TransPlanckian physics and signature change events in Bose gas hydrodynamics
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 Dr Angela White
 Michael Visser




Author(s)   Weinfurtner S, White A, Visser M 
Publication type   Article 
Journal   Physical Review D: Particles, Fields, Gravitation and Cosmology 
Year   2007 
Volume   76 
Issue   12 
Pages   
ISSN (print)   15507998 
ISSN (electronic)   10894918 



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We present an example of emergent spacetime as the hydrodynamic limit of a more fundamental microscopic theory. The lowenergy, longwavelength 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 finiteduration Euclideansignature 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 signaturechange 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 transPlanckian physics and signaturechange physics. Further we investigate the possibility of using the proposed signaturechange event as an amplifier for analogue “cosmological particle production” in condensed matter experiments. 



Publisher   American Physical Society 
URL   http://dx.doi.org/10.1103/PhysRevD.76.124008 
DOI   10.1103/PhysRevD.76.124008 

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