This is a book on the theory of the special relativity that, on the one hand, has been written
from a critical perspective; and on the other, suggests a way to construct a discrete and …

I was educated first as a geologist and then as a mathematician. For that reason my clash
with the actual infinity was devastating for my original scientific project (thermodynamics of …

Investigations of the possibility that some novel" quantum" properties of space–time might
induce a Planck-scale modification of the energy/momentum dispersion relation focused at …

The last decade of research on κ-Minkowski noncommutative spacetime has been strongly
characterized by a controversy concerning the speed of propagation of massless particles …

This article presents alternative Hamiltonian and Lagrangian formalisms for relativistic
mechanics using proper time and proper Lagrangian coordinates in 1+ 1 dimensions as …

A bstract Ever since the work of von Ignatowsky circa 1910 it has been known (if not always
widely appreciated) that the relativity principle, combined with the basic and fun-damental …

We lay down the foundations of particle dynamics in mechanical theories that satisfy the
relativity principle and whose kinematics can be formulated employing reference frames of …

Locality of interactions is an essential ingredient of Special Relativity. Recently, a new
framework under the name of relative locality [G. Amelino-Camelia, L. Freidel, J. Kowalski …

The discrete nature of space and time is introduced here as a formal consequence of the
more than probable inconsistency of the Hypothesis of the Actual Infinity. This space-time …

We show in general that for a relativistic theory with curved momentum space, ie a theory
with deformed relativistic symmetries, the physical velocity of particles coincides with their …