Holography constrains quantum bounce

Recent work in quantum loop cosmology suggests the universe undergoes a bounce when evolving from a previous collapsing phase. However, with non-inflationary matter sources, the scenario appears to strongly violate the holography bound S\leq A/4 during the bounce, where A now represents the cross-sectional area of the bounce. We also give a simple argument why any inflationary phase after the bounce is unlikely due to prior dissipation of a scalar field kinetic energy phase into regular matter components.