Speaker
Description
Roger Penrose's Weyl curvature hypothesis can be extended to the quantum regime, where 'past singularities' have to be replaced by 'regions of small enough scale factors' in the configuration space of the wave function of the universe. At a fundamental level the justification for the quantum version of the Weyl Curvature hypothesis is expected to come from a full quantum theory of gravity : quantum geometrodynamics. Here we study a toy model of the universe (for a small scale factor, i.e. early universe) which has two scalar fields. We calculate the linear (entanglement) entropy which increases with the scale factor and hence the semi-classical time. This forms the basis of an arrow of time in the universe and can help understand the origin of irreversibility in our universe.
