Mathematics and Statistics

Masters of Science Thesis Defense
Primordial fluctuations from deformed uncertainty relations

Andrew Day (UNB)

Monday, August 19, 2013 at 2:00 pm

Tilley Hall Room 104

We consider the effects of modified uncertainty relations on the generation of primordial perturbations during inflation. Our approach involves high-energy deformations of the commutator algebra between the Fourier-transformed amplitude and momentum of scalar perturbations. We find that a certain class of deformations of the Heisenberg algebra leads to primordial spectra that are potentially consistent with current data yet observationally distinguishable from the standard case. On the other hand, another class of deformations results in drastically altered predictions and is hence likely to be ruled out by current cosmological probes.

Mr Day is a graduate student of the Mathematics/Statistics GAU

This talk is presented in partial fulfillment of the requirements for the degree