Four instruments. Each reveals a different constraint.
Coordination science is a framework that derives coordination patterns from proven impossibility theorems. Just as thermodynamics derives engine limits from "no perpetual motion," coordination science derives organizational limits from CAP, Byzantine, Arrow, and other fundamental impossibility results.
The framework provides a rigorous foundation for understanding why coordination fails, predicting where it will break, and designing systems that work within physical constraints rather than against them. It unifies insights from distributed computing, information theory, game theory, and organizational science under a single mathematical structure.
The primitive operations that compose all coordination: Attractor, Memory, Boundary, Coupling, Compression, Agency, and Interface. Every coordination pattern can be decomposed into these operators.
Learn more →Constraints that bound what's possible, derived from Byzantine bounds, Shannon capacity, Cheeger inequality, and Bekenstein bound. These laws cannot be circumvented, only traded off.
Learn more →What emerges from operator composition under law constraints. Patterns like hierarchy, market, network, and commons each represent stable solutions to coordination problems.
Explore patterns →Six laws constrain all coordination systems, derived from Byzantine bounds, Cheeger inequality, and Bekenstein-AdS/CFT chain.
2025Byzantine n≥3f+1 and Shannon R(D) are the same theorem. The strongest theoretical contribution in the portfolio.
2025Institutional rule systems undergo phase transitions at critical constraint density. Unifies CAP, Arrow, Byzantine, FLP as same phenomenon.
2025Nine hierarchical levels map to seven operators. From phonology to pragmatics of coordination.
2025Coordination behavior changes discontinuously as stakes cross critical thresholds.
2025Why organizations lie—the physics of opacity. Accessible introduction to coordination geometry.
2025Phase transitions show universal hysteresis ratios. Trust recovery is ~10x harder than trust destruction.
2025Reveal the operator composition of any coordination phenomenon. Results are saved for the community.
What thermodynamics taught us about organizations. The fundamental constraints that govern all coordination.
The physics of opacity. Why information asymmetry isn't a bug but an inevitable feature of coordination geometry.
Deadlock, livelock, cascade, drift, ossification. The universal failure modes of every coordination system.
The real cost of coordination. Why building trust takes years but losing it takes moments.