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May 14, 20266 citationsOpen Access

Coupling Geometry: Empirical Tests in the Civilisational Domain

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PPPhilip Pepper

Key Points

  • The aim is to evaluate the Coupling Geometry framework against historical civilisational records to derive empirical insights.
  • Forty-four historical systems were scored using an LLM-based rubric achieving an ICC of 0.83–0.85.
  • A formal simulation named CONSTRAINT was conducted on two independent seeds with approximately 340 cascade events each.
  • Three historical cases, including the French Revolution, were analyzed for specific engagement with the framework.
  • Found first principal component variance of 92–94% across scoring regimes.
  • Estimated a fitted threshold C* ≈ 4.78 and a refractive-field exponent γ ≈ 1.50 under v3 scoring.
  • The eleventh benchmark failed across independent seeds, indicating an unresolved prediction.

Abstract

This paper tests the Coupling Geometry framework against the civilisational record. The framework's axiomatic foundation is presented in a companion paper: https://doi.org/10.5281/zenodo.20137424. The present paper reports the evidence for the framework's empirical entailments. A portfolio of forty-four historical systems scored under a rubric whose LLM-based rubric-reapplication agreement clears the pre-registered threshold (ICC = 0.83–0.85) produces a scalar-coupling finding (first principal component variance 92–94% across scoring regimes), a fitted threshold C* ≈ 4.78 and a refractive-field exponent γ ≈ 1.50 under the v3 scoring. These estimates remain provisional pending blinded independent historian scoring. A formal simulation (CONSTRAINT) whose mechanics are coded without reference to the framework's predicted quantities reproduces ten of eleven benchmarks across two pre-registered independent seeds; the cascade-duration decay constant is stable to within 0.2% across seeds (a level consistent with both a tightly-determined mechanistic law and with sampling convergence at this seed's n ≈ 340 cascade events; the manuscript's §5.2 distinguishes), and the eleventh benchmark failed on both seeds and is recorded as a genuine unresolved prediction. Two non-civilisational pilots recover the coupling-to-refractive-field relationship with γ estimates that bracket rather than reproduce the civilisational value, evidence consistent with the framework's weak universality claim (structural pattern recurs with substrate-specific exponents) and inconsistent with its strong form (substrate-invariant exponents); metric-specification issues remain unresolved in the sovereign pilot. Three focal cases (South Africa, Song-Ming China, French Revolution) and a Late Bronze Age worked example demonstrate engagement with specific historical questions, with the French Revolution serving as a second civilisational test of the Identity Constraint Theorem (the first being a separate Byzantine case study, "Identity as Refusal: A Coupling-Architectural Account of the Byzantine Case," currently under submission to Theory and Social Inquiry). The external multi-analyst study remains the decisive outstanding commitment. Manuscript under review at Cliodynamics.

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Cite This Study

Philip Pepper (2026) studied this question.

synapsesocial.com/papers/6a0567d2a550a87e60a2007ehttps://doi.org/10.5281/zenodo.20137863
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