Quantum Relay Theory v3 in the b → s sector

This record presents Quantum Relay Theory v3 in the \ (b s\) sector, a structured and falsifiable effective framework built on Olivier Minazzoli’s Entangled Relativity, based on the action \ (Lₘ²/R\). The document develops a sectorial implementation of the geometric relay mechanism and applies it to rare \ (b s^+^-\) transitions. Within its stated effective formalism, the framework derives a dominantly vectorial correction to the Wilson coefficient \ (C₉\), through a chain involving an effective Yukawa coupling \ (g, =2/3\, m_/M ₏₋\), a sectorial memory architecture, an \ (n\) -branch Wronskian cascade, and a hadronic response kernel closed algebraically as \ (B=-W₈₉/ (ᵢⱼ) \). This version introduces several closures compared with previous QRT drafts: a Wronskian closure of the hadronic kernel, a one-loop photonic matching structure \ (_=a_/ (1+q²/m ₄₅₅²) \), an absolute normalisation \ (a_=2/3/F ₌₄₌=0. 579\), and a memory frequency \ (c=_+\) selected by the mechanism itself. The complete chain from the action to \ (RK\) contains zero free parameters within the stated effective QRT framework and gives the prediction \ (RK0. 909\). The document also distinguishes this zero-parameter chain from the frozen phenomenological benchmark \ (B2^\*\), which gives \ (RK=0. 846\), and from the updated non-linear calculation including BSZ form factors and perturbative charm loops, giving \ (RK0. 905\) for the zero-parameter chain and \ (RK0. 888\) for \ (B2^\*\). The benchmark \ (B2^\*\) is presented as a frozen implementation used to test whether the QRT chain produces viable flavour outputs. With full non-linear \ (P'₅\) calculation, BSZ form factors and perturbative charm loops, the document reports an improvement in 4/4 \ (P'₅\) bins and a reduction of \ (²\) from 14. 3 to 7. 5. The QCD bridge for the hadronic kernel is established at a structural and semi-quantitative level, with compatibility to LCSR estimates within a factor of 3–7. The work explicitly states its epistemic status, limitations and failure criteria. It provides fifteen falsifiable predictions and eight failure criteria. It should be read as a structured, falsifiable and partially derived effective framework, not as a complete microscopic derivation of all flavour anomalies. The main remaining openings are the full GRT-to-EFT matching of \ (a_\), the QCD normalisation of the hadronic kernel, the derivation of remaining memory parameters, and out-of-flavour tests such as M87* and magnetar signatures.