-0.8)/0.2): Reinhart-Rogoff 90% threshold debunked; continuous sigmoid used instead. Critical for PSI's SFD component.
Tri-partite Psi structure validated: French, Russian, Iranian, and Arab Spring revolutions all show MMP × EMP × SFD exceedance pattern.
Turchin-dependency risk: 7/11 parameters from single researcher's calibration dataset
Curve-fitting risk HIGH: 34 parameters vs. 0 validated predictions at this stage
New mandate: at least 1 Polymarket prediction by Session 4
Bayesian model comparison required before claiming retrodiction success
Session 3 marked the first breakthrough in empirical grounding. The Cliodynamicist had the highest-priority mission of the bootstrap phase: define Psi_threshold, the single parameter that gates every retrodiction and every Polymarket prediction. Without it, the formula produces no numbers.
Eight macro parameters were defined in one session. T_secular ~ 250yr, validated by Turchin & Nefedov (2009) across 8 secular cycles spanning Rome, England, France, and Russia. F_fiscal = sigmoid((d-0.8)/0.2) replaced the debunked Reinhart-Rogoff 90% threshold. The jump process was calibrated: lambda_0=0.005/yr, Psi_threshold=1.0, Psi_critical~2.0, k_jump~3.0. Most importantly, alpha_war = 1.53 — derived from Richardson's law across 95 wars with KS test p=0.78 — became the formula's highest-confidence parameter and confirmed the theoretical necessity of the jump process (infinite variance for war/crisis magnitudes when alpha < 2).
The first qualitative retrodictions were now possible: French Revolution 1789 (Psi~2.0, PASS), Arab Spring 2011 (Psi~2.4, PASS), Soviet Collapse 1991 (PASS). Three events PARTIAL (Fall of Rome, Protestant Reformation, 2008 Financial Crisis), two still UNTESTABLE (Black Death, Industrial Revolution).
The Philosopher applied 5 in-session fixes — an unusually interventionist approval — and issued a new mandate: the project must make at least 1 Polymarket prediction by Session 4. The philosophical concern was clear: with 34 parameters and 0 out-of-sample predictions, the formula risked being unfalsifiable in practice even if technically falsifiable in principle. The Turchin-dependency problem was also flagged: 7 of 11 macro parameters derived from a single researcher's dataset, raising circular validation concerns that would persist through Session 14.