STM Article Repository

In this work the author derives the Galilean limit of the gravitational field of antimatter by using the equations of the quantum gravity obtained by using the hydrodynamic approach. The result shows that, even if the antimatter mass is positive, it generates a curvature of the 4-d space that is negative respect to that one of the matter. The work shows that this characteristic is the consequence of the backward propagation in time of the wave function of antimatter generated by its negative energy values. The work discusses the compatibility of the CPT symmetry with the matter-antimatter repulsive behavior.