As the interaction between the black holes and highly energetic infalling charged matter
receives quantum corrections, the basic laws of black hole mechanics have to be carefully …

A bstract We consider gauge theories on Poisson manifolds emerging as semiclassical
approximations of noncommutative spacetime with Lie algebra type noncommutativity. We …

In this work we discuss the deformed relativistic wave equations, namely the Klein–Gordon
and Dirac equations in a doubly special relativity scenario. We employ what we call a …

A bstract We discuss the construction of κ-Poincaré invariant actions for gauge theories on κ-
Minkowski spaces. We consider various classes of untwisted and (bi) twisted differential …

A bstract The Poisson gauge algebra is a semi-classical limit of complete non-commutative
gauge algebra. In the present work we formulate the Poisson gauge theory which is a …

A natural star product for 4-d κ-Minkowski space is used to investigate various classes of κ-
Poincaré invariant scalar field theories with quartic interactions whose commutative limit …

A bstract We consider a family of κ-Poincaré invariant scalar field theories on 4-d κ-
Minkowski space with quartic orientable interaction, that is for which ϕ and its conjugate ϕ† …

We have calculated the hydrogen atom spectrum on curved noncommutative space defined
by the commutation relations $[\hat {x}^{i},\hat {x}^{j}]={\rm i}\theta\hat {\omega}^{ij}(\hat {x}) …

In this paper, we derive corrections to the geodesic equation due to the κ-deformation of
curved spacetime, up to the first order in the deformation parameter a. This is done by …

This Letter is based on the κ-Dirac equation, derived from the κ-Poincaré–Hopf algebra. It is
shown that the κ-Dirac equation preserves parity while breaks charge conjugation and time …