Abstracts

Maja Buric

Singularity resolution in fuzzy de Sitter cosmology

We analyze the spectrum of time observable in fuzzy de Sitter cosmological model. We find that cosmic time is not a self-adjoint operator but appropriate restrictions of the space of physical states give self-adjoint extensions which have discrete spectrum. Calculated on physical states, the radius of the universe is bounded below, which resolves the big bang singularity. Another immediate consequence of the model is breaking of the original symmetry at the Planck scale.