AIM Framework glossary

Evidence-Emission Coefficient

Canonical definition

Evidence-Emission Coefficient (ω(Tint)\omega(T{int})). The Evidence-Emission Coefficient is a bounded monotone-decreasing function of the Interference Term, governing the strength with which the maximum-posterior Hypothesis is emitted as Evidence from the slow Bayesian layer back to the fast valuation layer in Stage 3 of the fast-to-slow coupling map. Formally, the Evidence proposition emitted to the fast layer is Et=ω(Tint(bt))⋅arg⁡\maxkbt(Hk)Et = \omega(T{int}(bt))\cdot \arg\maxk bt(Hk), where ω′(Tint)<0\omega'(T{int})<0 and ω(Tint)∈[0,1]\omega(T_{int})\in[0,1]. The limiting regimes are: ω→1\omega \to 1 as the Belief Register decoheres to a single Hypothesis and the emitted Evidence approaches the Individual Fixed Point; ω→0\omega \to 0 as Epistemic Suspension is sustained and the Belief Register maintains maximal superposition across competing Hypotheses.

Explanation

The Evidence-Emission Coefficient captures how firmly a Belief gets sent back to influence your fast reactions. When you are genuinely holding multiple possibilities open (high Interference Term, sustained Epistemic Suspension), the Evidence-Emission Coefficient is low and the Belief you are leaning toward has only a weak effect on your fast valuation loop. When you have settled on a single explanation and stopped questioning it (low Interference Term, Bayesian Lock-In), the coefficient approaches its maximum and the Belief drives your fast reactions at full strength. This is one of the two slow-layer channels through which the Knowledge Patch reduces the Slow-Layer Loop Gain: Epistemic Suspension sustains a high Interference Term, which keeps the Evidence-Emission Coefficient low, which keeps the slow loop gain down.

Epistemic status

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

Derivation

Appendix A, Section A.5.6; Chapter 4, Section 4.4.13.5.

Related terms