The observation of the inspiral and merger of compact binaries by the LIGO/Virgo
collaboration ushered in a new era in the study of strong-field gravity. We review current and …

More than 65 years ago, John Wheeler suggested that quantum uncertainties of the metric
would be of order one at the Planck scale, leading to large fluctuations in spacetime …

The gravitational wave observations GW150914 and GW151226 by Advanced LIGO provide
the first opportunity to learn about physics in the extreme gravity environment of coalescing …

Up to now we have introduced a fractional derivative definition for special simple function
classes. In the following section we will present common generalizations for arbitrary …

This monograph is an invitation both to the interested scientists and the engineers. It
presents a thorough introduction to the recent results of local fractional calculus. It is also …

In this review we consider in detail different theoretical topics associated with interaction in
the dark sector. We study linear and nonlinear interactions which depend on the dark matter …

We start from a hypothetical multi-fold universe U_ {MF}}, where the propagation of
everything is slower or equal to the speed of light and where entanglement extends the set …

The gravitational wave observations of colliding black holes have opened a new window
into the unexplored extreme gravity sector of physics, where the gravitational fields are …

Gravitational waves encode invaluable information about the nature of the relatively
unexplored extreme gravity regime, where the gravitational interaction is strong, nonlinear …

Following the same steps made for a scalar field in a parallel publication, we propose a
class of perturbative theories of quantum gravity based on fractional operators, where the …