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Several phenomenological approaches to quantum gravity predict the existence of a minimal measurable length and/or a maximum measurable momentum near the Planck scale. When embedded into the framework of quantum mechanics, such constraints…

General Relativity and Quantum Cosmology · Physics 2023-05-30 Eissa Al-Nasrallah , Saurya Das , Fabrizio Illuminati , Luciano Petruzziello , Elias C. Vagenas

It is argued that quantum gravity has an interpretation as a topological field theory provided a certain constraint from the path intergral measure is respected. The constraint forces us to couple gauge and matter fields to gravity for…

High Energy Physics - Theory · Physics 2009-10-30 Andrew Toon

A fundamental spacetime scale in the universe leads to noncommutative spacetime and thence to a modified energy - momentum dispersion relation or equivalently to a modification of Lorentz symmetry as shown by the author and others. This…

General Physics · Physics 2009-01-27 Burra G. Sidharth

We consider the collapse of a charged radiation fluid in a Planck-suppressed quadratic extension of General Relativity (GR) formulated \`{a} la Palatini. We obtain exact analytical solutions that extend the charged Vaidya-type solution of…

High Energy Physics - Theory · Physics 2014-03-06 Francisco S. N. Lobo , Jesus Martinez-Asencio , Gonzalo J. Olmo , D. Rubiera-Garcia

We use the results of ultra-precise cold-atom-recoil experiments to constrain the form of the energy-momentum dispersion relation, a structure that is expected to be modified in several quantum-gravity approaches. Our strategy of analysis…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Giovanni Amelino-Camelia , Claus Laemmerzahl , Flavio Mercati , Guglielmo M. Tino

A satisfactory theory of quantum gravity will very likely require modification of our classical perception of space-time, perhaps by giving it a 'foamy' structure at scales of order the Planck length. This is expected to modify the…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Subir Sarkar

We study linear cosmological perturbations in a previously introduced family of deformations of general relativity characterized by the absence of new degrees of freedom. The homogeneous and isotropic background in this class of theories is…

General Relativity and Quantum Cosmology · Physics 2010-06-08 Kirill Krasnov , Yuri Shtanov

In quantum theory of gravity, we expect the Lorentz Invariance Violation (LIV) and the modification of the dispersion relation between energy and momentum for photons. The effect of the energy-dependent velocity due to the modified…

Cosmology and Nongalactic Astrophysics · Physics 2020-01-24 Yu Pan , Yungui Gong , Shuo Cao , He Gao , Zong-Hong Zhu

We show that quartic modifications of relativistic dispersion relations arise generically from deformation-quantized phase spaces under minimal kinematical assumptions relevant to quantum gravity. When the kinematics admits an integral…

Mathematical Physics · Physics 2026-03-18 Sanjib Dey , Mir Faizal

We generalize the scale invariant gravity by allowing a negative kinetic energy term for the classical scalar field. This gives birth to a new scalar-tensor theory of gravity, in which the scalar field is in fact an auxiliary field. For a…

High Energy Physics - Theory · Physics 2007-05-23 Shih-Yuin Lin , Kin-Wang Ng

We investigate the effects of Quantum Gravity on the Planck era of the universe. In particular, using different versions of the Generalized Uncertainty Principle and under specific conditions we find that the main Planck quantities such as…

High Energy Physics - Theory · Physics 2010-09-28 Spyros Basilakos , Saurya Das , Elias C. Vagenas

Small violations of spacetime symmetries have recently been identified as promising Planck-scale signals. This talk reviews how such violations can arise in various approaches to quantum gravity, how the emergent low-energy effects can be…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Ralf Lehnert

The dissertation deals with noncommutative field theories, namely field theories compatible with the existence of a minimal (quantum gravity) length scale. Two families of quantum spacetime are considered. One is characterized by semisimple…

High Energy Physics - Theory · Physics 2018-11-19 Timothé Poulain

Starting from noncommutative generalization of Minkowski space we consider quantum deformed relativistic symmetries which lead to the modification of kinematics of special relativity. The noncommutative field theory framework described by…

High Energy Physics - Theory · Physics 2015-05-18 Jerzy Lukierski

Standard approaches to quantum gravity start with a pre-spacetime structure and attempt, in accordance with Bohr's correspondence principle, to recover the pseudo-Riemannian manifold in the low energy limit. These approaches assume there is…

General Relativity and Quantum Cosmology · Physics 2011-04-26 Kaća Bradonjić

After a brief digression on the current landscape of theoretical physics and on some open questions pertaining to coherence with experimental results, still to be settled, it is shown that the properties of the Deformed Minkowski space lead…

General Physics · Physics 2023-08-15 Stefano Bellucci , Fabio Cardone , Fabio Pistella

Deformed relativistic kinematics is a framework which captures effects, that are expected from particles and fields propagating on a quantum spacetime, effectively. They are formulated in terms of a modified dispersion relation and a…

High Energy Physics - Phenomenology · Physics 2022-09-07 Iarley P. Lobo , Christian Pfeifer , Pedro H. Morais , Rafael Alves Batista , Valdir B. Bezerra

We investigate the implications for the measurability of distances of a covariant dimensionful ``$\kappa$'' deformation of D=4 relativistic symmetries, with quantum time coordinate and modified Heisenberg algebra. We show that the structure…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Giovanni Amelino-Camelia , Jerzy Lukierski , Anatol Nowicki

The most active area of research in quantum-gravity phenomenology investigates the possibility of Planck-scale-modified dispersion relations, focusing mainly on two alternative scenarios: the "LIV" scenario, characterized by a specific…

General Relativity and Quantum Cosmology · Physics 2026-02-02 Giovanni Amelino-Camelia , Giulia Gubitosi , Pietro Pellecchia , Marco Refuto , Giacomo Rosati

Some classes of Deformed Special Relativity (DSR) theories are reconsidered within the Hopf algebraic formulation. For this purpose we shall explore a minimal framework of deformed Weyl-Heisenberg algebras provided by a smash product…

Mathematical Physics · Physics 2010-10-27 Andrzej Borowiec , Anna Pachoł