On the phenomenon of emergent spacetimes: An instruction guide for experimental cosmology

Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology

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19 pages; Based on a talk at the conference: From Quantum to Emergent Gravity: Theory and Phenomenology, June 11-15 2007, Trie

Scientific paper

We present a toy model where spacetime is emergent from a more fundamental microscopic system, and investigate the gray area interpolating between the collective and free-particle regimes. For a period of rapid exponential growth in the analogue universe, we argue that the intermediate regime is best described by a coloured potpourri of geometries -- a "rainbow geometry". This can be viewed as an alternative approach towards understanding quantum field theories in the presence of Lorentz-symmetry breaking at ultraviolet scales. Firstly, it is pointed out that cosmological particle production in our emergent FRW-type analogue universe, when compared to conventional semi-classical quantum gravity, is only temporarily robust against model-specific deviations from Lorentz invariance. Secondly, it is possible to carry out a straightforward quantitative analysis to estimate a suitable parameter regime for experimental (analogue) cosmology.

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