School and Conference on Modern Mathematical Physics

9 - 14 September 2019, Belgrade, Serbia


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    E-mail: mphys10@ipb.ac.rs


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.


Institute of Physics Belgrade (University of Belgrade)
Belgrade, Serbia
Faculty of Mathematics (University of Belgrade)
Belgrade, Serbia
Mathematical Institute (Serbian Academy of Sciences and Arts)
Belgrade, Serbia
Faculty of Science (University of Kragujevac)
Kragujevac, Serbia
Serbian Academy of Sciences and Arts (SASA)
Belgrade, Serbia


Institute of Nuclear Sciences "VinĨa" (University of Belgrade)
Belgrade, Serbia
Institute of Physics (University of Kragujevac)
Kragujevac, Serbia
Faculty of Physics (University of Belgrade)
Belgrade, Serbia
Faculty of Sciences (University of Novi Sad)
Novi Sad, Serbia
School of Electrical Engineering (University of Belgrade)
Belgrade, Serbia
SEENET-MTP (Southeastern European Network in Mathematical and Theoretical Physics)
Nis, Serbia