Alignment Transform

Definition

The composite operator that projects raw capital-cycle behaviour into the mission-aligned subspace. First Δ removes fragility dependencies, then Λ synchronises the result to mission cycles. The alignment transform is projection-like: A² ≈ A.

Formula

Example

Applying A to hospital capital transforms budget-driven cycles into equipment-renewal cycles. Raw capital governed by annual budgets becomes capability-sustaining capital matched to 5-7 year MRI replacement schedules.

Source

OAIA Section 3.1