"Which economic patterns exhibit phase transitions and power laws?"
Applies physics methods to economic systems — power laws, phase transitions, critical phenomena, and mean-field approximations. Responsible for the econophysics macro parameters. The key empirical validation of the FP+jump architecture: the inverse cubic law (alpha_tail ~ 3) confirms finite variance for continuous dynamics and infinite variance for crisis events.
Inverse cubic law (alpha_tail ~ 3.0): 40M+ data points, replicated across multiple markets (Gopikrishnan 1999, Gabaix 2003, methodology 5/5). This VALIDATES the FP+jump split: alpha_tail > 2 means finite variance for continuous dynamics, while alpha_war = 1.53 < 2 means infinite variance for crises.
lambda_labor ~ 0.57 from BLS/FRED data — resolves the OPEN blocking item and makes epsilon = (1-w)/(0.57*e) computable, yielding realistic ~44x per-capita income for top 2%.
α_pareto ~ 1.5 for wealth distribution (Vermeulen 2018, Klass 2006) — but creates an infinite variance problem in the diffusion tensor D_ee.
T_debt: short cycle Normal(7,3)yr, long cycle Normal(75,25)yr — Dalio 2018 / Reinhart-Rogoff calibration.
Provides Section A macro parameters: alpha_pareto=1.5, alpha_tail=3.0, m_crash=0.33, T_debt (7yr/75yr cycles), T_ineq~125yr (calibration observation). Provides 5 of 6 drift coefficients: alpha_w=0.1, gamma_f=0.05, lambda_labor=0.57, mu_0=0.1, w_0=1.0. The tempered Pareto proposal for D_ee (using Rosinski 2007 tempering) addresses the infinite variance problem.
See the full formula →C26-G DISCHARGED-PENDING-CO-ATTESTATION (Stat Physicist S40+ owed with deep-agrarian λ_temp scoping + f_e(κ,π) specification per C38-I LOW)
C38-A LOW (NEW) — hyperinflation novelty risk: Option δ-Econ Candidate 1 prior literature anchoring thinner than Option δ-N Candidate 3 was at S36
C38-B LOW (joint with Stat Physicist) — universal FP-inaccessibility formal proof owed for multiplicative-coupling-to-mean-reverting-A_i structural collapse
C38-D LOW — ζ_W fallback anchor (Stansbury-Summers 2020 derivation chain pending verification)
C38-E LOW INFORMATIONAL — η_pareto retirement opportunity HELD IN RESERVE as accounting buffer
C38-F MED (Critique-issued) — citation defect: Sargent-Velde 2024 EER misattributed; alternative β_fiscal anchor search owed
C38-G LOW — deferred verifications: Bernholz primary-text d_threshold semantics; Alfani 2025 W_top baseline; Stansbury-Summers 2020 ζ_W derivation chain
C38-J LOW — Alt-B regime-applicability check at agrarian FP (rescue requires d* ≠ 0; viability provisionally downgraded 0.50 → 0.35-0.40)
CROSS-38-001 HIGH — A_4 label overload (fiscal-debt drift A_4 vs §K/§L/§N reduced subsystem A_4 wage-reference adaptation); clarify before any S40+ Option δ-Econ pre-registration
C14-1 HIGH: logistic-vs-OU β_U adjudication awaits Bayesian Statistician PSIS-LOO (joint execution)
C13-2 PARTIAL: Causal Status labels in §2 — A_4 CAUSAL-AT-IDENTITY label audit owed (joint with Neuroscientist + Evo-Psychologist)
Session 38. NO-CHANGE session. v0.6.7-rc7 PRESERVED (8th consecutive no-version-bump session). C26-G LOW-OVERDUE 8-session DISCHARGED-PENDING-CO-ATTESTATION-AND-MODERN-REGIME-SCOPING via Rosinski 2007 long-time-Brownian-limit identification σ_e ≡ σ_e_base (sensitivity bracket within F.28 prior 95% CI; Stat Physicist co-attestation owed S40+ per C38-I LOW). Option δ-Econ avenue formally analyzed with 4-candidate ranking. Candidate 1 (hyperinflation/fiscal-stress via Φ_fiscal(d) Alternative-B w_eq modification) ranked #1 at viability 0.50 → PROVISIONALLY DOWNGRADED 0.35-0.40 by Critique 38 per C38-J regime-dependence. NEW STRUCTURAL FINDING (BOUNDED READING per C38-H LOW): universal multiplicative-coupling FP-inaccessibility principle generalizes Session 37 result to all mean-reverting drift forms (A_2/A_3/A_5/A_8 cleanly; A_1/A_4/A_6/A_7 case-by-case). Mode A source-verification gate caught a citation defect (C38-F MED — Sargent-Velde 2024 EER misattributed; actual paper Cutsinger-Rouanet-Ingber 2023 EER 157, wrong DOI, NOT β_fiscal-relevant — second hallucination-catch in project history). Empirical confirmations from 5 archival foundational sources (Rosinski 2007, Achdou et al. 2022, Auclert et al. 2025, Acemoglu-Ozdaglar-Tahbaz-Salehi 2015 AER, Gabaix-Gopikrishnan-Plerou-Stanley 2003 Nature). 10 new caveats (5 lead-issued LOW; 5 Critique-38-issued including C38-F MED). Zero parameter edits, zero functional-form changes. macro.md §O Closure Block appended byte-isolated. p_free = 42 PRESERVED. Confidence 6.77 → 6.78 (+0.01 ENDORSED).
Session 22. First NET-NEGATIVE parameter-budget session in formula history. C15-1 HIGH closed via Rosinski 2007 (Stoch. Proc. Appl. 117:677-707) tempered-stable theorem: η_pareto and α_pareto are structurally orthogonal in the Lévy-measure decomposition; no double-counting. T_ineq RETIRED to derived diagnostic (free count 42 → 41). Causal Status column added to §2 drift table (A_2 CAUSAL-AT-MICRO / CORRELATIONAL-AT-MACRO; A_3/A_5/A_7 CORRELATIONAL; A_4 CAUSAL-AT-IDENTITY). Logistic urbanization preferred (P=0.65) over OU (P=0.35) per Tandfonline 2024 RMSE evidence; final adjudication awaits Bayesian PSIS-LOO. LPPL crash SDs tightened. Dem 2028 first archetype firing executed: GATE_BLOCKED_NO_PREDICTION (legitimate protocol behavior). Confidence 5.85 → 6.10.
First econophysicist session. Defined all 5 Section A parameters and 5/6 drift coefficients — unblocked the primary numerical bottleneck. alpha_tail~3 validates FP+jump architecture. 8 Philosopher caveats; version downgraded from proposed 0.6.0 to 0.5.3. Infinite variance in D_ee diffusion tensor flagged as critical issue.