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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…

广义相对论与量子宇宙学 · 物理学 2022-07-19 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 theory, but it is considered a low energy limit of a quantum…

高能物理 - 理论 · 物理学 2020-08-20 J. J. Relancio

Is "Gravity" a deformation of "Electromagnetism"? Deformation theory suggests quantizing Special Relativity: formulate Quantum Information Dynamics $SL(2,C)_h$-gauge theory of dynamical lattices, with unifying gauge ``group'' the quantum…

综合物理 · 物理学 2010-05-20 Lucian M Ionescu

Deformed special relativity is embedded in deformed general relativity using the methods of canonical relativity and loop quantum gravity. Phase-space dependent deformations of symmetry algebras then appear, which in some regimes can be…

广义相对论与量子宇宙学 · 物理学 2013-08-05 Martin Bojowald , George M. Paily

Quantum gravity is studied in a semiclassical approximation and it is found that to first order in the Planck length the effect of quantum gravity is to make the low energy effective spacetime metric energy dependent. The diffeomorphism…

高能物理 - 理论 · 物理学 2009-11-11 Lee Smolin

The importance of the first-class constraint algebra of general relativity is not limited just by its self-contained description of the gauge nature of spacetime, but it also provides conditions to properly evolve the geometry by selecting…

广义相对论与量子宇宙学 · 物理学 2017-11-15 José Tomás Gálvez Ghersi , Michael J. Desrochers , Mason Protter , Andrew DeBenedictis

In its canonical formulation, general relativity is subject to gauge transformations that are equivalent to space-time coordinate changes of general covariance only when the gauge generators, given by the Hamiltonian and diffeomorphism…

广义相对论与量子宇宙学 · 物理学 2023-10-31 Martin Bojowald , Erick I. Duque

In this paper, the deformed Special Relativity, which leads to an essentially new theoretical context of quantum mechanics, is presented. The formulation of the theory arises from a straightforward analogy with the Special Relativity, but…

综合物理 · 物理学 2015-10-07 Lukasz Andrzej Glinka

In this thesis, I investigate how to construct a self-consistent model of deformed general relativity using canonical methods and metric variables. The specific deformation of general covariance is predicted by some studies into loop…

广义相对论与量子宇宙学 · 物理学 2019-10-07 Rhiannon Cuttell

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. When this deformation is assumed to be applied to any…

广义相对论与量子宇宙学 · 物理学 2026-01-22 J. M. Carmona , J. L. Cortés , J. J. Relancio , M. A. Reyes

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 classical level, this modification is required when one considers a…

高能物理 - 理论 · 物理学 2019-12-02 J. M. Carmona , J. L. Cortes , J. J. Relancio

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…

广义相对论与量子宇宙学 · 物理学 2009-11-10 Giovanni Amelino-Camelia , Jerzy Kowalski-Glikman , Gianluca Mandanici , Andrea Procaccini

We derive the scalar-tensor Hamiltonian constraint to all orders of momenta when the canonical constraint algebra is deformed by a phase space function as predicted by some studies into loop quantum cosmology. We find that the momenta and…

广义相对论与量子宇宙学 · 物理学 2019-09-04 Rhiannon Cuttell , Mairi Sakellariadou

In this article we develop a physical interpretation for the deformed (doubly) special relativity theories (DSRs), based on a modification of the theory of measurement in special relativity. We suggest that it is useful to regard the DSRs…

广义相对论与量子宇宙学 · 物理学 2009-11-10 Stefano Liberati , Sebastiano Sonego , Matt Visser

We describe a class of modified gravity theories that deform general relativity in a way that breaks time reversal invariance and, very mildly, locality. The algebra of constraints, local physical degrees of freedom, and their linearized…

广义相对论与量子宇宙学 · 物理学 2015-08-12 Marina Cortes , Henrique Gomes , Lee Smolin

We study a class of theories in which space-time is treated classically, while interacting with quantum fields. These circumvent various no-go theorems and the pathologies of semi-classical gravity, by being linear in the density matrix and…

高能物理 - 理论 · 物理学 2022-02-15 Jonathan Oppenheim , Zachary Weller-Davies

One of the most important issues in quantum gravity is to identify its semi-classical regime. First the issue is to define for we mean by a semi-classical theory of quantum gravity, then we would like to use it to extract physical…

广义相对论与量子宇宙学 · 物理学 2015-06-25 Etera R. Livine

Quantum gravity places entirely new challenges on the formulation of a consistent theory as well as on an extraction of potentially observable effects. Quantum corrections due to the gravitational field are commonly expected to be tiny…

广义相对论与量子宇宙学 · 物理学 2008-11-26 Martin Bojowald

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 describe in some detail the most studied theoretical…

高能物理 - 理论 · 物理学 2022-11-22 Michele Arzano , Giulia Gubitosi , José Javier Relancio

We study a class of Hamiltonian deformations of the massless Einstein-Klein-Gordon system in spherical symmetry for which the Dirac constraint algebra closes. The system may be regarded as providing effective equations for quantum…

广义相对论与量子宇宙学 · 物理学 2012-04-24 Andreas Kreienbuehl , Viqar Husain , Sanjeev S. Seahra
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