Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2005-10-30
Class.Quant.Grav. 23 (2006) 3129-3154
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
V1: 36 pages, uses iopart.sty; V2: 31 pages, presentation simplified, conclusions clarified, discussion of some side issues el
Scientific paper
10.1088/0264-9381/23/9/023
We present an analogue spacetime model that reproduces the salient features of the most common ansatz for quantum gravity phenomenology. We do this by investigating a system of two coupled Bose-Einstein condensates. This system can be tuned to have two "phonon" modes (one massive, one massless) which share the same limiting speed in the hydrodynamic approximation [Phys. Rev. D72 (2005) 044020, gr-qc/0506029; cond-mat/0409639]. The system nevertheless possesses (possibly non-universal) Lorentz violating terms at very high energies where "quantum pressure" becomes important. We investigate the physical interpretation of the relevant fine-tuning conditions, and discuss the possible lessons and hints that this analogue spacetime could provide for the phenomenology of real physical quantum gravity. In particular we show that the effective field theory of quasi-particles in such an emergent spacetime does not exhibit the so called "naturalness problem".
Liberati Stefano
Visser Matt
Weinfurtner Silke
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