Geopolitics through the Persistence Ratio

These notes apply the Fractal Persistence Equation (FPE) to nation-states and the international system. The question is the same one we ask of cells, companies, and minds: what is it like to be an information-persisting system that is learning to survive in a noisy environment full of competitors? Only the scale changes.

The frame is not moral. It is accounting. A state persists if and only if \(\mathcal{R} \ge 1\); everything else (regime type, ideology, flags) is implementation detail under that constraint.

For the underlying physics see:

The three observables we keep tracking

For every actor we ask:

  1. \(P_{in}\) — how much energy do they harvest? Continuous primary power in terawatts. Sets the ceiling on everything else.
  2. \(\mathcal{D}_{KL}\) — how delusional are they? How big is the gap between the regime’s working model of reality and reality itself?
  3. \(\Phi\) — what are they made out of? People (age, education, fertility), land, freshwater, soil, grid, factories, social trust. The substrate the rest runs on.

Plus the slower-moving ones — \(\omega\) (bureaucratic complexity), \(\Gamma\) (unresolved-conflict set), \(\Psi\) (alliance / world-system shelter).

Bridge from psychology and sociology

Topic File
Fractal layers — body, self, family, society, state ../fractal_layers.md
Sociology — middle layers between agent and state ../sociology/README.md

Essays

Topic File
Mapping the FPE to nation-states framework.md
Democracy, dictatorship, and Persistence-Based Governance (the FPE-optimal third regime; mechanism: Predictive Governance) democracy_vs_dictatorship.md
Persistence-Based Governance ↔︎ Proof of Trust (software bridge) predictive_governance_and_pot.md
Replacing currency with the trustworthiness token ../trustworthiness_token.md
The United Nations as \(\Psi\)-shelter united_nations.md
United States usa.md
European Union eu.md
Russia russia.md
China china.md
Africa africa.md
The third world (the rest) third_world.md
Cross-power comparison table comparison.md
Empire collapse hypothesis (Rus / Chn / US proximity) empire_collapse_hypothesis.md
Globalization as redundancy trade-off (\(\Phi\) topology) ../economics/globalization_and_redundancy.md

Headline numbers (rough, 2024–25)

Actor Pop. (M) Primary power \(P_{in}\) (TW) Per-capita (W) TFR Net food Reserve \(\Psi\)
USA 335 ~3.0 ~9,000 1.6 Exporter USD-issuer
EU-27 447 ~1.9 ~4,200 1.4 Net exporter (calories), net importer (fertiliser, gas) Euro
Russia 144 ~1.0 ~7,000 1.4 Exporter Sanctioned, BRICS rump
China 1,410 ~5.5 ~3,900 1.0 Net importer (soy, energy) RMB (partial)
Africa (54) 1,440 ~0.8 ~570 4.1 Net importer None of its own
World 8,100 ~19 ~2,300 2.3 — —

Numbers are rough on purpose; they shift by a few percent annually. The structural ratios — USA per-capita is ~16× African per-capita, China total is ~7× African total, world fertility is just above replacement and dropping — are the durable features that drive the next twenty years.

How to read these

Each essay follows the same spine the psychology rabbit holes use:

  1. What they are made of — \(\Phi\): substrate.
  2. What they harvest — \(P_{in} \cdot \eta\): energy and how cleverly it is used.
  3. What they are bureaucratically carrying — \(\omega\) and \(\Gamma\).
  4. What they believe about themselves — \(\mathcal{D}_{KL}\): where the model has detached from reality.
  5. What shelters them — \(\Psi\): which super-node still keeps them in the game.
  6. What collapse looks like — the specific trajectory if \(\mathcal{R}\) slips under 1.

Nothing here predicts winners. The Persistence Ratio is not a popularity contest; it is a clearing condition. Many of these nodes can persist simultaneously — at varying \(\mathcal{R}\) — for a long time, because the world-system \(\Psi\) still has slack. The interesting question is which terms each of them is currently overpaying for, and what that buys them when the slack ends.