AIM Framework glossary

Observability Matrix

Canonical definition

Observability Matrix ( $\Lambda$ ). The Observability Matrix is the cross-Individual adjacency matrix $\Lambda = [\lambda{ij}]$ encoding the rate at which Individual $j$ 's realised valuation becomes an observed Model signal for Individual $i$ , with $\lambda{ij} \geq 0$ for all $i, j$ . $\Lambda$ is structurally given by the institutional and technological environment (platforms, disclosure regimes, sumptuary norms, broadcast media) and is the target of Class 1 interventions at the network scale. Its spectral radius $\rho(\Lambda)$ enters the network loop gain as $G_{net}^{\Lambda} = \alpha\cdot \beta\cdot \rho(\Lambda)\cdot \sigma'(V^{*})$ .

Explanation

The Observability Matrix is the formal locus of the Observability Gradient at the population scale. Where the Observability Gradient names the qualitative bias toward seeing M-driven activity over I-driven activity, the Observability Matrix names the specific edge weights through which one Individual's behaviour becomes another Individual's observable Model signal. Network-scale Class 1 interventions (sumptuary regimes, platform metric hiding, the Don't Name Them principle, the Coupling-Decoherence Content Qualification Gate) all operate by reducing the spectral radius of the Observability Matrix, and constitute the fifth channel of the Knowledge Patch's network-scale formalisation.

Epistemic status

Framework-Specific Construct. Source: Appendix A.5.7.3.

Derivation

Appendix A, Section A.5.7.3.

Canonical definition

Explanation

Epistemic status

Derivation

Related terms