Bootstrap MOND: Deriving the Acceleration Scale from Icosahedral Mode Counting

Modified Newtonian Dynamics (MOND) successfully reproduces galaxy rotation curves using a single empirical parameter, the acceleration scale a₀ ≈ 1.2 × 10⁻¹⁰ m/s². Despite four decades of success, no theory derives this value from first principles or explains why MOND works at galaxy scale but fails at cluster scale. We derive a₀ = 5cH₀/27 from the Bootstrap Universe framework, matching observation to 1.0%. The denominator 27/5 is the same icosahedral mode ratio that sets the dark matter to baryon maximum (Keeble 2026): 30 vibrational modes over 6 rigid body modes, plus a topological correction from the Euler characteristic. The MOND acceleration scale is the cosmological acceleration cH₀ divided by the…