Cambridge Governance Labs

Political Topology Project

Freedom, Tyranny, and the Mathematics of Democratic Collapse — A quantitative framework spanning 91 countries, 225 years, and 1,656 observations
48
Global Mean
Liberty Score
34%
Countries
Rated "Free"
19
Consecutive Years
of Decline
3.0%
Recovery Rate
Below L=52

Research Downloads & Dataset Access

All publications are available in HTML and PDF. The Political Topology dataset spans 91 countries, 225 years (1800–2025), and 1,656 country-year observations, crosswalking Freedom House, V-Dem, Polity IV/V, and the Fragile States Index.

Complete Book (PDF)

Full volume — 6 parts, all appendices. ~112 MB

Dataset Documentation (A07)

Construction, sources, and validation of the 225-year governance panel

Methodology Guide (M11)

How we measure freedom: ternary phase space, data sources, statistical methods

Global Liberty Report 2025 (M01)

Country rankings, regional profiles, velocity-of-decline analysis
Academic Papers (PDF)

A01 — Tristable Dynamics

A02 — Event Horizon

A03 — Great Decoupling

A04 — Governance & Yields

A05 — Eight-Stage Erosion

A06 — Path Dependence

A07 — Dataset

A08 — Autocrat Survival

A09 — Capabilities Index

A10 — Reserve Currency

A11 — Liberty Factor

A14 — Resource Curse

NEW
Media Publications (PDF)

M01 — State of Global Liberty

M02 — The Great Decoupling

M03 — Eight Steps to Tyranny

M04 — Bond Vigilantes

M05 — American Exception

M06 — Autocrat's Calculus

M07 — Atlas of Freedom

M08 — Regional Deep Dives

M09 — China Nexus

M10 — Thesis Audit

M11 — Methodology

M12 — Credit Market Note

Data Sources

Built from: Freedom House · V-Dem · Polity IV/V · Fragile States Index · World Bank · UNDP · IMF

Book

Political Topology: The Complete Volume

B1

Political Topology: Freedom, Tyranny, and the Mathematics of Democratic Collapse

The complete compiled volume presenting a data-driven analysis of political freedom using the LTC (Liberty-Tyranny-Chaos) model across 91 countries and 225 years. Spans from theoretical framework through empirical evidence, credit market analysis, the American case study, and a rigorous self-audit. Published as a working draft by Cambridge Governance Labs, February 2026.

Keywords: political topology, democratic collapse, LTC model, liberty index, governance data, Cambridge Governance Labs

Book Chapters

Part I: The Framework

The Tristable Basin, Event Horizon, Eight Steps to Tyranny, and Methodology

Establishes the LTC coordinate system where Liberty + Tyranny + Chaos = 100, identifying three attractor basins (democratic at μ=82, hybrid at μ=48, autocratic at μ=18). Defines the critical L=52 event horizon below which democratic recovery drops to 3.0%, and maps the eight sequential steps of institutional decay.

Keywords: tristable basin, event horizon, attractor basins, eight steps to tyranny, LTC model, democratic erosion
Part II: The Evidence

225 Years of Data, The Great Decoupling, Atlas, and Regional Deep Dives

Presents the empirical core: 225 years of governance data documenting the post-1945 expansion, post-1989 wave, and contraction since 2006. Reveals that 39 capable autocracies now match the count of free-and-capable states. Includes fourteen maps of human liberty and seven regional cluster analyses.

Keywords: democratic decline, great decoupling, capable autocracies, freedom data, regional analysis, democratization waves
Part III: Markets and Money

Bond Vigilantes, Game Theory, Roads to Default, and the Sovereign Credit Model

Demonstrates that bond markets lag governance decline by a median of 4.7 years, with 62% of episodes showing wrong-directional yield responses. Each one-point Liberty decline corresponds to a 35-basis-point yield increase (β=−0.35, R²=0.37). Presents a four-factor sovereign credit model.

Keywords: sovereign credit, bond vigilantes, governance-yield regression, credit market lag, sovereign default, regime velocity
Part IV: The American Case

The American Exception, Velocity of Decline, Scenarios, and Counter-Arguments

Applies the full framework to the United States, documenting its trajectory from a Liberty peak of 94 (~2010) to contested decline, with estimates ranging from L=48 (Political Topology Index) to L=84 (Freedom House). Measures institutional erosion velocity at −9.2 points/year (2020–2025) and constructs forward-looking scenario projections.

