On the initial state of the universe in Loop Quantum Cosmology and the time arrow

In this work, we address the thermodynamical evolution of the universe in the context of Loop Quantum Cosmology by considering the conditions for the existence of a time arrow in this approach. We find out that, for the existence of a time arrow in our universe, in terms of its obedience to the Generalized Second Law of Thermodynamics, the initial state of the cosmos must correspond to a negative entropy one.
Comment: 13 pages. Submitted to PLB