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SUMMARY:Anna Pachol (Queen Mary University of London)
DTSTART:20201208T141500Z
DTEND:20201208T154500Z
DTSTAMP:20260423T024425Z
UID:UTPhysics/9
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/UTPhysics/9/
 ">Observables and quantum spacetimes</a>\nby Anna Pachol (Queen Mary Unive
 rsity of London) as part of Theoretical physics seminar @ Tartu\n\nLecture
  held in Physicum room A101\, University of Tartu\, Estonia.\n\nAbstract\n
 Noncommutative geometry\, as the generalised notion of geometry\, can be h
 elpful in providing the phenomenological models quantifying the effects of
  quantum gravity. The noncommutative nature allows for obtaining quantum g
 ravitational corrections to the classical solutions. One of the mostly stu
 died possible phenomenological effects of quantum gravity is the modificat
 ions in wave dispersion.\n\nIn my talk I will introduce the mathematical f
 ramework for quantum spacetimes within the Hopf algebras and Drinfeld twis
 ts formalisms. Twisted differential calculus and twisting generators of th
 e Hopf algebra symmetry allow on a fresh look on modifications in dispersi
 on relations and offer a proper choice of physical observables as generato
 rs of the quantum Lie algebra of symmetries. Wave equations on noncommutat
 ive spaces are derived from a quantum Hodge star operator. The formalism a
 lso allows for study of the curved backgrounds. I will present recent resu
 lts on propagation of waves in noncommutative cosmology and on the modific
 ation of the dispersion relations due to noncommutativity combined with cu
 rvature of spacetime.\n\nThe talk will base on the results developed in co
 llaboration with P. Aschieri and A. Borowiec [Observables and Dispersion R
 elations in k-Minkowski Spacetime J. High Energ. Phys. 2017\, 152 (2017) a
 rXiv:1703.08726\, Dispersion Relations in κ-Noncommutative Cosmology arXi
 v:2009.01051].\n
LOCATION:https://researchseminars.org/talk/UTPhysics/9/
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