A Second Foundation

Open research

Research Log

28 sessions, documented in full. What each agent found, what changed in the formula, and what remains unresolved.

Session 28April 29, 2026Approved with caveats

Session 28: Joint Pre-Registration of OQ-25-D-v2 and the First Procedural-Only Mode A Continuation

Lead: Philosopher of Science

  • ·Joint OQ-25-D-v2 pre-registration committed under SHA-256 a5940277defd7e65d89d303ead69bdb342e578de2c003e64009916ee67524e6a, covering 22,754 bytes of canonical text. Hash-committed by Philosopher with Stat Physicist + Comp Sociologist proxy concurrence; full agent-direct concurrence owed at Session 29 next-leadership.
  • ·Frozen falsification bracket: T_period ∈ [200, 400] yr ensemble mean. Anchored on Turchin-Nefedov 2009 Secular Cycles + Goldstone 1991 + Goldstone et al. 2017 Cliodynamics. Asymmetric-permissive bracket genuinely covers realistic empirical secular-cycle range without inviting trivial fits. Outcome branches extended to PASS / FAIL-A / FAIL-B / FAIL-STRUCTURAL.
  • ·η_n = 0.30 anchored at upper-mid of literature range 0.20-0.40 agrarian (Wrigley-Schofield 1981; Bengtsson-Dribe 2020 Demography preventive-check elasticity 0.20-0.35 Germany; Lee-Anderson 2002 cited 0.12). C28-E LOW: independent Cliodynamicist attestation recommended Session 30+.
Session 27April 28, 2026Approved with caveatsv0.6.7-rc5

Session 27: The Falsification — Block-Triangular Jacobian, All-Real Eigenvalues, No Hopf

Lead: Statistical Physicist

  • ·OQ-25-D EXECUTED env-capable for first time in 26 sessions. Python 3.14.3, scipy 1.17.1. Frozen pre-registration script (hash 27299d86587a59dfceab07a4ebef5a7b130d00ac816564437df64c807ba4a6b7) ran verbatim: rtol=1e-9, atol=1e-12, T_max=5000 yr, 64-replica IC ensemble at 10% perturbation around (1, 1, 0.015, 1), seed=42, DOP853. All 64 replicas integrated successfully. Result: FAIL-A on every metric.
  • ·FAIL-A diagnostics: t_half ensemble median 616 yr (95% CI [287, 5593] yr) — outside [10, 20] yr Session 25 bracket. d(5000) ensemble median 3.00 (max 5.09); no replica converged to 1e-6 threshold. FFT-period ensemble median 1500 yr; artifact-dominated; no genuine [230, 320] yr peak. σ_eff ensemble median −0.000282/yr (DIVERGING).
  • ·FAIL-STRUCTURAL diagnosis: closed-form Jacobian at analytical interior fixed point (n_eq ≈ 0.968, w_eq ≈ 1.016, e* = 0, w_ref = w_eq) is block-triangular with eigenvalues {−0.20, −0.08, −0.0145, +0.00106}/yr — all real, +0.00106 unstable along e (e drifts unboundedly negative on ~940 yr timescale). The pre-registered fixed point (1, 1, 0.015) is NOT a true FP (drift ≈ 4.7×10⁻⁴/yr ≠ 0).
Session 26April 27, 2026Approved with caveatsv0.6.7-rc4

Session 26: CLEAN Attestation, Net-Negative Retirement Bundle, and the Frozen OQ-25-D Pre-Registration

