Research publications and preprints. All papers include falsifiable predictions.
We identify 53 structural isomorphisms that appear across biological, computational, and organizational coordination systems. These are not analogies but mathematical identities arising from shared constraint structures.
Coordination problems exhibit sharp phase transitions analogous to SAT/UNSAT boundaries. We derive the critical thresholds from impossibility results and validate empirically.
Organizations fail when coordination eigenmodes collapse to lower-dimensional attractors. We formalize this using operator composition rules and identify early warning signatures.
Coordination systems minimize a coherence functional subject to capacity constraints. We derive this principle from Byzantine fault tolerance bounds and show it predicts observed structures.
We present the simplest possible model that exhibits all seven operators. This toy model serves as a pedagogical entry point and testing ground for theoretical predictions.
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