3
Joint gravitational instabilities.
This is the analogue of Jeans' theory, but with two self-attracting populations that mutually repel each other. See: J.P. Petit and P. Midy: Matter, ghost matter, astrophysics. 4: Joint gravitational instabilities.[
See on this site: Geometrical Physics A, 7, 1998
.]
When a clump forms in one sheet, this phenomenon is accompanied by the formation of a vacuum bubble in the other.
With the checkerboard model:
Same pattern for ghost matter "surrounded" by points of ordinary matter (invisible to it):
All this because photons emitted by matter particles could not reach ghost matter particles, just as "ghost photons" emitted by ghost matter could not reach matter particles.
It is easy to imagine the same situation in 3D, using a "three-dimensional checkerboard":
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