  Recently, some authors proposed a new mechanism which gets rid of the
big-bang singularity and shows that the age of the universe is infinite. In
this paper, we will confirm their results and predict that the universe may
expand and contract many times in a system of oscillating branes. In this
model, first, N fundamental strings transit to N M0-anti-M0-branes. Then,
M0-branes join to each other and build an M8-anti-M8 system. This system is
unstable, broken and two anti-M4-branes, a compactified M4-brane, an M3-brane
in additional to one M0-brane are produced. The M3-brane wraps around the
compactified M4-brane and both of them oscillate between two anti-M4-branes.
Our universe is located on the M3-brane and interacts with other branes by
exchanging the M0-brane and some scalars in transverse directions. By wrapping
of M3-brane, universe contracts and generalized uncertainty principle or GUP
emerges. By oscillating the compactified M4-M3-brane and approaching to one of
anti-M4-branes, one end of M3-brane glues to the anti-M4-brane and other end
remains sticking and wrapping around M4-brane. Then, by getting away of the
M4-M3 system, M4 rolls, wrapped M3 opens and expansion epoch of universe
begins. By closing the M4 to anti-M4, the square mass of some scalars become
negative and they make a transition to a tachyonic phase. To remove these
states, M4 rebounds, rolls, M3 wraps around it and universe contracts again. We
show that that the scale factor of universe in this system only at
$t\rightarrow -\infty$ shrinks to zero and thus, the age of our universe is
infinity. Also, when tachyonic states disappear at the beginning of expansion
branch, some extra energy is produced and leads to the inflation. This theory
matches with quantum field theory prescriptions in four dimensions.
