Milgrom's acceleration from informational viscosity: MOND as the galactic limit of the GUBIM framework

Companion paper to the GUBIM framework (doi: 10. 5281/zenodo. 19143467). We show that Milgrom's acceleration scale a₀ ~ 1. 2 x 10^-10 m/s² and the standard MOND interpolation function emerge, without fitted parameters, from the galactic limit of the Grand Unified Brane-Informational Model (GUBIM). In GUBIM, an informational scalar field Phi couples to baryonic matter with an intensity governed by the local Damkohler number Re = gbar / a₀. The cosmological transition function Fcosmo (Re) = Re²/ (1+Re²), which controls the dark-energy equation of state, maps onto a galactic-scale force modification via Fgal = sqrt (Fcosmo) = Re/sqrt (1+Re²). This is algebraically identical to the MOND standard interpolation function muₛtd. The acceleration scale is derived from first principles as a₀ = c H₀ sqrt (4/3) / (2 pi), yielding a₀ᵖred = 1. 2026 x 10^-10 m/s², a 0. 22% agreement with the empirical value of 1. 2000 x 10^-10 m/s². Tested against 175 galaxies from the SPARC database with zero adjustable parameters. In a fair comparison where both GUBIM and MOND employ the standard nu-function with their respective (fixed) values of a₀, GUBIM achieves a median reduced chi-squared of 9. 79 versus 9. 84 for MOND standard -- a statistical tie. The Wilcoxon signed-rank test gives p = 0. 27, confirming no statistically significant difference. Eight independent statistical tests corroborate this conclusion. The MOND phenomenology -- long considered an unexplained coincidence -- is shown to be a necessary consequence of informational dark-sector physics at the galactic boundary. The gravitational lensing regime remains an open problem.