AIM Framework glossary

Evidence-Coupling Matrix

Canonical definition

Evidence-Coupling Matrix ( $K$ ). The Evidence-Coupling Matrix is the cross-Individual adjacency matrix $K = [\kappa{ij}]$ governing the strength with which Individual $j$ 's emitted Evidence proposition $Et^{j}$ enters Individual $i$ 's Belief Register, with $\kappa{ij} \geq 0$ for all $i, j$ . The diagonal $\kappa{ii} = \kappa{self}$ is the Self-Coupling Permanence term, which is strictly positive and structurally irreducible. The off-diagonal block $K{off}$ contains the interpersonal couplings, and its spectral radius $\rho(K{off})$ enters the network loop gain as $G{net}^{K} = \rho(K{off})\cdot \|\partial\ell/\partial E\|\cdot \beta\,\|\partial\mu/\partial b\|\cdot \overline{\omega(T{int})}$ .

Explanation

The Evidence-Coupling Matrix is the formal expression of Coupling Strength at the network scale. Where the scalar Coupling Strength describes a domain-level average, the Evidence-Coupling Matrix describes the directed, weighted, dyadic structure of who treats whom as a source of Evidence. The diagonal carries the Self-Coupling Permanence floor that no intervention can remove; the off-diagonal block carries the policy-modifiable interpersonal couplings whose spectral structure determines the network-scale Critical Coupling Strength. Patch-competent Evidence intake reduces the effective off-diagonal weights without altering the underlying graph topology, which is the fourth channel of the Knowledge Patch's network-scale formalisation.

Epistemic status

Framework-Specific Construct. Source: Appendix A.5.6.

Derivation

Appendix A, Section A.5.7.3; Chapter 14, Section 14.7.7; Appendix A, Section A.5.7.4.

Canonical definition

Explanation

Epistemic status

Derivation

Related terms