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Fig. 1.

image

Schematic cartoon of gravitational interactions between positive (in yellow) and negative (in purple) mass particles. Black vectors indicate the direction of the gravitational force, Fg = −GM1M2/r2, that is experienced by a given particle. Red vectors indicate the direction of the acceleration, a = Fg/M, that is experienced by a given particle when the weak equivalence principle holds. There are three possible cases: (i) top row: the familiar positive–positive mass interaction, in which both particles accelerate towards one another via gravitational attraction, (ii) middle row: the positive–negative mass interaction, in which both particles accelerate in the same direction – pointing from the negative mass towards the positive mass. This case is sometimes referred to as runaway motion, and (iii) bottom row: the negative–negative mass interaction, in which both particles accelerate away from one another via gravitational repulsion.

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