Running Couplings and Grand Unification in the Cohesion Unified Field Theory

The running of the Standard Model coupling constants with energy scale is one ofthe most precise predictions of quantum field theory. In the Cohesion Unified FieldTheory, running couplings are not an artefact of virtual particle loops: they are thedensity-dependence of the recursion frequencies ωn(Dst) of the three recursion modes.At higher probe energy, the recursion medium is sampled at higher effective density; therecursion frequencies change with density; and therefore the coupling strengths changewith energy. The one-loop beta function coefficients bi are identified as the logarithmicderivatives of the recursion frequency ratios with respect to the density-state variable.The near-convergence of the three Standard Model couplings at ∼ 1014–1016 GeV isinterpreted as the approach toward a common recursion frequency threshold DGUT atwhich the n = 2, n = 6, and three-slip-phase recursion modes become degenerate. AtDGUT, the distinction between quarks and leptons dissolves: fractional closures and fullclosures become equivalent when all recursion mode frequencies are equal. The GUTgroup is the full phase rotation symmetry of the recursion medium at DGUT. The exactdensity at which unification occurs and the precise identification of the GUT group areopen problems requiring the full R(Dst) calibration.