Cosmology from quantum potential in a system of oscillating branes

Abstract: 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.