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benthos

The dynamics of commitment.

Empirical analysis of how commitments evolve, degrade, and recover — across institutions, biology, and beyond.

267,000+
observations
9
substrates
R² up to 0.994
fit quality

The same equation fits all of these.

Weibull survival analysis and Lindblad dynamics applied to nine qualitatively distinct commitment substrates. Drift Rate (γ_dec) is strictly positive in cooperative systems, exactly zero in non-cooperative ones.

Weibull and Lindblad parameters across 8 commitment substrates, sorted by fit quality
SubstrateNCommitment ShapekDrift Rateγ_decFit Quality
Freedom House1,5141.0100.2310.994
Mycelium2,4401.0600.0260.985
WGI3,3331.0040.2790.984
MONA (IMF)69,8470.6670.1950.919
NYC Taxi14,8001.3940.0000.904
Oregon CCO9032.0190.0000.854
IEG (World Bank)62,2552.2830.0000.787
ECHO (EPA)1551.1966.6110.721

Drift Rate highlighted green when > 0 (cooperative maintenance detected). What do these column names mean? →

Key findings

The Verification Paradox

The act of checking changes the physics. Commitment Shape jumps from ~0.37 to ~0.90 at the moment of verification.

Read Paper 1

The Cooperation Diagnostic

Drift Rate = 0 in every non-cooperative system. Zero in every one. The math detects theater.

Read Paper 2

Substrate Independence

A fungal mycelial network and the International Monetary Fund produce statistically indistinguishable dynamics.

See Promise Physarum