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 …

Finsler geometry naturally appears in the description of various physical systems. In this
review, I divide the emergence of Finsler geometry in physics into three categories: dual …

The dawn of the twenty-first century came with very positive prospects for gravity, cosmology,
and astrophysics. Technological progress made it possible for cosmology to enter to its …

In the attempts to apply Finsler geometry to construct an extension of general relativity, the
question about a suitable generalization of the Einstein equations is still under debate …

This paper introduces a general mathematical framework for action-based field theories on
Finsler spacetimes. As most often fields on Finsler spacetime (eg, the Finsler fundamental …

The last three decades have witnessed the surge of quantum gravity phenomenology in the
ultraviolet regime as exemplified by the Planck-scale accuracy of time-delay measurements …

We describe the Hamilton geometry of the phase space of particles whose motion is
characterized by general dispersion relations. In this framework spacetime and momentum …

Planck scale modified dispersion relations are one way to capture the influence of quantum
gravity on the propagation of fundamental point particles effectively. We derive the time …

A deformed relativistic kinematics can be understood within a geometrical framework
through a maximally symmetric momentum space. However, when considering this kind of …

In this work, we study Berwald spacetimes and their vacuum dynamics, where the latter are
based on a Finsler generalization of Einstein's equations derived from an action on the unit …