The Noncommutative Ward Metric

Noncommutative Corrections to the Robertson-Walker metric

Upon applying Chamseddine’s noncommutative deformation of gravity we obtain the leading order noncommutative corrections to the Robertson-Walker metric tensor. We get an isotropic inhomogeneous metric tensor for a certain choice of the noncommutativity parameters. Moreover, the singularity of the commutative metric at t = 0 is replaced by a more involved space-time structure in the noncommutati...

Metric Aspects of Noncommutative Homogeneous Spaces

For a closed cocompact subgroup Γ of a locally compact group G, given a compact abelian subgroup K of G and a homomorphism ρ : K̂ → G satisfying certain conditions, Landstad and Raeburn constructed equivariant noncommutative deformations C∗(Ĝ/Γ, ρ) of the homogeneous space G/Γ, generalizing Rieffel’s construction of quantum Heisenberg manifolds. We show that when G is a Lie group and G/Γ is conn...

The structural link between “external” metric and “internal” gauge symmetries in noncommutative geometry

The Big Ward

Velde. Neville Spearman. 10s. 6d. Life in a home for old people is vividly portrayed in this fine novel translated from the Dutch by Ellen and Roy Hulbert. The author, who knows her scene and subject well enough to be the daughter of her own story, presents a very convincing picture of the gradual decline of a group of elderly women in a large institution. There could be no more compelling stat...

Singlet scalar dark matter in noncommutative space

In this paper, we examine the singlet scalar dark matter annihilation to becoming the Standard Model particles in the non-commutative space. In the recent decades, many candidates of dark matter have been offered,  but our information about  the nature of dark matter is still limited. There are such particle candidates as  scalar matetr, fermion, boson, gauge boson, etc.; however, they have nei...