Keywords: American democracy, democratic backsliding, United States, institutional erosion, V-Dem, Freedom House
Part V: The Audit

What Survived Scrutiny, What Was Refuted, Recalibration, and What Comes Next

Subjects the book's own claims to a four-phase, twenty-task audit. Of twelve quantitative claims tested: 4 confirmed (dataset, liberty-yield relationship, Great Decoupling, AR(1) persistence), 5 refuted (specific numerical calibrations), and 3 partially valid. The conceptual architecture survived; specific numbers required correction.

Keywords: audit, stress testing, recalibration, reproducibility, quantitative verification, scientific integrity
Front & Back Matter

Supporting Material

Front matter includes executive summary, table of contents, and reading guide. Back matter contains technical appendices covering GMM estimation, Langevin SDE, AR(1) persistence modeling (β=0.96, R²=0.87), survival analysis, the four-factor sovereign credit model, Human Capabilities Index construction, bibliography, and index.

Keywords: technical appendix, Gaussian mixture model, Langevin equation, statistical methods, bibliography
Academic Papers

Working Paper Series

A01 · CGL-PT-A01

Tristable Dynamics in Political Regime Space: Evidence from a Ternary Phase Model of 91 Countries, 1800–2025

Introduces the ternary LTC (Liberty-Tyranny-Chaos) phase space model where L+T+C=100. Uses Gaussian Mixture Model analysis across 1,656 country-year observations to identify three stable attractor basins (democratic at μ=82, hybrid at μ=48, autocratic at μ=18), demonstrating that political regimes are tristable rather than bistable. Fits a Langevin stochastic differential equation to model transitions between basins.

Keywords: tristable dynamics, ternary phase space, Gaussian mixture model, Langevin SDE, attractor basins, regime transitions, political topology, comparative politics
A02 · CGL-PT-A02

The Democratic Event Horizon: A Critical Threshold Model of Institutional Recovery

Identifies a critical Liberty threshold at approximately L=52 below which the probability of democratic recovery drops to 3.0%. Analyzes survival curves of regime episodes to establish that once countries cross this threshold, the gravitational pull toward autocratic consolidation becomes nearly irreversible without exogenous intervention.

Keywords: event horizon, critical threshold, democratic recovery, institutional collapse, survival analysis, tipping point, regime persistence
A03 · CGL-PT-A03

The Great Decoupling: When Capability No Longer Equals Freedom

Documents the historically unprecedented divergence between state capability and political freedom. The correlation between liberty and capability has declined from 0.79 (pre-1900) to 0.57 (2025), with 39 countries now qualifying as "capable autocracies" — states with high institutional effectiveness but Liberty scores below 35 — matching the count of free-and-capable states for the first time.

Keywords: great decoupling, capable autocracies, state capacity, institutional effectiveness, liberty-capability correlation, authoritarian modernization
A04 · CGL-PT-A04

Governance Quality and Sovereign Bond Yields: A Cross-Sectional Analysis of 91 Countries

Estimates the relationship between institutional quality and sovereign borrowing costs. The bivariate specification finds β=−0.35 per Liberty point (R²=0.37); the four-factor model incorporating liberty, debt-to-GDP, reserve currency status, and regime velocity achieves R²=0.79. Documents a median 4.7-year lag between governance decline and credit market repricing.

Keywords: governance-yield regression, sovereign bonds, credit risk, institutional quality, bond yields, market efficiency, repricing lag
A05 · CGL-PT-A05

The Eight-Stage Model of Democratic Erosion: Sequential Institutional Decay from Media Capture to Electoral Manipulation

Maps the sequential pathway through which democracies decay, identifying eight ordered stages from media capture and civil society restriction through judicial subordination to electoral manipulation. Demonstrates that inter-step intervals accelerate as erosion progresses, with early stages providing the longest window for intervention.

