54 citations · 442 across the 35 of their papers we have counts for
13 papers · 1 filter
Unified field theory from Hamilton cotangent bundle geometry - The Einstein-Maxwell system
Christian Pfeifer, José Javier Relancio
The unification of all physical fields into one mathematical object and the derivation of all physical field equations from that object in one framework is a long-lasting endeavor…
White Paper and Roadmap for Quantum Gravity Phenomenology in the Multi-Messenger Era
R. Alves Batista, G. Amelino-Camelia, D. Boncioli +101
The unification of quantum mechanics and general relativity has long been elusive. Only recently have empirical predictions of various possible theories of quantum gravity been put…
Relative Locality in curved spacetimes and event horizons
F. Mercati, J. J. Relancio
In the past decade, significant efforts have been devoted to the study of Relative Locality, which aims to generalize the kinematics of relativistic particles to a nonlocal framewo…
A new perspective on Doubly Special Relativity
J. M. Carmona, J. L. Cortés, J. J. Relancio +1
Doubly special relativity considers a deformation of the special relativistic kinematics parametrized by a high-energy scale, in such a way that it preserves a relativity principle…
Relativistic deformed kinematics: from flat to curved spacetimes
J. J. Relancio
Doubly special relativity has been studied for the last twenty years as a way to go beyond the special relativistic kinematics, trying to capture residual effects of a quantum grav…
Time delays, choice of energy-momentum variables and relative locality in doubly special relativity
J. M. Carmona, J. L. Cortés, J. J. Relancio +1
Doubly Special Relativity (DSR) theories consider (quantum-gravity motivated) deformations of the symmetries of special relativity compatible with a relativity principle. The exist…
Exploring black hole mechanics in cotangent bundle geometries
J. J. Relancio, S. Liberati
The classical and continuum limit of a quantum gravitational setting could lead, at mesoscopic regimes, to a very different notion of geometry w.r.t. the pseudo-Riemannian one of s…
Geometry of multi-particle systems with a relativistic deformed kinematics and the relative locality principle
J. J. Relancio
There is a vast literature showing the connection between a deformed relativistic kinematics and a curved momentum space, and, in particular, how the former can be obtained from th…
Curved momentum space, locality, and generalized space-time
José Manuel Carmona, José Luis Cortés, José Javier Relancio
We establish the correspondence between two apparently unrelated but in fact complementary approaches of a relativistic deformed kinematics: the geometric properties of momentum sp…
Deformed relativistic kinematics on curved spacetime -- a geometric approach
Christian Pfeifer, José Javier Relancio
Deformed relativistic kinematics have been considered as a way to capture residual effects of quantum gravity. It has been shown that they can be understood geometrically in terms…
Towards a geometrical interpretation of rainbow geometries for quantum gravity phenomenology
J. J. Relancio, S. Liberati
In the literature, there are several papers establishing a correspondence between a deformed kinematics and a nontrivial (momentum dependent) metric. In this work, we study in deta…
Constraints on the deformation scale of a geometry in the cotangent bundle
J. J. Relancio, S. Liberati
There are several studies proposing phenomenological consequences of a deformation of special and general relativity. Here, we cast novel constraints on the deformation parameter o…
Phenomenological consequences of a geometry in the cotangent bundle
J. J. Relancio, S. Liberati
A deformed relativistic kinematics can be understood within a geometrical framework through a maximally symmetric momentum space. However, when considering this kind of approach, u…