Speaker
Description
We present the formalism of Deformed Commutation Relations, consisting in a modification of the standard Heisenberg commutator (or of the Poisson brackets in the semiclassical limit) inspired by the Generalised Uncertainty Principle representation, and its implementation to the cosmological Friedmann-Lemaitre-Robertson-Walker isotropic model. One specific form had previously been shown to yield the same exact dynamics of effective Loop Quantum Cosmology, removing the cosmological singularities and replacing them with a Bounce. Here we use this modified background to compute the evolution of perturbations during the Inflationary expansion. We obtain a modified time-dependent mass term for the Mukhanov-Sasaki equation and compare the resulting Power Spectrum with those obtained in Loop Quantum Cosmology, such as with the Hybrid or the Dressed Metric approaches.