Dark Energy, Induced Cosmological Constant and Matter-Antimatter Asymmetry from Non Commutative Geometry

Abstract

Using a non commutative space geometry based on the deformation of the canonical commutation relations, a Friedman like cosmological model is constructed. Despite its smallness, the non commutativity parameter plays an important role in the evolution of the universe and unification of dark matter and energy. It give also a plausible mechanism to explain the matter‐antimatter asymmetry.