Quantum cosmology of (loop) quantum gravity condensates: An example

Understand

Spatially homogeneous universes can be described in (loop) quantum gravity as condensates of elementary excitations of space.

• Their treatment is easiest in the second-quantised group field theory formalism which allows the adaptation of techniques from the description of Bose-Einstein condensates in condensed matter physics.
• Dynamical equations for the states can be derived directly from the underlying quantum gravity dynamics.
• The analogue of the Gross-Pitaevskii equation defines an anisotropic quantum cosmology model, in which the condensate wavefunction becomes a quantum cosmology wavefunction on minisuperspace.