AIM Framework glossary
Slow-Layer Loop Gain
Canonical definition
Slow-Layer Loop Gain (). The Slow-Layer Loop Gain is the product , where is the rate at which the Thinker is recruited at the operating point, is the Self-Coupling Permanence parameter, is the Restriction-Induced Concentration Factor, is the sensitivity of the likelihood to the fast-layer value signal, is the sensitivity of the Observer's template-coded forcing of M to the Belief Register, entering the integrated value through the Decision Hub's weight , and is the Evidence-Emission Coefficient. is the Bayesian Belief layer's contribution to the Joint Stability Condition .
Explanation
The Slow-Layer Loop Gain measures how strongly the Belief system amplifies itself through the coupling with the fast valuation layer. It is strictly positive whenever the fast and slow layers are coupled, Evidence is emitted at all and the Thinker is recruited, because the Self-Coupling Permanence Principle holds that an Individual's Evidence coupling to their own past Beliefs never falls to zero. This means the Belief layer adds destabilising pressure to the system without requiring any contingency to arise, which is the formal expression of the architectural claim that Bayesian Lock-In is structural rather than contingent. The floor lies in the self-coupling, which cannot be reduced, and not in Evidence emission, which can. Knowledge Patch operation reduces the Slow-Layer Loop Gain through two channels: AIM Vocabulary Acquisition reduces the Restriction-Induced Concentration Factor by adding the M-Hypothesis to the Hypothesis Space, and Epistemic Suspension reduces the Evidence-Emission Coefficient by sustaining a non-zero Interference Term.
Epistemic status
Framework-Specific Parameter. Source: Appendix A.5.6.