Cosmological expansion and contraction from Pauli exclusion principle in
  $M0$-branes
  We show that the Pauli exclusion principle in a system of $M0$-branes can
give rise to the expansion and contraction of the universe which is located on
an $M3$-brane. We start with a system of $M0$-branes with high symmetry, which
join mutually and form pairs of $M1$-anti-$M1$-branes. The resulting symmetry
breaking creates gauge fields that live on the $M1$-branes and play the role of
graviton tensor modes, which induce an attractive force between the $M1$ and
anti-$M1$ branes. Consequently, the gauge fields that live on the $M1$-branes,
and the scalar fields which are attached symmetrically to all parts of these
branes, decay to fermions that attach anti-symmetrically to the upper and lower
parts of the branes, and hence the Pauli exclusion principle emerges. By
closing $M1$-branes mutually, the curvatures produced by parallel spins will be
different from the curvatures produced by anti-parallel spins, and this leads
to an inequality between the number of degrees of freedom on the boundary
surface and the number of degrees of freedom in the bulk region. This behavior
is inherited in the $M3$-brane on which the universe is located, and hence this
leads to the emergence of the universe expansion and contraction. In this
sense, the Pauli exclusion principle rules the cosmic dynamics.
