Conservation Laws of Coordination

We derive six conservation laws that constrain all coordination systems, regardless of substrate. These laws emerge from proven impossibility results in distributed computing, information theory, and physics.

Law 1 (Verification Work): Derived from P≠NP and Byzantine bounds. Coordination requires irreducible verification work proportional to system complexity.

Law 2 (Attention Allocation): Grounded in cognitive science. Attention is a conserved resource that bounds parallel coordination capacity.

Law 3 (Coordination Overhead): From Gunther's Universal Scalability Law. Coordination overhead grows superlinearly with participant count.

Law 4 (Information Entropy): From Shannon capacity and Byzantine-Shannon isomorphism. Information degradation bounds reliable coordination distance.

Law 5 (Coherence Capacity): From Cheeger Inequality. The spectral gap λ₂ bounds the rate at which coherence can propagate through a coordination network.

Law 6 (Capacity Budget): From Bekenstein bound through AdS/CFT and Ryu-Takayanagi formula. Coordination capacity scales with boundary area, not volume.

These laws unify constraints from distributed systems, organizational theory, and biological coordination into a single theoretical framework with falsifiable predictions.