Version 3 of the Cohesion UFT Research Calculator incorporates four major advancesfrom the current session of the research programme. First, the recursion LagrangianL =12(∂µΦ)∗(∂µΦ) −R02|Φ|2, derived from E = pr and the asymptote theorem, is nowthe foundation of the field equations module: Klein-Gordon, general relativity, and theQCD Yang-Mills equations are outputs of this Lagrangian, not external inputs. Second,the Weinberg angle sin2θW = 3/8 at the GUT scale is derived from the SO(10) closuregeometry and displayed in the electroweak module. Third, the lepton mass scalingfactors λ1 = 3/(2α) and λ2 = 3/(8πα), derived in Version 2, are now reflected in theupdated derivation chain and key formulae. Fourth, the open problem navigator isupdated to reflect four substantially closed problems: the field equations (Problem 3,80%), the lepton scaling factors (Problem 4, 85%), the Weinberg angle (Problem 5,80%), and Born rule pointer state completeness (Problem 7, 85%). The QCD β-functioncoefficient b3 = −7 is derived geometrically from Nc = 3 (three slip phases) and Nf = 6(six quark flavours), and the running couplings module now displays this derivation.The R(Dst) workbench notes that R(Dst) is identified as the dispersion relation of therecursion Lagrangian in a curved background.
Gilbert et al. (Wed,) studied this question.