Towards a Cosmology with Minimal Length and Maximal Energy

Understand

The Friedmann-Robertson-Walker (FRW) universe and Bianchi I,II universes are investigated in the framework of the generalized uncertainty principle (GUP) with a linear and a quadratic term in Planck length and momentum, which predicts minimum measurable length as well as maximum measurable momentum.

• We get a dynamic cosmological bounce for the FRW universe.
• With Bianchi universe, we found that the universe may be still isotropic by implementing GUP.
• Moreover, the wall velocity appears to be stationary with respect to the universe velocity which means that when the momentum of the Universe evolves into a maximum measurable energy, the bounce is enhanced against the wall which means no maximum limit angle is manifested anymore.