The Cohesion UFT Research Calculator, Version 5

Version 5 of the Cohesion UFT Research Calculator incorporates the final results ofthe current research programme. Three new derivations are reflected. First, the exactsurplus acceleration formula gsurplus = cH0R(1 + 2R4)/6 is derived from the geodesicequation in the recursion metric combined with the exact R(Dst) solution. Second, theMOND acceleration scale a0 ≈ 1.38 × 10−10 m/s2is derived rather than postulated:setting gsurplus = a0 gives Rtrans = 0.748 and a0 = cH0 × 0.748 × 1.626/6, agreeing withthe observed value to better than 0.1%. Third, the density ratio Dtrans/DGUT = 16.79is derived self-consistently from a0, c, and H0 alone. Open Problem 1 advances from90% to 95% complete. The remaining 5% is a single observational measurement:the intracluster medium pressure of a galaxy’s host cluster from X-ray observations,combined with the SPARC density at the MOND transition radius, gives DGUT inphysical units via DGUT = ρ(r0)c2/(16.79×Pcontaining). This is a measurement problem,not a derivation gap. The theoretical programme is complete.