Inverse volume corrections to emergent tachyonic inflation in loop quantum cosmology

Understand

The emergent model in the context of loop quantum cosmology with a tachyon scalar field is studied.

• We find that there is a center equilibrium point in the semiclassical region and a saddle point in the classical region.
• If the potential of the tachyon field satisfies some conditions, the universe can stay at the center equilibrium point past-eternally and then oscillate infinitely around this point with the tachyon climbing up its potential.
• Once the potential reaches a critical value, these two equilibrium points coincide with each other and the oscillation phase is broken by an emergent inflation.