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A real Lorentz-FitzGerald contraction

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dc.creator Barceló, Carlos
dc.creator Jannes, Gil
dc.date 2008-04-03T00:39:26Z
dc.date 2008-04-03T00:39:26Z
dc.date 2008-03-04
dc.date.accessioned 2017-01-31T01:01:27Z
dc.date.available 2017-01-31T01:01:27Z
dc.identifier Found Phys (2008) 38: 191-199
dc.identifier arXiv:0705.4652v2
dc.identifier 1572-9516
dc.identifier http://hdl.handle.net/10261/3425
dc.identifier 10.1007/s10701-007-9196-7
dc.identifier.uri http://dspace.mediu.edu.my:8181/xmlui/handle/10261/3425
dc.description Submitted on 31 May 2007 (v1), last revised 4 Mar 2008 (this version, v2).-- 6 pages, no figures. Minor changes reflect published version.-- Final version of the paper in: http://www.springer.com/physics/journal/10701.
dc.description Many condensed matter systems are such that their collective excitations at low energies can be described by fields satisfying equations of motion formally indistinguishable from those of relativistic field theory. The finite speed of propagation of the disturbances in the effective fields (in the simplest models, the speed of sound) plays here the role of the speed of light in fundamental physics. However, these apparently relativistic fields are immersed in an external Newtonian world (the condensed matter system itself and the laboratory can be considered Newtonian, since all the velocities involved are much smaller than the velocity of light) which provides a privileged coordinate system and therefore seems to destroy the possibility of having a perfectly defined relativistic emergent world. In this essay we ask ourselves the following question: In a homogeneous condensed matter medium, is there a way for internal observers, dealing exclusively with the low-energy collective phenomena, to detect their state of uniform motion with respect to the medium? By proposing a thought experiment based on the construction of a Michelson-Morley interferometer made of quasi-particles, we show that a real Lorentz-FitzGerald contraction takes place, so that internal observers are unable to find out anything about their `absolute ' state of motion. Therefore, we also show that an effective but perfectly defined relativistic world can emerge in a fishbowl world situated inside a Newtonian (laboratory) system. This leads us to reflect on the various levels of description in physics, in particular regarding the quest towards a theory of quantum gravity.
dc.description This work has been funded by the Spanish MEC under project FIS2005-05736-C03-01. G.J. was also supported by CSIC grant I3P-BPD2005 of the I3P programme, cofinanced by the European Social Fund.
dc.description Peer reviewed
dc.format 133997 bytes
dc.format application/pdf
dc.language eng
dc.publisher Springer
dc.rights openAccess
dc.subject Einstein gravity
dc.subject Emergent phenomena
dc.subject Effective metric
dc.subject Lorentz-FitzGerald contraction
dc.subject Michelson-Morley experiment
dc.title A real Lorentz-FitzGerald contraction
dc.type Artículo


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