Evolution as a function of the scale factor a(t) of the distribution of the modulus of the gravitational field |g_am| created by antimatter for two simulations. In the first simulation, on the top panel, the total mass of the simulation is of galactic size, ≈2.2 × 10¹⁰ M_⊙. The second simulation, on the bottom panel, is of cluster size and has a total mass of ≈10¹⁶ M_⊙. Both distributions are rather peaked at all redshifts, and with an overall shape and width largely independent of redshift. On the other hand, the numerical value of the peak of the distribution clearly depends on the redshift. For both simulations, of limited size and mass, the peak value of the antimatter field differs from the fundamental constant postulated by MOND, a₀ ≈ 1.2 × 10⁻¹⁰ m s⁻².