Analogue gravity is a research programme which investigates analogues of general
relativistic gravitational fields within other physical systems, typically but not exclusively …

What is the fate of Lorentz symmetry at Planck scale? This question was the main theme of
the Winter School and, as the reader could see from the proceedings, there are many …

This Letter considers the effects of gravitational induced uncertainty on some well-known
quantum optics issues. First we will show that gravitational effects at quantum level destroy …

We investigate the transformation laws of coordinates in generalizations of special relativity
with two observer-independent scales. The request of covariance leads to simple formulas if …

Definition of velocity in doubly special relativity theories Page 1 Definition of velocity in doubly
special relativity theories Piotr Kosinski and Paweł Maslanka Department of Theoretical Physics …

We argue that a consistent definition of the velocity of a particle in generalizations of special
relativity with two observer-independent scales should be independent from the mass of the …

We discuss the definition of velocity as d E/d| p|, where E, p are the energy and momentum
of a particle, in doubly special relativity (DSR). If this definition matches dx/dt appropriate for …

Motivated by ultra-high-energy cosmic ray physics, we discuss all the possible alternatives
to the familiar Lorentz transformations of the momentum and the energy of a particle. Starting …

We study the commutators of the κ-deformed Poincaré algebra (κPA) in an arbitrary basis. It
is known that the two recently studied doubly special relativity theories correspond to …

This article provides a basic introduction to some concepts of non-commutative geometry.
The importance of quantum groups and quantum spaces is stressed. Canonical non …