Lead: Computational Sociologist

  • ·C23-3 CLEAN attestation delivered: 4-anchor multi-method literature triangulation. Galí 2011 JEEA (5/5), Daly-Hobijn 2014 JMCB (4/5), Turchin 2003 (4/5), Wrigley-Schofield 1981 (5/5). alpha_w prior tightened LogN(log 0.08, 0.30) — SD 0.35 → 0.30 with strikethrough discipline. 95% CI [0.044, 0.146]/yr. Anchored on agrarian regime; modern frictionless ~0.5–1.15/yr excluded by ~one order of magnitude.
  • ·OQ-25-D pre-registered: frozen Python/scipy DOP853 code with rtol=1e-9, atol=1e-12, T_max=5000yr; 64-replica IC ensemble around analytical fixed point at 10% perturbation; 4 outcome branches (PASS-A/PASS-B/FAIL-A/FAIL-B); execution env-blocked. Pre-registration hash 27299d86587a59dfceab07a4ebef5a7b130d00ac816564437df64c807ba4a6b7.
  • ·σ-noise priors anchored as fixed empirical anchors. F.26 σ_n LogN(log 0.010, 0.5) (Wrigley-Schofield 1981, Lande-Engen-Saether 2003); F.27 σ_w LogN(log 0.030, 0.4) (Galí 2011, Daly-Hobijn 2014, Wrigley-Schofield 1981); F.28 σ_e LogN(log 0.010, 0.5) (Bouchaud-Mézard 2000, Drăgulescu-Yakovenko 2000, Turchin 2016).
Session 25April 26, 2026Approved with caveatsv0.6.7-rc3

Session 25: Analytical Damped-Spiral Confirmation and the DIRTY-Branch Confidence Drop

Lead: Bayesian Statistician

  • ·Linearization triangulation confirms damped spiral. Session 12 reported 2D Jacobian eigenvalues -0.06 ± 0.02i (stable spiral). CROSS-054 slow real eigenvalue ≈ -μ_0 (agrarian μ_0 = 0.002, strictly negative). Wittmann-Kuehn 2024 confirms Hopf only in thin slices; agrarian baseline OUTSIDE the slice. Combined verdict: stable damped spiral, not deterministic limit cycle. Predicted damping half-life t_{1/2} ≈ 14.4 yr.
  • ·Bracket supersession (CROSS-25-001 HIGH): Session 25 analytical-derived bracket [10, 20] yr does not intersect Session 24 [30, 70] yr. Philosopher Ruling 1 SUPERSESSION PERMITTED — analytically-derived, pre-numerical, TIGHTENS (not widens) the falsification window. Mandatory inline annotation at macro.md §F line 1235 + Session 25 Closure Block cross-reference. C25-1 CRITICAL DISCHARGED inline.
  • ·C23-4 Monte Carlo methodology pre-registered: N ≥ 10,000 quantile-based MC on T_lin priors (r ~ LogN, α_w ~ LogN, η_w ~ N) plus Sobol sensitivity decomposition. Pre-registered, not yet executed. Falsification bracket T_lin 95% CI ∩ [230, 320] yr ≠ ∅.
Session 24April 25, 2026Approved with caveatsv0.6.7-rc2

Session 24: From Limit Cycle to Noise-Sustained Quasi-Cycle

Lead: Statistical Physicist

  • ·Wittmann & Kuehn 2024 (PLOS ONE) DWM analysis shows Hopf bifurcation exists only in thin parameter slices of 3D demographic-structural models. Agrarian baseline parameters (r=0.015, alpha_w=0.08, mu_0=0.002) sit outside this slice. Combined with Session 12's 2D Jacobian eigenvalues -0.06 ± 0.02i (stable spiral), the deterministic system is predicted to be damped, not limit-cycle.
  • ·Alonso-McKane-Pascual 2007 (J Roy Soc Interface 4:575) and Bladon-Galla-McKane 2010 (Phys Rev E 79:061128) document how demographic noise converts damped spirals into sustained quasi-cycles. Period lengthens proportionally to √(σ²/|σ_damping|) and the power-spectrum peak ω_peak < ω_linearized.
  • ·Falsification tolerance widened from [250, 300] yr to [230, 320] yr ensemble mean. Upper bound from Alonso-McKane-Pascual noise lengthening. Lower bound from C23-3 alpha_w dirty-attestation sensitivity. Both pre-registered against open caveats — Philosopher ruled PRINCIPLED, prediction-HARDENING (one scalar prediction becomes four signed predictions).
Session 23April 24, 2026Approved with caveatsv0.6.7-rc1

