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Fig. 13.

image

Top panel: scatter diagram showing the relation between the gravitational field |gm| that would be created by matter if it were alone, on the x-axis, as a function of the total gravitational field |g+| acting on a matter particle, created by both matter and antimatter, on the y-axis. While the high field part on the right part of the figure shows the expected Newtonian behavior, it can be seen that for accelerations smaller than ≈3 × 10−11 m s−2, a non Newtonian behavior appears, with a flattening of the acceleration observed, in a behavior analogous to the MOND behavior. The MOND interpolating function used in Lelli et al. (2019) with a value of the a0 parameter equal to 0.4 × 10−11 m s−2 has been superimposed on the simulation data, and the two adjacent curves represent the 1-σ error of 0.11 dex found by these authors. Bottom panel: scatter diagram showing the relation between the gravitational field |gam| that would be created by antimatter if it were alone, on the x-axis, and the total gravitational field |g+| acting on a matter particle, created by both matter and antimatter, on the y-axis. It can be seen on this figure that the gravitational field created by antimatter is much more uniform, with values smaller by typically one order of magnitude, than the Newtonian regime of the previous figure, created for the most part by matter.

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