Keywords: democratic erosion, eight stages, institutional decay, media capture, judicial independence, electoral manipulation, sequential model, backsliding
A06 · CGL-PT-A06

Path Dependence and Persistence in Political Regime Dynamics: AR(1) Evidence Across 225 Years

Demonstrates extreme persistence in political regime trajectories using autoregressive modeling. The AR(1) coefficient of β=0.96 (R²=0.87) shows that a country's Liberty score is overwhelmingly determined by its prior-year score, implying that regime change is rare and regime persistence is the dominant dynamic in political systems.

Keywords: path dependence, persistence, autoregressive model, regime dynamics, AR(1), institutional inertia, political stability
A07 · CGL-PT-A07

The Political Topology Dataset: Construction, Sources, and Validation of a 225-Year Governance Panel

Documents the construction and validation of the Political Topology dataset spanning 91 countries, 225 years, and 1,656 country-year observations. Details source crosswalking between Freedom House, V-Dem, Polity IV/V, and the Fragile States Index, including methods for historical imputation and inter-source calibration.

Keywords: dataset, panel data, Freedom House, V-Dem, Polity, data construction, crosswalk, validation, governance measurement
A08 · CGL-PT-A08

The Autocrat's Survival Function: Selectorate Theory, Winning Coalitions, and Regime Duration in 157 Episodes

Analyzes autocratic regime survival using selectorate theory and survival analysis across 157 regime episodes. Examines how winning coalition size, resource rents, and institutional design affect regime duration. Finds that small-coalition regimes optimize for loyalty over competence, creating a performance-legitimacy trap that makes them fragile to economic shocks.

Keywords: autocrat survival, selectorate theory, winning coalition, regime duration, survival analysis, resource rents, authoritarian resilience
A09 · CGL-PT-A09

The Human Capabilities Index: A Composite Measure of State Effectiveness Independent of Political Freedom

Constructs a composite index measuring state capability — education, health, infrastructure, institutional effectiveness — independently of political freedom. Enables the identification of "capable autocracies" and "fragile democracies" by orthogonalizing capability from liberty, revealing the Great Decoupling in quantitative terms.

Keywords: human capabilities, state capacity, composite index, HDI, institutional effectiveness, capable autocracy, development measurement
A10 · CGL-PT-A10

Reserve Currency Status and the Mispricing of Democratic Erosion: Evidence from US Treasury Markets

Investigates why US Treasury yields fail to reflect democratic erosion visible in governance indices. The four-factor model (R²=0.79) suggests the US is mispriced by approximately 650 basis points. Reserve currency status accounts for ~2,080bp of yield compression. Historical analysis of the sterling-to-dollar transition (1914–1956) suggests reserve premia erode over 15–30 years.

Keywords: reserve currency, safe assets, democratic erosion, sovereign credit risk, Treasury yields, exorbitant privilege, mispricing, governance premium
A14 · CGL-PT-A14  NEW

The Resource Curse as Tyranny Attractor: Natural Resource Concentration, Patronage Networks, and Democratic Failure in the LTC Framework

Integrates the resource curse literature (Ross, Karl, Auty) with the LTC framework and selectorate theory (Bueno de Mesquita et al.) to demonstrate that natural resource concentration functions as a tyranny attractor. Resource-dependent countries (rents >15% GDP) have a mean Liberty score of 28 versus 58 for non-resource states, and recovery rates from below L=52 drop to 1.2%. Formalizes the resource effect as a downward drift term in the Langevin SDE governing regime transitions, operating through three channels: fiscal independence from taxation, patronage-funded winning coalitions, and resource-financed coercive capacity.

Keywords: resource curse, tyranny attractor, rentier state, selectorate theory, winning coalition, patronage, oil curse, natural resources, Dictator's Handbook, LTC model, democratic failure
Media Publications

Research Briefs and Visual Reports (M01 through M12)

M01

The State of Global Liberty 2025

A comprehensive quantitative assessment of democratic health across 91 countries. Features the global picture at a glance (mean Liberty score of 48, 34% of countries rated "free," 19 consecutive years of decline), 225-year historical context, regional profiles for seven world regions, velocity-of-decline analysis, the tristable basin model, and country spotlights.

Keywords: global liberty, democratic health, freedom assessment, regional analysis, liberty score, 2025, country rankings, political freedom
M02

The Great Decoupling

Explains why capability no longer equals freedom and what it means for 4.5 billion people living under capable autocracies. Documents the correlation breakdown (0.79 historically to 0.57 today), maps the four quadrants of the liberty-capability space, traces four country trajectories, and poses five questions for the post-decoupling world.