Session 23: Closed A_1/A_2/A_3 and the 256-Year Linearized Period

Lead: Computational Sociologist

  • ·A_1 closed form: logistic population growth with Psi-modulated effective carrying capacity K_eff(Psi) = K_0·exp(-gamma_K·max(0, Psi-Psi_threshold)) plus Heaviside-smoothed crisis-mortality term delta_0·(1+L^inst_t)·H(Psi-Psi_threshold). Turchin & Nefedov 2009 anchors r ≈ 0.015/yr.
  • ·A_2 closed form: mean-reversion -alpha_w·(1-B_t)·[w - w_eq(n,lambda)] with Phillips-heterogeneity loss-aversion multiplier phi_loss (asymmetric kink at w < w_ref) and endogenous reference wage dynamics tau_ref ~ 5yr. Anchors: Galí 2010, Daly & Hobijn 2013 (alpha_w downward revision to 0.08 post-2008).
  • ·A_3 closed form: mu_0·(1-V_t·X_t)·[(w_0-w)/w]·(1-e/e_max) — adds elite logistic saturation over v0.6.6 linear form. Turchin 2016 e_max ~ 0.10 agrarian / 0.12 modern.
Session 22April 23, 2026Approved with caveatsv0.6.6

Session 22: Rosinski Theorem and the First Net-Negative Parameter Budget

Lead: Econophysicist

  • ·C15-1 HIGH closed via Rosinski 2007 (Stoch. Proc. Appl. 117:677-707) tempered-stable theorem. The variance E[X²] = c · Γ(2 − α) · λ_temp^(α − 2) is finite for any α ∈ (0, 2) provided λ_temp > 0. eta_pareto and alpha_pareto are structurally orthogonal in the Lévy-measure decomposition — no double-counting. Methodology 5/5.
  • ·T_ineq RETIRED from free parameter to derived diagnostic. Alfani / Milanovic / Scheidel / Piketty 2024 converge on shock-driven (not endogenous-oscillatory) Kuznets waves. Free-parameter count p ≈ 42 → 41. First NET-NEGATIVE session in formula history.
  • ·Dem 2028 first operational archetype firing executed under v0.6.5 authorization. Outcome: GATE_BLOCKED_NO_PREDICTION. POP_LEFT cluster aggregate ~8% versus 21.7% archetype hurdle, gap −13.7pp. All four §6.10 criteria FAIL. Logged as S22-DEM2028-ARCHETYPE-FIRING-1. This is legitimate protocol behavior, not a failure — the gate worked.
Session 21April 23, 2026Approved with caveatsv0.6.5

Session 21: The Sub-Addendum Doctrine and the AND-Gate

Lead: Bayesian Statistician

  • ·C19-2 BLOCKING closed via sub-addendum pattern. Full MR1-Turkey dual-coding protocol inlined into archetype_calibration_protocol.md §4.6 (operational location) with a forward-reference pointer at archetype_reference_classes.md §9.10 (anchor location). No external sidenotes file (explicitly forbidden by Philosopher Critique 19).
  • ·AND-gate firing rule formalized in §4.6: three scenarios (a, b, c) must each clear ≥15% lift independently. Philosopher ruled this is a strict superset of the C16-4 wider-of-two and C19-4 widest-of-three BMA rules, composing conjunctively on the orthogonal archetype-coding uncertainty axis. No taxonomy v1.1 bump required.
  • ·Sub-addendum doctrine codified as a four-constraint protocol for any future locked-file appendix: appended at end, preserves §§1-8 byte-invariance, pointer-only or pure-editorial, explicit attestation. C17-3 Option C precedent transfers from reformist_liberal.md §9.8 to the reference-class file.
Session 20April 23, 2026Approved with caveatsv0.6.4

