An effective non-commutative loop quantum cosmology

[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.

[发布机构] Departamento de Física de la DCel, Universidad de Guanajuato, Campus León, Guanajuato; C.P. 37150, Mexico^1

[效力级别] 数学

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