The Cohesion UFT Research Calculator, Version 5

Version 5 of the Cohesion UFT Research Calculator incorporates the final results of
the current research programme. Three new derivations are reflected. First, the exact
surplus acceleration formula gsurplus = cH0R(1 + 2R4
)/6 is derived from the geodesic
equation in the recursion metric combined with the exact R(Dst) solution. Second, the
MOND acceleration scale a0 ≈ 1.38 × 10−10 m/s2
is derived rather than postulated:
setting gsurplus = a0 gives Rtrans = 0.748 and a0 = cH0 × 0.748 × 1.626/6, agreeing with
the observed value to better than 0.1%. Third, the density ratio Dtrans/DGUT = 16.79
is derived self-consistently from a0, c, and H0 alone. Open Problem 1 advances from
90% 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 in
physical units via DGUT = ρ(r0)c
2/(16.79×Pcontaining). This is a measurement problem,
not a derivation gap. The theoretical programme is complete.