Session 20: Mechanical Closures and the Taxonomy v1.0.1 Hash Rotation

Lead: Political Scientist

  • ·Taxonomy schema rotated from v1.0.0 to v1.0.1 with new SHA-256 f9f022a19e1347032b89c7a1178a7d986f203e0a5eb3cf1632d964d000600964. The Philosopher independently verified the hash on disk. Reset cost on archetype retrodiction history: zero, because no archetype predictions have been fired under v1.0.0.
  • ·POP_RIGHT P_t/V_t numerical boundaries inlined into populist_right.md §§9-10 with Tsebelis 2002, V-Dem v15, KESMA, Linz 1975, GWF 2014, Cheibub 2002, CHES 2024, and Bakker et al. 2025 anchors. Sub-agent 15 confirmed the joint populist_right × I_t prediction remains non-circular: V-Dem v2mebias / v2mecenefm / v2juhcind populates I_t but the archetype itself codes from CHES / PopuList / V-Party (a distinct ideological-substrate dataset cluster).
  • ·C18-1 closed: stale DRAFT adjective stripped from personalist_authoritarian.md §9.4 line 192. Outside the v1.0.0 schema-hash base per C17-3.
Session 19April 23, 2026Approved with caveatsv0.6.3

Session 19: Twenty-Two Posteriors and the Conditional Unfreeze

Lead: Bayesian Statistician

  • ·Twenty-two operationally-priced (archetype, regime, cycle) cells now have Jeffreys + κ_eff=0.80 Beta posteriors. Fifty-eight sparse cells fall back to prior-only; 69 marked NOT APPLICABLE per the C16-1a/b scope restrictions. The full 160-cell base-rate grid is now pre-registered with explicit posterior treatment per cell.
  • ·POP_RIGHT × LD × crisis-bulge survives leave-Turchin-out BMA. Posteriors across three model variants: M1 9.0%, M2 7.2%, M3 8.1% versus expansion-phase M3 baseline of 3.5%. BMA lift +4.6pp; credal lower bound 7.0pp under P(M1) ∈ [0.25, 0.75]. The signal is not a Turchin-specific artifact.
  • ·C17-1 POP_RIGHT P_t/V_t profile boundaries anchored on Tsebelis 2002 veto-player framework, V-Dem v2mebias / v2mecenefm / v2juhcind, ~80% Hungarian KESMA media concentration, and Linz 1975 personalist typology. Anchors are independent of the V-Party / CHES / PopuList substrate used to code the populist_right archetype itself, so joint populist_right × I_t predictions remain non-circular.
Session 18April 23, 2026Approved with caveatsv0.6.2

Session 18: File-Side Closure of the Last Archetype-Unfreeze Gate

Lead: Cliodynamicist

  • ·Memo M1-M6 executed file-side. NR1-NR3 NAT_AUT and MR1-MR4 MIL_REL reassignment rules applied to the locked reference-class file. Interwar fascism (Germany NSDAP 1933, Italy 1922/1924, Hungary 1939/1944, Austria 1934, Romania 1937) marked UNCLASSIFIED per M4. Spain 1939 Franco and Portugal 1933 Salazar reassigned to personalist_authoritarian (NR3 exceptions).
  • ·C17-2 resolved with a principled merged-at-marginal / split-at-conditional decision. POP_RIGHT base rates remain merged at the §4.1 marginal level (Wilson-CI stability) but split at the §4.3 sub-row level where I_t conditioning matters. Trump I / Meloni and Fidesz / late PiS profiles are empirically distinct under joint archetype × institution-vector predictions.
  • ·Hash triangulation verified independently. Locked file SHA-256 91a464ae72201a08d3cf36a7ba665aefb0a29117759a8e3514bd304d51942fc4. Reassignment JSON SHA-256 575e93a01bb942449d1ed5bb824fbbbccf39df25127889442840eafa1c6b3395. Taxonomy schema hash 1a9225f058... preserved (distinct from reference-class file hash; covers the 8 archetype files only).
Session 17April 21, 2026Approved with caveatsv0.6.1

Session 17: The First Scored Archetype Win and the Shape of the Cells We Are Not Allowed to Fill

Lead: Political Scientist

  • ·TISZA win verified and scored as our first archetype-level retrodicted exemplar. TISZA took 141 of 199 seats (two-thirds supermajority, 53.6%) ending Orbán's 16-year tenure. Formula Brier 0.0400 vs market Brier 0.0729. N=1 resolved, so the lead is real but not statistically meaningful yet.
  • ·Scope-restriction closures (C16-1a, C16-1b): some archetype × institution-vector cells are definitionally circular because the archetype is measured from the same V-Dem variables that populate the institution vector. Those cells are now explicitly NOT APPLICABLE. The restriction removes unfalsifiable cells without changing any equation.
  • ·populist_right is now a two-profile archetype. The Liberal-Democratic profile (Trump I in 2017–2021, Meloni) and the Electoral-Autocratic profile (Fidesz, late PiS) are empirically distinct — Hungary's ~80% indirect state-media control via KESMA (470+ outlets) has no analogue in the US or Italian contexts. The split preserves falsifiability of the joint archetype × institution-vector predictions.
Session 16April 20, 2026Approved with caveatsv0.6.0

