Replication Data for: Discovery of a Universal Trust Threshold at τ* = 0.68 in Community-Level Cooperation - Evidence from 1,225 Organizations and Validation Across All 217 Countries (1972-2024)
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This repository contains the complete replication materials for the discovery of a universal trust threshold at τ* = 0.68 (95% CI: 0.674-0.686) that governs phase transitions in community-level cooperation. KEY FINDING: We identify a mathematical constant in human social behavior - a critical trust threshold at τ* = 0.68 that triggers discontinuous phase transitions from individual to collective behavior in community-based organizations. DATASET: - 1,225 community-based organizations from 24 countries (primary discovery)- 142,100 households tracked over 52 years (1972-2024) - Quarterly trust measurements for 79 organizations- Global validation across ALL 217 countries using World Bank Governance Indicators and World Values Survey data UNIVERSAL VALIDATION:- Threshold validated across all 217 countries globally- Remains constant across cultures, continents, and time periods- Robust to controls for cultural dimensions (Hofstede), ethnic fractionalization (Alesina), legal origins (La Porta), democracy indices (Freedom House, Polity V), and colonial history (CEPII)- Continental estimates all within 1.5% of global mean (Africa: 0.676, Asia: 0.681, Latin America: 0.673, Europe: 0.685, North America: 0.678, Oceania: 0.682)- Only Norway among all 217 nations exceeds τ* = 0.68 at national level PHASE TRANSITION EVIDENCE:- 5.1 percentage point discontinuous jump in retention at threshold- 23.2% increase in voluntary contributions above τ* = 0.68- Treatment effectiveness: 44% of treated organizations crossed threshold vs 25.9% control REPOSITORY CONTENTS:- 00_RAW_DATA: Original datasets including control variables for 217 countries- 01_PRIMARY_DATA: 1,225 organizations dataset- 02_TRUST_METRICS: Detailed trust measurements for 79 organizations- 03_ANALYSIS_RESULTS: Phase transition and threshold analyses- 04_TABLES: Paper tables- 10_SUPPLEMENTARY: Additional materials including 217-country validation This discovery reveals a fundamental mathematical law governing human cooperation at community scale (50-5,000 members), validated globally across all 217 countries. The threshold represents a universal constant in social physics, analogous to critical points in physical phase transitions.



