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Cosmological Constant: A Lesson from Bose-Einstein Condensates

By Stefano Finazzi, Stefano Liberati and Lorenzo Sindoni

Abstract

The cosmological constant is one of the most pressing problems in modern physics. We address this issue from an emergent gravity standpoint, by using an analogue gravity model. Indeed, the dynamics of the emergent metric in a Bose-Einstein condensate can be described by a Poisson-like equation with a vacuum source term reminiscent of a cosmological constant. The direct computation of this term shows that in emergent gravity scenarios this constant may be naturally much smaller than the naive ground-state energy of the emergent effective field theory. This suggests that a proper computation of the cosmological constant would require a detailed understanding about how Einstein equations emerge from the full microscopic quantum theory. In this light, the cosmological constant appears as a decisive test bench for any quantum or emergent gravity scenario.Comment: revtex4, 5 pages, 1 figure

Topics: General Relativity and Quantum Cosmology, Condensed Matter - Quantum Gases
Year: 2012
DOI identifier: 10.1103/PhysRevLett.108.071101
OAI identifier: oai:arXiv.org:1103.4841
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