The Cohesion UFT Research Calculator, Version 6

Version 6 is a total rebuild of the Research Calculator: sixteen modules, every one
computing live from the closed-form expressions of the Cohesion UFT series, with
the source paper stated per module and every displayed value verified against that
source before release. Three changes define the version. First, the R(Dst)
workbench now solves the exact implicit solution R/(1+2R4
)
1/4 = C·Dst
1/6 by
bisection, replacing the superseded parametric family; the module has no free
parameters — C = 3−1/4 is fixed by the normalisation R(DGUT) = 1, and the
exponent n = 1/6 is derived, not fitted. Second, the fine-structure constant becomes
a computational module: the forward geometric chain is solved live by fixed-point
iteration, yielding 1/α = 137.029 with no free parameters and no α as input, with
the +0.007 to CODATA displayed as the identified containing-scale pressure
signature; the slip-time form 1/α = θ
φ
 − 2g/ω is retained as a self-consistency check
(residual −8.48×10−6
 degrees). Third, the Weinberg angle — an open problem
through Version 5 — is a derived module: sin2
θW
 = 3/8 at the GUT scale from the
trace ratio Tr(T3
2
)/Tr(Q2
) = (1/2)/(4/3) in the SO(10) 5̄ closure geometry, running to
the computed 0.2314 at mZ
 against the observed 0.2312. The surplus-acceleration
module derives a0
 = cH0
Rtrans(1+2Rtrans
4
)/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 three
pairwise coupling intersections live; proton decay, neutrino masses, rotation
curves, the electroweak sector, the binary toggle, lepton masses with the derived
scaling factors λ1
 = 3/(2α) and λ2
 = 3/(8πα), and E = pr with a live electron
verification complete the set. The open-programme navigator reflects current
status: Open Problem 1 at 95% w