Predictions

Organizational coordination capacity scales as O(n log n) with team size

Observable: Team throughput vs size across 50+ organizations

Result: Empirical data suggests O(n√n) in some contexts. Under investigation.

Byzantine fault tolerance requires ≥3f+1 nodes for f failures in all coordination substrates

Observable: Minimum viable coordination unit size across biological and social systems

Result: Biological systems show 2f+1 sufficiency in some immune responses. Boundary conditions being refined.

Coupling operator (O4) always increases coordination overhead

Observable: Overhead measurement in tightly vs loosely coupled systems

Result: Certain resonance conditions show overhead reduction. Dark operator interaction suspected.

Memory operator (O2) decay follows exponential distribution universally

Observable: Decay curves in organizational, biological, computational memory

Result: Power-law decay observed in some organizational contexts. Model revision in progress.

CAP theorem constraints appear in organizational decision-making under partition

Result: N=147 teams showed predicted tradeoff structure. p<0.001

Attractor basins deepen with repeated coordination success

Result: Recovery time decreases logarithmically with successful coordination events.

Boundary operator failure precedes cascade failures

Result: O3 degradation detected 2-6 months before cascade in 8/9 cases studied.