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20112018
most citedHamilton geometry: Phase space geometry from modified dispersion relations

78 citations · 391 across the 14 of their papers we have counts for

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gr-qc2018

Quantum Gravity phenomenology and metric formalism

Niccoló Loret, Leonardo Barcaroli, Giulia Gubitosi

In this proceedings for the MG14 conference, we discuss the construction of a phenomenology of Planck-scale effects in curved spacetimes, underline a few open issues and describe s…

gr-qc2018★ 2 cited

Hamilton Geometry - Phase Space Geometry from Modified Dispersion Relations

Leonardo Barcaroli, Lukas K. Brunkhorst, Giulia Gubitosi +2

Quantum gravity phenomenology suggests an effective modification of the general relativistic dispersion relation of freely falling point particles caused by an underlying theory of…

gr-qc2017★ 2 cited

Planck-scale dual-curvature lensing and spacetime noncommutativity

Giovanni Amelino-Camelia, Leonardo Barcaroli, Stefano Bianco +1

It was recently realized that Planck-scale momentum-space curvature, which is expected in some approaches to the quantum-gravity problem, can produce dual-curvature lensing, a feat…

gr-qc2017★ 43 cited

Curved spacetimes with local -Poincaré dispersion relation

Leonardo Barcaroli, Lukas K. Brunkhorst, Giulia Gubitosi +2

We use our previously developed identification of dispersion relations with Hamilton functions on phase space to locally implement the -Poincaré dispersion relation in the momen…

gr-qc2016★ 40 cited

Planck-scale-modified dispersion relations in homogeneous and isotropic spacetimes

Leonardo Barcaroli, Lukas K. Brunkhorst, Giulia Gubitosi +2

The covariant understanding of dispersion relations as level sets of Hamilton functions on phase space enables us to derive the most general dispersion relation compatible with hom…

gr-qc2016★ 16 cited

Quantum-gravity-induced dual lensing and IceCube neutrinos

Giovanni Amelino-Camelia, Leonardo Barcaroli, Giacomo D'Amico +2

Momentum-space curvature, which is expected in some approaches to the quantum-gravity problem, can produce dual redshift, a feature which introduces energy dependence of the travel…

gr-qc2016★ 56 cited

IceCube and GRB neutrinos propagating in quantum spacetime

Giovanni Amelino-Camelia, Leonardo Barcaroli, Giacomo D'Amico +2

Two recent publications have reported intriguing analyses, tentatively suggesting that some aspects of IceCube data might be manifestations of quantum-gravity-modified laws of prop…

gr-qc2015★ 23 cited

Kinematics of particles with quantum de Sitter symmetries

Leonardo Barcaroli, Giulia Gubitosi

We present the first detailed study of the kinematics of free relativistic particles whose symmetries are described by a quantum deformation of the de Sitter algebra, known as -…

gr-qc2015★ 78 cited

Hamilton geometry: Phase space geometry from modified dispersion relations

Leonardo Barcaroli, Lukas K. Brunkhorst, Giulia Gubitosi +2

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

gr-qc2015

Rainbow metric formalism and Relative Locality

Niccoló Loret, Leonardo Barcaroli

This proceeding is based on a talk prepared for the XIII Marcell Grossmann meeting. We summarise some results of work in progress in collaboration with Giovanni Amelino-Camelia abo…

gr-qc2014★ 77 cited

Realization of DSR-relativistic symmetries in Finsler geometries

Giovanni Amelino-Camelia, Leonardo Barcaroli, Giulia Gubitosi +2

Finsler geometry is a well known generalization of Riemannian geometry which allows to account for a possibly non trivial structure of the space of configurations of relativistic p…

gr-qc2013★ 25 cited

Dual redshift on Planck-scale-curved momentum spaces

Giovanni Amelino-Camelia, Leonardo Barcaroli, Giulia Gubitosi +1

Several approaches to the investigation of the quantum-gravity problem have provided "theoretical evidence" of a role for the Planck scale in characterizing the geometry of momentu…

gr-qc2012★ 3 cited

Longitudinal and transverse relativity of spacetime locality in Planck-scale-deformed phase spaces

Niccoló Loret, Leonardo Barcaroli, Giacomo Rosati

We summarize some of the results we obtained in arXiv:1006.2126 (Physical Review Letters 106, 071301), arXiv:1102.4637 (Physics Letters B 700, 150-156) and in arXiv:1107.3334, givi…