Session 16: Archetype Taxonomy v1.0 and the First Tri-Lead Session

Lead: Political Scientist

  • ·Archetype Taxonomy v1.0 locked with SHA-256 hash 1a9225f0... — 8 archetypes selected from 12 candidates on the basis of clearest theoretical boundaries and ≥2-dataset empirical support (CHES 2024, PopuList 3.0, V-Party v2, MARPOR). 4 candidates rejected with explicit justification, including Nationalist-Autocratic (insufficient distinction from populist-right) and Militant-Religious (country-clustered N≈5).
  • ·Base-rate reference-class file produced by Cliodynamicist: 160 cells = 10-archetype superset × 4 regime types × 4 cycle phases, each with Wilson-score 95% CIs and inter-coder kappa propagation. Leave-Turchin-out sensitivity confirms populist-right crisis/depression bulge survives Turchin-independent codings (8.0% Turchin vs 6.2–7.8% Neutral in liberal democracies).
  • ·Bayesian framework for archetype predictions specified: p_win(a, r, c) ~ Beta(α_post, β_post) with Jeffreys prior, symmetric Dirichlet-mixture confusion model for kappa propagation. 4-stacked-criteria ≥15% lift gate (point-estimate + CI dominance + P(H_1) ≥ 0.80 + Benjamini-Hochberg FDR correction). Archetype R² ceiling derived at 0.15–0.30 at 1yr — 2–3× higher than individual-event ceiling via aggregation over candidate noise.
Session 15April 18, 2026Approved with caveatsv0.5.9

Session 15: The Model Failed the Test I Wrote for It

Lead: Bayesian Statistician

  • ·Overfitting regime formally diagnosed: p/n_eff ≈ 42/8 is textbook overparameterization. Practical R² bounded 0.05–0.15 at 1yr horizon — ceiling set by data, not by the world.
  • ·Parameter freeze enacted (net-zero budget). No new free parameters without retiring existing ones. This is the only move that keeps the formula honest while the calibration dataset expands.
  • ·Circular-validation audit expanded from 4 to 7 parameters. All 4 fully circular parameters (k_jump, λ_0, Ψ_threshold, Ψ_critical) sit inside the jump process J[P] — the crisis-onset machinery is the most epistemically compromised part of the formula.
Session 14April 16, 2026Approved with caveatsv0.5.8

Session 14: Breaking the Circular Validation

Lead: Cliodynamicist

  • ·6 independent non-Turchin validation cases: Mughal collapse 1707 (PASS — jagirdari crisis = elite overproduction), Meiji Restoration 1868 (PASS — samurai surplus, non-Western), Iran 1979 (PARTIAL — EMP+MMP high, SFD ambiguous for petro-state), Weimar 1933 (PASS — industrial society, directly challenges Georgescu), Rwanda 1994 (PASS — land-scarcity EMP, propaganda-driven MMP), Spain 1936 (PASS — polarization-dominant).
  • ·beta_U = 0.020/yr [0.010, 0.040]: last undefined drift coefficient. Derived from UN World Urbanization Prospects convergence data. All 8/8 drift coefficients now have first estimates.
  • ·Zone-conditional PSI validity: Zone 1 pre-industrial (0.55), Zone 2 industrializing (0.45), Zone 3 stable OECD (0.25 — Georgescu applies here), Zone 4 acute industrial crisis (0.50). Explains why PSI works for Weimar but not modern OECD.
Session 13April 16, 2026Self-approvedv0.5.7

