54 citations · 442 across the 35 of their papers we have counts for
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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…
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…
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…
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…
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…
Relativistic deformed kinematics from locality conditions in a generalized spacetime
J. M. Carmona, J. L. Cortes, J. J. Relancio
We show how a deformed composition law of four-momenta can be used to define, at the classical level, a modified notion of spacetime for a system of two particles through the cross…
Spacetime and deformations of special relativistic kinematics
J. M. Carmona, J. L. Cortes, J. J. Relancio
A deformation of special relativistic kinematics (possible signal of a theory of quantum gravity at low energies) leads to a modification of the notion of spacetime. At the classic…
Relativistic deformed kinematics from momentum space geometry
J. M. Carmona, J. L. Cortes, J. J. Relancio
We present a way to derive a deformation of special relativistic kinematics (possible low energy signal of a quantum theory of gravity) from the geometry of a maximally symmetric c…
Observers and their notion of spacetime beyond special relativity
J. M. Carmona, J. L. Cortes, J. J. Relancio
It is plausible that quantum gravity effects may lead us to a description of Nature beyond the framework of special relativity. In this case, either the relativity principle is bro…
Spacetime from locality of interactions in deformations of special relativity: the example of -Poincaré Hopf algebra
J. M. Carmona, J. L. Cortes, J. J. Relancio
A new proposal for the notion of spacetime in a relativistic generalization of special relativity based on a modification of the composition law of momenta is presented. Locality o…
Does a deformation of special relativity imply energy dependent photon time delays?
J. M. Carmona, J. L. Cortes, J. J. Relancio
Theoretical arguments in favor of energy dependent photon time delays from a modification of special relativity (SR) have met with recent gamma ray observations that put severe con…
Beyond Special Relativity at second order
J. M. Carmona, J. L. Cortes, J. J. Relancio
The study of generic, non-linear, deformations of Special Relativity parametrized by a high-energy scale , which was carried out at first order in in Phys.Rev. D86, 084032 (…