A Unified Model of Dark Energy Based on the Mandelstam-Tamm Uncertainty Relation

Abstract

It is commonly recognized now that Dark Energy (a cosmological constant) is of crucial importance both at the early (inflationary) stage of cosmological evolution and at the present time. However, little is known about its nature and origin till now. In particular, it is still unclear if the cosmological constant is a new fundamental constant or represents just an effective contribution from an underlying field theory. Here, we show that quite a promising and universal approach to this problemmight be based on the Mandelstam-Tamm uncertainty relation of quantum mechanics. As a result, we get an effective cosmological constant which is important throughout the entire history of the Universe. Besides, such an approach requires a substantial reconsideration of some other cosmological parameters, e.g., the age of the Universe.