Cross-Domain Commutators

Definition

The mathematical measure of interference between alignment operators from different domains. When commutators are non-zero, the order of applying alignment transformations matters—applying A_health then A_gov produces different outcomes than A_gov then A_health.

Formula

Example

The health-government commutator [A_health, A_gov] ≠ 0 explains why hospitals fail: budget cycles (1-year) interfere with equipment cycles (5-7 years). The order of alignment matters, and budget typically dominates.

Source

OAIA Section 6