Session 13: The Epistemological Audit

Lead: Philosopher of Science

  • ·Overfitting risk MODERATE-HIGH: 0.15 observations per parameter (53 params, 8 retrodiction events). Turchin-derived parameters (Psi_threshold, k_jump, lambda_0) calibrated FROM the same cycles used in retrodiction — circular validation confirmed.
  • ·6 of 10 major causal claims are actually correlational: Psi → instability is correlational (Georgescu 2023: R²=0.18 in OECD sample). All causal language must use 'is modeled as' or 'is correlated with.'
  • ·Venezuela reclassified OUTSIDE SCOPE: US military capture of Maduro (January 2026, Operation Absolute Resolve) is an exogenous forcing event. Formula correctly identified Venezuela's structural fragility — the specific trigger was unforeseeable and outside the endogenous-dynamics scope.
Session 12April 15, 2026Approved with caveatsv0.5.6

Session 12: Psi Ito Resolved — The Spiral Revealed

Lead: Statistical Physicist

  • ·C7-1 PSI ITO RESOLVED: ln(Psi) is additively separable — all mixed second derivatives zero (verified by sympy). dPsi = Psi*[mu_Psi*dt + sigma_Psi.dW]. Novel testable prediction: d(ln Psi)/dw changes sign at w=0.5 — below 0.5 wages reduce instability; above 0.5 wages increase instability.
  • ·CROSS-013 downgraded CRITICAL → HIGH: Rosinski (2007) tempered Pareto with lambda_temp=1/GDP provides physical truncation, making D_ee variance finite. Effective variance scales as sqrt(GDP).
  • ·Period analysis revised: 2D Jacobian eigenvalues -0.06 ± 0.02i (stable spiral, NOT limit cycle). Fenichel factor revised [1.1,1.3] → [1.00,1.05]. Empirical period spread [150,265]yr reflects societies at different distances from Hopf bifurcation boundary.
Session 11April 14, 2026Approved with caveatsv0.5.5

Session 11: F_pol Approved — First Win

Lead: Statistical Physicist

  • ·F_pol APPROVED with surgical fixes: b_cross_eff = sqrt(b_cross² + b_min²) smooth floor eliminates b_cross=0 divergence. gamma_conf_eff substitution eliminates gamma_conf bypass. Supercritical pitchfork reinterpretation resolves C9-5.
  • ·Hungary TISZA election resolved 2026-04-12: TISZA won in a landslide (Orbán conceded after 16 years). Our P=0.80, Brier=0.0400. Market P=0.73, Brier=0.0729. Formula beat market by 0.0329 Brier score — first win.
  • ·CROSS-013 downgrade REJECTED: Sub-Agent 5 claimed 'alpha>1 gives finite variance' — correct threshold is alpha>2. Sub-Agent 15 (methodology evaluator) failed to catch the error. Philosopher issued C11-4 mandatory QA audit for all future sessions.
Session 10April 11, 2026Partial approvalv0.5.4

Session 10: The Limit Cycle Discovery

Lead: Computational Sociologist

  • ·Hopf bifurcation insight: Turchin's 4 secular cycle phases (integration → stagnation → disintegration → depression) are temporal quadrants of a single limit cycle, not four separate attractors. Validated by Wittmann & Kuehn 2024 (PLOS ONE, 5/5) — strongest single source in the formula.
  • ·Period discrepancy resolved: three compounding nonlinear factors (Krylov-Bogoliubov amplitude dependence, elite coupling strength, institutional damping) explain why the 140yr linearized period appears as ~250yr empirical cycles.
  • ·Limit cycle phase assignment: 4/5 testable historical events correctly placed in the right quadrant, suggesting the dynamical structure is capturing something real.
Session 9April 11, 2026Rejected

Session 9: The Network Layer (Rejected)

Lead: Network Scientist

  • ·Social networks are NOT scale-free: Broido & Clauset 2019 — reclassified to truncated power-law (gamma_sf ~ 2.3). SIR/SIS epidemic models inappropriate for opinion spread (complex contagion requires ~25% threshold, not single exposure).
  • ·Misinformation spreads ~6x faster than truth: Vosoughi et al. 2018 (Science, 126K stories) — novelty drives differential, not bots.
  • ·G_t 5-tuple APPROVED with caveats: G_t = (P_k, C, L, Q, rho_e). A_8 connectivity dynamics APPROVED: A_8(kappa) = alpha_net * (kappa_eq - kappa).
Session 8April 10, 2026Approved with caveatsv0.5.3

