ABSTRACT

Starting with the original subquantum dark-energy model, the

current accelerating phase of the evolution of the universe is

considered by constructing the most economical cosmic models

that use just general relativity and some dominating quantum

effects associated with the probabilistic description of quantum

physics. Two of such models are explicitly analyzed. They are based

on the existence of a subquantum potential and correspond to

a generalization of the spatially flat exponential model of the de

Sitter space. The thermodynamics of these two cosmic solutions is

discussed, using the second principle as a guide to choose which

among the two is more feasible. This chapter also discusses the

relativistic physics onwhich themodels are based, their holographic

description, some implications from the classical energy conditions,

and an interpretation of dark energy in terms of the entangled

energy of the universe. Also contained in this chapter is a discussion

of the quantum cosmic models that result from the existence of a

nonzero entropy of entanglement. In such a realm, we obtain new

cosmic solutions for any arbitrary number of spatial dimensions,

studying the stability of these solutions, as well as the emergence

of gravitational waves in the realm of the most general models. The

occurrence of the scaling accelerated phase after matter dominance

has been shown to be rather associated with the existence of

subquantum potentials, which make the effective mass of the matter

particles to vanish at the coincidence time so that a cosmic system

where the matter dominance phase is followed by accelerating

expansion can be allowed.