Speaker
Description
Quantum gravity is expected to introduce quantum aspects into the description of reference
frames. Here we set the stage for exploring how quantum gravity induced deformations of classical
symmetries could modify the transformation laws among reference frames in an effective regime.
We invoke the quantum group SUq(2) as a description of deformed spatial rotations and interpret
states of a representation of its algebra as describing the relative orientation between two reference
frames. This leads to a quantization of one of the Euler angles and to the new paradigm of agencydependence: space is reconstructed as a collection of fuzzy points, exclusive to each agent, which
depends on their choice of reference frame. Each agent can choose only one direction in which
points can be sharp, while points in all other directions become fuzzy in a way that depends on
this choice. Two agents making different choices will thus observe the same points with different
degrees of fuzziness.
Arxiv link (https://arxiv.org/pdf/2211.11347.pdf)
