Nonlocal Phenomena from Noncommutative Pre-Planckian Regime

Abstract

A model unifying general relativity with quantum mechanics is further developed. It is based on a noncommutative geometry which supposedly modelled the universe in its pre-Planckian epoch. The geometry is totally nonlocal with no time and no space in their usual meaning. They emerge only in the transition process from the noncommutative epoch to the standard space-time physics. Observational aspects of this model are discussed. It is shown that various nonlocal phenomena can be explained as remnants of the primordial noncommutative epoch. In particular, we explain the Einstein-Podolsky-Rosen experiment, the horizon problem in cosmology, and the appearance of singularities in general relativity.