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Galileo symmetries in polymer particle representation

Dah-Wei Chiou

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To illustrate the conceptual problems for the low-energy symmetries in the continuum of spacetime emerging from the discrete quantum geometry, Galileo symmetries are investigated in the polymer particle representation of a non-relativistic particle as a simple toy model. The complete Galileo transformations (translation, rotation and Galileo boost) are naturally defined in the polymer particle Hilbert space and Galileo symmetries are recovered with highly suppressed deviations in the low-energy regime from the underlying polymer particle description.


PACS

04.60.Pp Loop quantum gravity, quantum geometry, spin foams

MSC

83Cxx General relativity

Subjects

Gravitation and cosmology

Dates

Issue 10 (21 May 2007)

Received 4 January 2007, in final form 13 March 2007

Published 30 April 2007



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