Relativistic properties of Planck-scale-Generalized Uncertainty Principle

26 05/2014

Monday, 26 May. 2014, 11:30 - 12:30

Presenter: Flaminia Giacomini; University of Rome “La Sapienza”
Host: M. Aspelmeyer
Where: Schrödingerroom, Boltzmanngasse 5, 4th floor, room 3425

Abstract:

Many approaches to Quantum Gravity predict a minimum uncertaintyon position, of the order of the Planck lenght lP. A possibility of realisingthis is modifying Heisenberg Uncertainty Principle, introducing correctionsat the Planck scale. Through these corrections it seems possibleto put a lower bound on the uncertainty on position (Generalized UncertaintyPrinciple, GUP). This procedure is formalized with deformedcommutation relations between x and p coordinates. We study two suchmodels. We ensure that the models are compatible with the relativisticrequirements and find a deformed representation of the algebra of the Poincarè Group. Furthermore, we discuss the possibility of defining ascalar product on the Hilbert space.