Keywords: great decoupling, capable autocracies, liberty-capability correlation, state capacity, authoritarian modernization, four quadrants
M03

Eight Steps to Tyranny

A visual guide to the sequential pathway of democratic erosion, from media capture through civil society restriction, judicial subordination, and electoral manipulation. Maps the accelerating inter-step intervals and identifies warning signs at each stage.

Keywords: democratic erosion, eight steps, tyranny, institutional decay, media capture, warning signs, authoritarian playbook
M04

Bond Vigilantes: When Markets Sleep

Examines why sovereign credit markets systematically fail to price democratic erosion, documenting the 4.7-year median lag and 62% wrong-directional yield response rate. Shows how bond markets effectively subsidize autocratization by maintaining cheap borrowing for deteriorating regimes.

Keywords: bond vigilantes, sovereign credit, market discipline, governance lag, yield mispricing, democratic erosion, credit markets
M05

The American Exception

Applies the political topology framework to the United States, documenting the trajectory from peak Liberty (L=94) to contested decline. Examines the 36-point spread between the most alarming (L=48) and most conservative (L=84) estimates, and assesses what makes the American case historically unprecedented among consolidated democracies.

Keywords: American exception, US democracy, democratic backsliding, liberty score, institutional decline, United States, democratic erosion
M06

The Autocrat's Survival Calculus

Explores the economics and game theory of staying in power, drawing on selectorate theory across 157 regime episodes. Explains how dictators optimize tenure by managing winning coalitions, why resource rents enable repression, and what capital flight signals reveal about regime fragility.

Keywords: autocrat survival, selectorate theory, game theory, winning coalition, capital flight, regime fragility, dictator optimization
M07

Atlas of Political Freedom

A cartographic companion presenting fourteen maps of human liberty across the full 225-year dataset. Visualizes the geographic distribution and evolution of political freedom, tyranny, and chaos, showing how regional clusters form and shift over time.

Keywords: atlas, maps, political freedom, geographic distribution, liberty visualization, regional patterns, cartography
M08

Regional Deep Dives

Examines seven regional clusters and their distinct governance trajectories: Western Europe, Eastern Europe and post-Soviet states, East Asia, South and Southeast Asia, Latin America, Sub-Saharan Africa, and the Middle East and North Africa. Each region features unique dynamics and path dependencies.

Keywords: regional analysis, governance trajectories, Western Europe, Eastern Europe, East Asia, Latin America, Africa, Middle East
M09

The China Governance-Debt Nexus

A case study of China as the paradigmatic capable autocracy, analyzing the intersection of high state capacity (L=5, T=87, C=8), rapid debt accumulation, and the performance-legitimacy trap. Examines how China's governance model challenges the assumption that development requires democratization.

Keywords: China, governance-debt nexus, capable autocracy, state capacity, performance legitimacy, debt, authoritarian development
M10

Thesis Audit

A public summary of the book's self-audit: 4 claims confirmed, 5 refuted, 3 partially valid. Demonstrates the project's commitment to intellectual honesty by publishing which of its own quantitative claims survived rigorous scrutiny and which required correction or retraction.

Keywords: thesis audit, self-critique, scientific integrity, reproducibility, claims verification, intellectual honesty
M11

Political Topology: How We Measure Freedom

A methodology guide explaining the quantitative framework, data sources, models, and known limitations behind the Political Topology Index. Covers the ternary phase space concept (the "marble on a contoured landscape" metaphor), measurement strategy for L/T/C components, data source integration, and statistical methods.

Keywords: methodology, measurement, ternary phase space, data sources, Freedom House, V-Dem, Fragile States Index, quantitative framework
M12

Sovereign Credit Market Note

An investor-oriented brief presenting the four-factor sovereign credit model and its implications for portfolio positioning. Translates the academic governance-yield findings into actionable market intelligence, highlighting the 3–12 year repricing lag as both a systemic risk and an investment opportunity.

Keywords: sovereign credit, market note, investment implications, governance risk, credit model, portfolio positioning, yield forecasting