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AIM Framework glossary

Coupling Strength

Canonical definition

Coupling Strength is the parameter governing the non-commutativity and endogeneity of Belief updating, measured at two distinct scales that share the symbol κ\kappa: at the node or dyadic scale, it is the dimensionless ratio between zero and one obtained by dividing the average order effect across question pairs by the diameter of the Belief state space (the maximum non-commutativity of measurement operators across the Belief state space, Chapter 14, Section 14.7.1); at the population scale, it is the share of an Individual’s Evidence within a domain that arrives as endogenous social Evidence from other Individuals rather than from exogenous reality-contact (introduced at Chapter 13, Section 13.4.6 and reconciled across the two scales at Chapter 14, Section 14.7.7). Within the AIM Framework, Coupling Strength determines the rate at which coupled Belief cascades converge, the effectiveness of Source Opacity in concealing motivational source, and the conditions under which classical probability approximations break down. Coupling Strength is always positive (the Self-Coupling Permanence Principle guarantees a non-zero baseline through the memory-recall channel), domain-specific (varying across social contexts), and amenable to structural intervention through institutional design. At the network scale (Appendix A.5.7), Coupling Strength is realised as the Evidence-Coupling Matrix K=[κij]K = [\kappa{ij}] with diagonal κii=κself\kappa{ii} = \kappa{self} and off-diagonal block KoffK{off}, whose spectral radius ρ(Koff)\rho(K_{off}) governs the network Evidence-coupling loop gain.

Explanation

Coupling Strength measures two closely related things at two scales: inside an Individual or a dyad, how strongly the order in which questions or observations arrive changes the Belief reached; across a population, how tightly one Individual’s Beliefs are linked to other Individuals’ expressed Beliefs as Evidence. The two move together because a population whose members draw most of their Evidence from one another is also a population whose Belief states exhibit large order effects. When Coupling Strength is high, for instance on social media, in tribal politics, or during a market bubble, what everyone else thinks becomes Evidence for what you think, and vice versa, creating a feedback loop that makes Beliefs converge whether or not they are true. When Coupling Strength is low, in private reflection, controlled experimentation, or well-designed deliberative procedures, Beliefs are driven more by exogenous Evidence from the Referent than by what others happen to believe. AIM’s key insight is that Coupling Strength does not merely spread Beliefs; through the Coupling-Concealment Identity, it actively conceals the motivational source of those Beliefs, making Source Opacity worse in precisely the environments where it matters most.

Epistemic status

Parameter.

Derivation

Chapter 13, Section 13.4.6; Chapter 14, Section 14.7.1; Chapter 14, Section 14.7.7; Appendix A, Section A.5.7.

Also in the entry

Notation Statement. Denoted κ in formal equations, derivations, operational-definition blocks, appendices, figure and table headings, and the definitions database. Written in full as “Coupling Strength” in running prose. On first prose appearance in any given document the English term may be followed by a parenthetical gloss of the form “Coupling Strength”; a second parenthetical gloss of the same form is permitted at the first prose occurrence of the term in the main body after the formal definitions section, as a courtesy to readers who skip front-matter. All subsequent prose occurrences within that document use the English term only.

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