...This
is the extension of the Jeans' theory to two interacting populations. See
the paper : ...When
a clump forms in a fold, a conjugated lacuna forms in the corresponding adjacent
region of the second fold.
J.P.Petit and P.Midy : Matter ghost matter astrophysics. 4 : Joint gravitational
instabilities.Geometrical Physics A , 7 , 1998. ...
(153)
...In
figure (153), top : the clump forms in fold F and the lacuna in fold F*. Below
: reversed situation.
...In
figure (154) we use the model of the checkers board :
(154)
...Recall
that matter-made observers cannot see ghost matter structures. On figure (155)
and (155') the inverse situation.
(155)
...On pure geometrical grounds, photons cannot reach a ghost-matter-made observer and ghost photons cannot reach a matter-made observer.
...On
figure (156) a "3d checkers board".
(156)
...Following, a model which illustrates the joint gravitational instabilities mechanism. Imagine a tank, made of plexiglass, for an example, filled by water. In the middle of the tank, a horizontal and supple sheet, which is the frontier between two liquid domains : up and down. On the top, an initially uniform distribution of heavy balls (black).
...Below,
an initially uniform distribution of ping-pong balls. The two elements are
supposed to have some random horizontal "thermal velocities". Then we can
assume that, randomly, some heavy balls form a clump, somewhere on the sheet.
They form a depression in which they tend to attract their neighbourings.
But, as shown on figure (156bis), ping-pong balls participate in the process.
They are repelled by the cluster and tend to form a potential barrier around
it. They reinforce the confinement effect.
