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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 times of ultrarelativistic particles, and dual lensing, a…

General Relativity and Quantum Cosmology · Physics 2017-06-01 Giovanni Amelino-Camelia , Leonardo Barcaroli , Giacomo D'Amico , Niccoló Loret , Giacomo Rosati

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 momentum space. One of the main obstructions for a full…

General Relativity and Quantum Cosmology · Physics 2013-10-29 Giovanni Amelino-Camelia , Leonardo Barcaroli , Giulia Gubitosi , Niccoló Loret

Several recent studies have considered the implications for astrophysics and cosmology of some possible nonclassical properties of spacetime at the Planck scale. The new effects, such as a Planck-scale-modified energy-momentum (dispersion)…

General Relativity and Quantum Cosmology · Physics 2014-11-20 Antonino Marciano , Giovanni Amelino-Camelia , Nicola Rossano Bruno , Giulia Gubitosi , Gianluca Mandanici , Alessandro Melchiorri

Curvature is a key notion in General Relativity, characterizing the local physical properties of spacetime. By contrast, the concept of curvature has received scant attention in nonperturbative quantum gravity. One may even wonder whether…

General Relativity and Quantum Cosmology · Physics 2023-06-27 R. Loll

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 gravity theory. In particular, in doubly special relativity the…

General Relativity and Quantum Cosmology · Physics 2022-07-19 J. J. Relancio

Gravitational lensing introduces the possibility of multiple (macroscopic) paths from an astrophysical neutrino source to a detector. Such a multiplicity of paths can allow for quantum mechanical interference to take place that is…

High Energy Physics - Phenomenology · Physics 2012-08-27 Roland M. Crocker , Carlo Giunti , and Daniel J. Mortlock

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 theory, but it is considered a low energy limit of a quantum…

High Energy Physics - Theory · Physics 2020-08-20 J. J. Relancio

This Letter investigates the formation of quantum droplets in curved spacetime, highlighting the significant influence of curvature on the formation and properties of these objects. While our computations encompass various dimensions, we…

High Energy Physics - Theory · Physics 2025-12-18 Antonino Flachi , Takahiro Tanaka

In this paper we construct the action describing dynamics of the particle moving in curved spacetime, with a non-trivial momentum space geometry. Curved momentum space is the core feature of theories where relative locality effects are…

High Energy Physics - Theory · Physics 2013-07-11 Jerzy Kowalski-Glikman , Giacomo Rosati

Over the last decade a growing number of quantum-gravity researchers has been looking for opportunities for the first ever experimental evidence of a Planck-length quantum property of spacetime. These studies are usually based on the…

General Relativity and Quantum Cosmology · Physics 2013-09-24 Giovanni Amelino-Camelia

The interest of part of the quantum-gravity community in the possibility of Planck-scale-deformed Lorentz symmetry is also fueled by the opportunities for testing the relevant scenarios with analyses, from a signal-propagation perspective,…

High Energy Physics - Theory · Physics 2013-01-22 Giovanni Amelino-Camelia , Antonino MarcianÒ , Marco Matassa , Giacomo Rosati

Over the last few years the study of possible Planck-scale departures from classical Lorentz symmetry has been one of the most active areas of quantum-gravity research. We now have a satisfactory description of the fate of Lorentz symmetry…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Giovanni Amelino-Camelia

Effects of noncommutativity are investigated in planar quantum mechanics in the coordinate representation. Generally these issues are addressed by converting to the momentum space. In the first part of the work we show noncommutative…

High Energy Physics - Theory · Physics 2007-05-23 Subir Ghosh

We advocate that the dual picture of spacetime noncommutativity , i.e. the existence of a curved momentum space, could be a way out to solve some of the open conceptual problems in the field, such as the basis dependence of observables. In…

General Physics · Physics 2025-12-10 S. A. Franchino-Viñas

Several approaches to quantum gravity suggest that the standard description of spacetime as probed at low-energy, with four dimensions, is replaced in the Planckian regime by a spacetime with a spectral dimension of two. The implications…

General Relativity and Quantum Cosmology · Physics 2015-06-17 Giovanni Amelino-Camelia , Michele Arzano , Giulia Gubitosi , Joao Magueijo

A gravitationally-induced modification to de Broglie wave-particle duality is presented. At Planck scale, the gravitationally-modified matter wavelength saturates to a few times the Planck length in a momentum independent manner. In certain…

General Relativity and Quantum Cosmology · Physics 2008-11-26 D. V. Ahluwalia

We discuss the generalization of Doubly Special Relativity to a curved de Sitter background. The model has three observer-independent scales, the velocity of light $c$, the radius of curvature of the geometry $\alpha$, and the Planck energy…

General Relativity and Quantum Cosmology · Physics 2010-11-29 S. Mignemi

We investigate the gravitational lensing signatures of vorton configurations, considering the circular vorton, the Kibble-Turok vorton, and a newly proposed class that incorporates simultaneous excitations of the first, second, and third…

High Energy Physics - Theory · Physics 2025-12-09 Leonardus B. Putra , H. S. Ramadhan

Investigations of the possibility that some novel ``quantum" properties of spacetime might induce a modification dispersion relation focused at first on scenarios with Planck-scale violations of Lorentz symmetry. More recently several…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Giovanni Amelino-Camelia , Jerzy Kowalski-Glikman , Gianluca Mandanici , Andrea Procaccini

We consider the nonunitary quantum dynamics of neutral massless scalar particles used to model photons around a massive gravitational lens. The gravitational interaction between the lensing mass and asymptotically free particles is…

General Relativity and Quantum Cosmology · Physics 2018-10-09 Charles H. -T. Wang , Elliott Mansfield , Teodora Oniga
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