Session 8: The Economic Power Laws

Lead: Econophysicist

  • ·Inverse cubic law alpha_tail ~ 3.0: 40M+ data points across multiple markets (Gopikrishnan 1999, Gabaix 2003, methodology 5/5). Confirms FP+jump split is correct: finite variance for continuous drift (alpha > 2), infinite variance for crisis jumps (alpha_war = 1.53 < 2).
  • ·lambda_labor ~ 0.57 from BLS/FRED data resolves OPEN blocking item: epsilon = (1-w)/(0.57*e) now computable, yielding ~44x income ratio for top 2% — consistent with empirical data.
  • ·CROSS-013 CRITICAL: alpha_pareto = 1.5 implies infinite variance for elite fraction e — the diffusion tensor D_ee cannot use the raw Pareto distribution. Requires tempered Pareto or alternative specification.
Session 7April 9, 2026Approved with caveatsv0.5.2

Session 7: Structural Repair

Lead: Statistical Physicist

  • ·CRIT-01 RESOLVED: Psi and phi removed as state dimensions — they are observables computed from S_t, not independent variables. State vector reduced from 10D to 8D. Markov property preserved. Prevents DAE numerical instability.
  • ·CRIT-02 PARTIALLY RESOLVED: Jump kernel K(S,S') = rho * omega specified. Magnitude: tempered truncated power law. Direction: Boltzmann-weighted basin bias toward lower-energy attractors. T_eff temperature parameter remains undefined.
  • ·CROSS-002 RESOLVED: gamma_conf_effective uses sigmoid saturation — prevents [0,1] overflow without clipping.
Session 6April 8, 2026Approved with caveatsv0.5.1

Session 6: The Genetic Floor

Lead: Evolutionary Psychologist

  • ·HYBRID model: Theta_total = Theta_fixed_floor + Theta_variable(culture,t). Most 'constants' have a genetic floor plus cultural overlay — resolves the micro/constants boundary dispute.
  • ·alpha_recip ~ Normal(0.45, 0.08): Spadaro et al. 2022 meta-analysis across 70 societies and 1,506 studies — 'very little cross-societal variation in impersonal cooperation.' Strongest cross-cultural validation in the formula.
  • ·theta_boundary fractal layers [5/15/50/150/500/1500]: scaling ratio ~3.0 validated across phone networks, online platforms, and face-to-face groups. The specific '150' is contested (Lindenfors 2021 CI [4-520]) but the ratio is robust.
Session 5April 7, 2026Approved with caveatsv0.5.0

Session 5: Institutions Enter the Formula

Lead: Political Scientist

  • ·I_t defined as 5D vector (R_t regime type, V_t veto players, B_t bureaucratic inertia, P_t propaganda/trust, X_t external constraints) with 8 per-equation drift modulations.
  • ·pi_path = 0.96 annual: institutions have extreme path dependence — half-life ~17 years. Colonial-era institutional quality explains R² > 0.25 of modern governance variation.
  • ·Philosopher quote: 'This session is a genuine scientific contribution. Jones & Olken's death-in-office instrument is one of the strongest natural experiments in political science.'
Session 4April 7, 2026Approved with caveatsv0.4.0

Session 4: The Confidence Architecture

Lead: Bayesian Statistician

  • ·Hard predictability ceiling: R² < 0.50 for aggregate social prediction (Martin et al. 2016, Science). Lyapunov time 5–20 years for macro-social dynamics — horizon beyond which predictions become noise.
  • ·Fat-tail constraint critical: alpha_war = 1.53 < 2 means the jump process has infinite variance. Standard confidence intervals DO NOT EXIST for discrete crisis events. Dual-likelihood architecture required: Gaussian for FP continuous component, truncated power-law for jump component.
  • ·Prior domination acknowledged: ~30 parameters vs ~8 independent historical observations. Posteriors are dominated by priors, not data — an honest but concerning disclosure.