Naturalness in emergent spacetime

Details Naturalness in emergent spacetime Naturalness in emergent spacetime

2005-12-22

arxiv.org/abs/gr-qc/0512139v2

Phys.Rev.Lett. 96 (2006) 151301

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

V1:4 pages, revtex4; V2: slight changes in title, presentation, and conclusions. This version to appear in Physical Review Let

Scientific paper

10.1103/PhysRevLett.96.151301

Effective field theories (EFTs) have been widely used as a framework in order to place constraints on the Planck suppressed Lorentz violations predicted by various models of quantum gravity. There are however technical problems in the EFT framework when it comes to ensuring that small Lorentz violations remain small -- this is the essence of the "naturalness" problem. Herein we present an "emergent" space-time model, based on the "analogue gravity'' programme, by investigating a specific condensed-matter system that is in principle capable of simulating the salient features of an EFT framework with Lorentz violations. Specifically, we consider the class of two-component BECs subject to laser-induced transitions between the components, and we show that this model is an example for Lorentz invariance violation due to ultraviolet physics. Furthermore our model explicitly avoids the "naturalness problem", and makes specific suggestions regarding how to construct a physically reasonable quantum gravity phenomenology.

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