The Cohesion UFT Research Calculator, Version 6

Abstract

Version 6 is a total rebuild of the Research Calculator: sixteen modules, every onecomputing live from the closed-form expressions of the Cohesion UFT series, withthe source paper stated per module and every displayed value verified against thatsource before release. Three changes define the version. First, the R(Dst)workbench now solves the exact implicit solution R/(1+2R4)1/4 = C·Dst1/6 bybisection, replacing the superseded parametric family; the module has no freeparameters — C = 3−1/4 is fixed by the normalisation R(DGUT) = 1, and theexponent n = 1/6 is derived, not fitted. Second, the fine-structure constant becomesa computational module: the forward geometric chain is solved live by fixed-pointiteration, yielding 1/α = 137.029 with no free parameters and no α as input, withthe +0.007 to CODATA displayed as the identified containing-scale pressuresignature; the slip-time form 1/α = θφ − 2g/ω is retained as a self-consistency check(residual −8.48×10−6 degrees). Third, the Weinberg angle — an open problemthrough Version 5 — is a derived module: sin2θW = 3/8 at the GUT scale from thetrace ratio Tr(T32)/Tr(Q2) = (1/2)/(4/3) in the SO(10) 5̄ closure geometry, running tothe computed 0.2314 at mZ against the observed 0.2312. The surplus-accelerationmodule derives a0 = cH0Rtrans(1+2Rtrans4)/6 = 1.379×10−10 m/s2 (residual −0.10%against observation) with the residual computed at the fixed published Rtrans =0.748 so the comparison is not circular. GUT convergence computes the threepairwise coupling intersections live; proton decay, neutrino masses, rotationcurves, the electroweak sector, the binary toggle, lepton masses with the derivedscaling factors λ1 = 3/(2α) and λ2 = 3/(8πα), and E = pr with a live electronverification complete the set. The open-programme navigator reflects currentstatus: Open Problem 1 at 95% w