Eigenmodes of Alignment

Definition

Eigenvalues of the alignment transform A that quantify alignment fidelity. Regenerative modes have λ = 1 (survive intact across cycles). Damped modes have 0 < λ < 1 (decay each cycle). Fragility modes have λ = 0 (scrubbed by Δ).

Formula

Example

A PSC-funded institution has λ = 1 for mission modes—capital regenerates perfectly each cycle. A grant-funded lab has λ < 1—each cycle loses capability. The eigenvalue predicts decay trajectory without simulation.

Source

OAIA Section 4.5