The exploration of the universe has recently entered a new era thanks to the multi-
messenger paradigm, characterized by a continuous increase in the quantity and quality of …

Motivated by ideas about quantum gravity, a tremendous amount of effort over the past
decade has gone into testing Lorentz invariance in various regimes. This review …

I review the current status of phenomenological programs inspired by quantum-spacetime
research. I stress in particular the significance of results establishing that certain data …

The existence of a fundamental ultraviolet scale, such as the Planck scale, may lead to
modifications of the dispersion relations for particles at high energies in some scenarios of …

We consider here the possibility of quantum gravity induced violation of Lorentz symmetry
(LV). Even if suppressed by the inverse Planck mass such LV can be tested by current …

Within loop quantum gravity we construct a coarse-grained approximation for the Einstein-
Maxwell theory that yields effective Maxwell equations in flat spacetime comprising Planck …

Based on string theory, black hole physics, doubly special relativity and some'thought'
experiments, minimal distance and/or maximum momentum are proposed. As alternatives to …

I report, emphasizing some key open issues and some aspects that are particularly relevant
for phenomenology, on the status of the development of “doubly-special” relativistic (“DSR”) …

Recent work has shown that dispersion relations with Planck scale Lorentz violation can
produce observable effects at energies many orders of magnitude below the Planck energy …

Special relativity asserts that physical phenomena appear the same to all unaccelerated
observers. This is called Lorentz symmetry and relates long wavelengths to short ones: if the …