Cosmology from quantum potential in a system of oscillating branes

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 a 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, the contraction epoch of universe starts and some higher order of derivatives of scalar fields in the relevant action of branes are produced which are the responsible of generating the generalized uncertainty principle or GUP. 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 and M3 wraps around it again. At this stage, expansion branch ends and universe enters to a contraction epoch again. This process is repeated many times and universe expands and contracts as due to oscillating of branes. We obtain the scale factor of universe in this system and find that it's values only at t → −∞ shrinks to zero. Thus, in our method, the big bang is replaced by the fundamental string and the age of universe is predicted to be infinite. Also, when tachyonic states disappear at the beginning of expansion branch, some extra energy is produced and leads to an increase in the velocity of opening of M3. In these conditions, our universe which is located on this brane, expands very fast and experiences an inflation epoch. Finally, by reducing the fields in eleven dimensional M-theory to the fields in four dimensional universe, we show that our theory matches with quantum field theory prescriptions