54 citations · 442 across the 35 of their papers we have counts for
35 papers
Thermodynamics of the -deformed Kittel--Shore model
V. Mariscal, J. J. Relancio
The Kittel--Shore Hamiltonian characterizes spins with identical long-range interactions, and the coalgebra has been proven to be a symmetry of this model, w…
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…
Revisiting noncommutative spacetimes from the relative locality principle
J. J. Relancio
Relativistic deformed kinematics leads to a loss of the absolute locality of interactions. In previous studies, some models of noncommutative spacetimes in a two-particle system th…
Deformations of the symmetric subspace of qubit chains
Angel Ballesteros, Ivan Gutierrez-Sagredo, Jose de Ramon +1
The symmetric subspace of multi-qubit systems, that is, the space of states invariant under permutations, is commonly encountered in applications in the context of quantum informat…
Quantum group deformation of the Kittel--Shore model
A. Ballesteros, I. Gutiérrez-Sagredo, V. Mariscal +1
The Kittel--Shore (KS) Hamiltonian describes spins with long-range interactions that are identically coupled; therefore, this (mean-field) model is also known as the Heisenberg…
Doubly special relativity as a non-local quantum field theory
J. J. Relancio, L. Santamaría-Sanz
In this work, we explore the quantum theories of the free massive scalar, the massive fermionic, and the electromagnetic fields, in a doubly special relativity scenario. This const…
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…
Deformed relativistic symmetry principles
Michele Arzano, Giulia Gubitosi, José Javier Relancio
We review the main features of models where relativistic symmetries are deformed at the Planck scale. We cover the motivations and links to other quantum gravity approaches. We des…
Decay of superluminal neutrinos in the collinear approximation
J. M. Carmona, J. L. Cortés, J. J. Relancio +1
The kinematics of the three body decay, with a modified energy-momentum relation of the particles due to a violation of Lorentz invariance, is presented in detail in the collinear…
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…
Geometrizing the Klein-Gordon and Dirac equations in Doubly Special Relativity
S. A. Franchino-Viñas, J. J. Relancio
In this work we discuss the deformed relativistic wave equations, namely the Klein--Gordon and Dirac equations in a Doubly Special Relativity scenario. We employ what we call a geo…
Double Quantization
Giulia Gubitosi, Fedele Lizzi, José Javier Relancio +1
In a quantum gravity theory, it is expected that the classical notion of spacetime disappears, leading to a quantum structure with new properties. A possible way to take into accou…
Quantum gravity phenomenology at the dawn of the multi-messenger era -- A review
A. Addazi, J. Alvarez-Muniz, R. Alves Batista +157
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 experim…
Modification of the mean free path of very high energy photons due to a relativistic deformed kinematics
J. M. Carmona, J. L. Cortés, J. J. Relancio +2
Ultra-high-energy physics is about to enter a new era thanks to the impressive results of experiments such as the "Large High Altitude Air Shower Observatory" (LHAASO), detecting p…
Particle-antiparticle asymmetry in a relativistic deformed kinematics
José Manuel Carmona, José Luis Cortés, José Javier Relancio
Relativistic deformed kinematics are usually considered as a way to capture residual effects of a fundamental quantum gravity theory. These kinematics present a non-commutative add…
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…
Beyond special relativity and the notion of spacetime
J. J. Relancio
In this Ph.D. thesis several topics in doubly special relativity are explored. The starting point of this theory is very different from other perspectives: it is not a fundamental…