  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.

General Relativity and Quantum Cosmology