Matter and antimatter propelled nearly to the speed of light by the Crab pulsar, from NASA’s Chandra X-ray Observatory and the Hubble Space Telescope/Getty Images.
The previous post on God’s equation connects to the recent article (2011) on antigravity and antimatter by M. Villata CPT symmetry and antimatter gravity in general relativity.
Villata derives mutual repulsion between matter and antimatter as a consequence of CPT invariance.
Using instead the equation as starting point with the gravitational potential being the primary quantity, and with the derived quantity representing matter (visible matter + dark matter) where and antimatter where , the argument is different:
The gravitational force points in the direction of decreasing potential , thus towards local minima with , thus towards matter regions as illustrated in the following picture:
Here red indicates presence of matter and blue presence of antimatter. We see that with antimatter between two matter regions, the attractive force between the two regions is reduced, which can be interpreted as an effect of repulsion between matter and antimatter. Without antimatter the local maximum will be weaker and the two matter regions will tend to merge as by mutual attraction.