… QUANTUM NON-COMMUTATIVITY The non-commutative version of fractional quantum
cosmology presents several difficulties due to the prefactor that remains associated with the …

… 3 we present the commutative quantum solutions for the cosmological Bianchi type I, … Λ
cosmological term. In Sects. 4 and 5, the corresponding non commutative classical and quantum …

… by the Gelfand–Naimark correspondence, noncommutative spaces can only be defined through
… for modified gravity. We will see later in the book, when we discuss quantum cosmology, …

… quantum cosmology, we apply the developed GUP quantum theory to the dynamics of the
Bianchi … , comparing it to what happens in the ordinary quantum scenario. Finally, in Sect. 6 we …

… for quantum cosmology that could lead to further insights and directives towards quantum
gravity at scales where the implications of the uncertainty principle of quantum mechanics and …

… In section 4 we describe the evolution of cosmological perturbations of the ΛCDM two-… the
quantum Seiberg-Witten / Cosmology correspondence, which is a new form of gauge / gravity …

… quantum gravity theories in order to describe our Universe at such early age. From those
quantum gravity … because it may fluctuate due to quantum uncertainties. Even more radical …

… scope of commutative quantum gravity, and subsequently, we introduce elements of the
present formulation, which seeks to advance the field of a non-commutative theoretical proposal. …

… noncommutative classical and quantum cosmology of such … This analysis is considered in
particular with the Bianchi type … classical solutions for the cosmological Bianchi type I, in the …

… It is our intent to go beyond the present paper to relationships with loop quantum gravity. If
we … Identity The purpose of this section is to show how the Bianchi identity (see below for its …