An effective non-commutative loop quantum cosmology

10th Mexican School on Gravitation and Mathematical Physics: "Reaching a Century: Classical and Modified General Relativity's Attempts to explain de evolution of the Universe"'

物理学;数学

Espinoza-García, Abraham^1 ; Sabido, M.^1 ; Socorro, J.^1

Departamento de Física de la DCel, Universidad de Guanajuato, Campus León, Guanajuato

C.P. 37150, Mexico^1

关键词: Commutativity;    Degree of freedom;    Friedmann equation;    Holonomy;    Loop quantum cosmologies;    Non-commutative;    Volume representations;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/654/1/012003/pdf
DOI  :  10.1088/1742-6596/654/1/012003

来源: IOP

【 摘 要 】

We construct a Non-Commutative extension of the Loop Quantum Cosmology effective scheme for the open FLRW model. We start from the holonomized Hamiltonian and implement a canonical non-commutativity among the matter degree of freedom and the holonomy variable, in the volume representation. We obtain a noncommutativie extension of the modified Friedmann equation which arises in Loop Quantum Cosmology for a particular case of the theta deformation.