Emergent gravity: the BEC paradigm

Understand

We study selected aspects of quantum gravity phenomenology inspired by the gravitational analogy in Bose--Einstein condensates (BECs).

• We first review the basic ideas and formalism of analogue gravity in BECs, with particular emphasis on the possibility of simulating black holes.
• The non-relativistic, 'superluminal' modifications of the dispersion relation in a BEC beyond the hydrodynamic limit make it a particularly interesting model for many scenarios of quantum gravity phenomenology which consider a possible violation of local Lorentz invariance at high energies.
• In particular, these modifications allow the study of kinematical corrections that such quantum gravity scenarios could impose on general relativity.