Nonassociative geometry: Friedmann-Robertson-Walker spacetime

Abstract

This paper we study the effects of a noncommutativity minisuperspace on a FRW universe with cosmological constant. A relationship between the non commutative parameter and A is obtained. " 2008 American Institute of Physics.",,,,,,"10.1063/1.3058570",,,"http://hdl.handle.net/20.500.12104/43167","http://www.scopus.com/inward/record.url?eid=2-s2.0-61849166100&partnerID=40&md5=031704ae2b4dbd91a026b7e54081718b",,,,,,,,"AIP Conference Proceedings",,"201

207",,"1083",,"Scopus",,,,,,"Dark energy; Non commutativity; Quantum cosmology",,,,,,"Non commutativity and ?",,"Conference Paper" "44947","123456789/35008",,"López, G., Departamento de Física, Universidad de Guadalajara, Apartado postal 4-137, 44410 Guadalajara, Jalisco, Mexico",,"Lopez, G.",,"1999",,"The dynamical equations for an autonomous system are expressed in terms of constants of motion of the system. The general change of variable transformation of the dynamical system is studied including action-angle like transformations. Examples of this non-Hamiltonian approach are given, and the approach is applied to the study of radiation damping suffered by a charged particle inside the beam circulating around an accelerator ring.",,,,,,,,,"http://hdl.handle.net/20.500.12104/43168","http://www.scopus.com/inward/record.url?eid=2-s2.0-18844361887&partnerID=40&md5=7ba8b4514de9d738f23ba4027055eb3d",,,,,,"6",,"Revista Mexicana de Fisica",,"551

556",,"45",,"Scopus",,,,,,"Constant of motion; Dissipation; Non-hamiltonian systems",,,,,,"Non hamiltonian autonomous systems",,"Article" "44948","123456789/35008",,"Nesterov, A.I., Departamento de Física, CUCEI, Universidad de Guadalajara, Av. Revolución 1500, Guadalajara, CP 44420 Jalisco, Mexico; Sabinin, L.V., Departamento de Física, CUCEI, Universidad de Guadalajara, Av. Revolución 1500, Guadalajara, CP 44420 Jalisco, Mexico",,"Nesterov, A.I.

Sabinin, L.V.",,"2006",,"In (Phys. Rev. D 62 (2000) 081501(R)) we proposed a unified description of continuum and discrete spacetime based on nonassociative geometry. It follows from our approach that at distances comparable with Planck length the standard concept of spacetime might be replaced by the nonassociative discrete structure, and nonassociativity is the algebraic equivalent of the curvature. In the framework of the nonassociative geometry we introduce discrete Friedmann-Robertson-Walker (FRW) model and show that the standard FRW spacetime appears as its 'continuum limit'. " 2006 World Scientific Publishing Company.