Trans-Planckian physics and signature change events in Bose gas hydrodynamics

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dc.creatorWeinfurtner, Silke
dc.creatorWhite, Angela
dc.creatorVisser, Matt
dc.date2007-03-23
dc.date.accessioned2026-07-07T11:01:49Z
dc.date.available2026-07-07T11:01:49Z
dc.descriptionWe 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 particles 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 (2003) 043625]. We adapt the ideas presented by Dray et al. [Gen. Rel. Grav. 23 (1991) 967], 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 particle 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.
dc.description18 pages, revtex4
dc.identifierhttps://arxiv.org/abs/gr-qc/0703117
dc.identifierhttp://arxiv.org/abs/gr-qc/0703117
dc.identifierPhys.Rev.D76:124008,2007
dc.identifierdoi:10.1103/PhysRevD.76.124008
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/188066
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectSoft Condensed Matter
dc.subjectHigh Energy Physics - Theory
dc.titleTrans-Planckian physics and signature change events in Bose gas hydrodynamics
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