English
Related papers

Related papers: Newtonian gravity on quantum spacetime

200 papers

Starting with a field theoretic approach in Minkowski space, the gravitational energy momentum tensor is derived from the Einstein equations in a straightforward manner. This allows to present them as {\it acceleration tensor} = const.…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Theo M. Nieuwenhuizen

Without a complete theory of quantum gravity, the question of how quantum fields and quantum particles behave in a superposition of spacetimes seems beyond the reach of theoretical and experimental investigations. Here we use an extension…

The cosmological implications of the Covariant Canonical Gauge Theory of Gravity (CCGG) are investigated. We deduce that, in a metric compatible geometry, the requirement of covariant conservation of matter invokes torsion of space-time. In…

General Relativity and Quantum Cosmology · Physics 2024-10-28 David Vasak , Johannes Kirsch , Juergen Struckmeier

We bring the concept that quantum symmetries describe theories with nontrivial momentum space properties one step further, looking at quantum symmetries of spacetime in presence of a nonvanishing cosmological constant $\Lambda$. In…

High Energy Physics - Theory · Physics 2017-09-13 A. Ballesteros , G. Gubitosi , I. Gutierrez-Sagredo , F. J. Herranz

In this paper, we study the thermal time hypothesis of arXiv:gr-qc/9406019 in the context of noncommutative deformations of Minkowski. We show that a natural modular group arises from the modular function of the momentum space. In the…

High Energy Physics - Theory · Physics 2025-02-19 Kilian Hersent

We deepen the analysis of the cosmological acceleration produced by quantum gravity dynamics in the formalism of group field theory condensate cosmology, treated at the coarse-grained level via a phenomenological model, in the language of…

General Relativity and Quantum Cosmology · Physics 2025-06-19 Daniele Oriti , Xiankai Pang

In this paper, we perform a parallel analysis to the model proposed in [25]. By considering the central co-tetrad (instead of the central metric), we investigate the modifications in the gravitational metrics coming from the noncommutative…

High Energy Physics - Theory · Physics 2016-06-16 Andrzej Borowiec , Tajron Juric , Stjepan Meljanac , Anna Pachol

In the same base setup as Sakharov's induced gravity, we investigate emergence of gravity in effective quantum field theories (QFT), with particular emphasis on the gauge sector in which gauge bosons acquire anomalous masses in proportion…

General Relativity and Quantum Cosmology · Physics 2021-02-24 Durmus Demir

We discuss the construction of a free scalar quantum field theory on $\kappa$-Minkowski noncommutative spacetime. We do so in terms of $\kappa$-Poincar\'e-invariant $N$-point functions, i.e. multilocal functions which respect the deformed…

High Energy Physics - Theory · Physics 2022-11-22 Maria Grazia Di Luca , Flavio Mercati

Over the past decades, many authors advertised models on complexified spacetime algebras for use in describing gravity. This work aims at providing phenomenological support to such claims, by introducing a one-parameter real phase $\alpha$…

General Physics · Physics 2023-05-30 Jens Köplinger

We employ a twist deformation of infinitesimal diffeomorphisms to construct a modification of General Relativity on a non-commutative spacetime extending the local kappa-Minkowski geometry. This spacetime arises in Deformed Special…

General Relativity and Quantum Cosmology · Physics 2025-10-06 Daniel Rozental , Ofek Birnholtz

A quantum theory of gravity is described in the case of a positive cosmological constant in 3+1 dimensions. Both old and new results are described, which support the case that loop quantum gravity provides a satisfactory quantum theory of…

High Energy Physics - Theory · Physics 2007-05-23 Lee Smolin

We present a model unifying general relativity and quantum mechanics. The model is based on the (noncommutative) algebra \mbox{{\cal A}} on the groupoid \Gamma = E \times G where E is the total space of the frame bundle over spacetime, and…

General Relativity and Quantum Cosmology · Physics 2008-11-26 M. Heller , L. Pysiak , W. Sasin

In this paper, we study implications of the geometrical nature of space- time for some of the basic tenets of quantum mechanics. That is, we study two different implications of the principle of general covariance; first we quantize a…

General Relativity and Quantum Cosmology · Physics 2013-05-16 Johan Noldus

We have computed the black body radiation spectra in $\kappa-$Minkowski space-time, using the quantum mechanical picture of massless scalar particles as well as effective quantum field theory picture. The black body radiation depends on how…

High Energy Physics - Theory · Physics 2008-11-26 Hyeong-Chan Kim , Chaiho Rim , Jae Hyung Yee

We present the generalisation to (3+1) dimensions of a quantum deformation of the (2+1) (Anti)-de Sitter and Poincar\'e Lie algebras that is compatible with the conditions imposed by the Chern-Simons formulation of (2+1) gravity. Since such…

General Relativity and Quantum Cosmology · Physics 2015-05-18 Angel Ballesteros , Francisco J. Herranz , Pedro Naranjo

A review is given of the formulation of relativistic atomic theory, in which there is an explicit realization of the Poincare' generators, both in the inertial and in the non-inertial rest-frame instant form of dynamics in Minkowski…

General Relativity and Quantum Cosmology · Physics 2009-08-05 Luca Lusanna

Almost a century ago, Einstein used a weak field approximation around Minkowski space-time to calculate the energy carried away by gravitational waves emitted by a time changing mass-quadrupole. However, by now there is strong observational…

General Relativity and Quantum Cosmology · Physics 2015-11-17 Abhay Ashtekar , Béatrice Bonga , Aruna Kesavan

The two surprising features of gravity are (a) the principle of equivalence and (b) the connection between gravity and thermodynamics. Using principle of equivalence and special relativity in the {\it local inertial frame}, one could obtain…

High Energy Physics - Theory · Physics 2009-11-07 T. Padmanabhan

The infinitesimal action of Kappa-Poincar'e group on Kappa-Minkowski space is computed both for generators of Kappa-Poincar'e algebra and those of Woronowicz generalized Lie algebra. The notion of invariant operators is introduced and…

q-alg · Mathematics 2008-02-03 Stefan Giller , Cezary Gonera , Piotr Kosinski , Pawel Maslanka