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 a_0 ~ 1.2 x 10⁻¹⁰ m/s^2 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 = g_bar / a_0. The cosmological transition function F_cosmo(Re) = Re^2/(1+Re^2), which controls the dark-energy equation of state, maps onto a galactic-scale force modification via F_gal = sqrt(F_cosmo) = Re/sqrt(1+Re^2). This is algebraically identical to the MOND standard interpolation function mu_std. The acceleration scale is derived from first principles as a_0 = c H_0 sqrt(4/3) / (2 pi), yielding a_0^pred = 1.2026 x 10⁻¹⁰ m/s^2, a 0.22% agreement with the empirical value of 1.2000 x 10⁻¹⁰ m/s^2. 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 a_0, 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.