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Lookup NU author(s): Dr Angela White, Michael Visser
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We present an example of emergent spacetime as the hydrodynamic limit of a more fundamental microscopic theory. The low-energy, long-wavelength limit in our model is dominated by collective variables that generate an effective Lorentzian metric. This system naturally exhibits a microscopic mechanism allowing us to perform controlled signature change between Lorentzian and Riemannian geometries. We calculate the number of quasiparticles produced from a finite-duration Euclidean-signature event, where we take the position that to a good approximation the dynamics is dominated by the evolution of the linearized perturbations, as suggested by Calzetta and Hu [Phys. Rev. A 68, 043625 (2003)]. We adapt the ideas presented by Dray et al. [Gen. Relativ. Gravit. 23, 967 (1991)], such that the field and its canonical momentum are continuous at the signature-change event. We investigate the interplay between the underlying microscopic structure and the emergent gravitational field, focussing on its impact on quasiparticle production in the ultraviolet regime. In general, this can be thought of as the combination of trans-Planckian physics and signature-change physics. Further we investigate the possibility of using the proposed signature-change event as an amplifier for analogue “cosmological particle production” in condensed matter experiments.
Author(s): Weinfurtner S, White A, Visser M
Publication type: Article
Publication status: Published
Journal: Physical Review D: Particles, Fields, Gravitation and Cosmology
Year: 2007
Volume: 76
Issue: 12
ISSN (print): 1550-7998
ISSN (electronic): 1089-4918
Publisher: American Physical Society
URL: http://dx.doi.org/10.1103/PhysRevD.76.124008
DOI: 10.1103/PhysRevD.76.124008
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