The physical interpretation and eventual fate of gravitational singularities in a theory
surpassing classical general relativity are puzzling questions that have generated a great …

In the curved spacetime background, the trajectory of a spinning test particle will deviate
from the geodesic. Using the effective potential method, we study the motion of a spinning …

In this paper, we consider the Wheeler–DeWitt equation modified by a deformation of the
second quantized canonical commutation relations. Such modified commutation relations …

In this paper, we formulate the statistical mechanics in Snyder space that supports the
existence of a minimal length scale. We obtain the corresponding invariant Liouville volume …

In the context of phenomenological models of quantum gravity, it is claimed that ultraviolet
(UV) and infrared (IR) natural cutoffs can be realized from local deformations of the …

We study the representations of the three‐dimensional Euclidean Snyder‐de Sitter algebra.
This algebra generates the symmetries of a model admitting two fundamental scales (Planck …

We probe into universes filled with quark gluon plasma with non-zero viscosities. In
particular, we study the evolution of a universe with non-zero shear viscosity motivated by …

Polymer quantization is a non-standard representation of the quantum mechanics that was
inspired by loop quantum gravity. To study the associated statistical mechanics, one needs …

We provide a new approach to study the noncommutative effects on the neutral Dirac
particle with anomalous magnetic or electric dipole moment on the noncommutative plane …

We introduce a non-commutative product for curved spacetimes, that can be regarded as a
generalization of the Rieffel (or Moyal-Weyl) product. This product employs the exponential …