Galileo Symmetries in Polymer Particle Representation

Details Galileo Symmetries in Polymer Particle Representation Galileo Symmetries in Polymer Particle Representation

2006-12-24

arxiv.org/abs/gr-qc/0612155v3

Class.Quant.Grav.24:2603-2620,2007

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

20 pages; version to appear in Class. Quant. Grav

Scientific paper

10.1088/0264-9381/24/10/007

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.

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