5 citations · 15 across the 5 of their papers we have counts for
6 papers
On the Nature of the Relativity Principle
M. Toller
We discuss the nature and a general formulation of the relativity principle and we show that it can be justified starting from a strictly operational point of view. We give some re…
Lagrangian and Presymplectic Particle Dynamics with Maximal Acceleration
M. Toller
We discuss some Lagrangian and presymplectic models concerning test particles in electromagnetic and gravitational fields, with the aim of describing an upper bound to the accelera…
Geometries of Maximal Acceleration
M. Toller
We discuss and compare several geometric structures which imply an upper bound to the acceleration of a particle measured in its rest system. While all of them have the same implic…
Homogeneous Spaces of the Lorentz Group
M. Toller
We present a classification, up to isomorphisms, of all the homogeneous spaces of the Lorentz group with dimension lower than six. At the same time, we classify, up to conjugation,…
Lorentz Symmetry and Ultra-High-Energy Cosmic Rays
M. Toller
We discuss the possibility of explaining the observation of ultra-high-energy cosmic rays with energy above the GZK cutoff, saving the relativity principle and the (possibly deform…
Covariance Systems on the Projective Line
N. Pinamonti, M. Toller
We study the positive-operator-valued measures on the projective real line covariant with respect to the projective group, assuming that the energy is a positive operator. This pro…