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We explore the infrared limit of quantum gravity in presence of a cosmological constant or effective potential for scalar fields. For a positive effective scalar potential, one-loop perturbation theory around flat space is divergent due to…

General Relativity and Quantum Cosmology · Physics 2018-08-01 C. Wetterich

With the simplest proof ever, we justify the significance of quantum-gravity in non-relativistic quantum mechanics together with the related theories and experiments. Since the de Broglie wave length is inverse proportional to the mass, it…

Quantum Physics · Physics 2020-01-08 Lajos Diósi

In the framework of the theory of scale relativity, we suggest a solution to the cosmological problem of the formation and evolution of gravitational structures on many scales. This approach is based on the giving up of the hypothesis of…

Astrophysics · Physics 2015-06-24 Daniel da Rocha , Laurent Nottale

Infrared gravitons are continually produced during inflation. Like all particles, their contribution to the vacuum energy comes not only from their bare kinetic energy but also from the interactions they have with other gravitons. These…

General Relativity and Quantum Cosmology · Physics 2015-05-27 N. C. Tsamis , R. P. Woodard

In quantum gravity perturbation theory in Newton's constant G is known to be badly divergent, and as a result not very useful. Nevertheless some of the most interesting phenomena in physics are often associated with non-analytic behavior in…

High Energy Physics - Theory · Physics 2019-03-19 Herbert W. Hamber

Quantum gravity arguments and the entropy bound for effective field theories proposed in PRL 82, 4971 (1999) lead to consider two correlated scales which parametrize departures from relativistic quantum field theory at low and high…

High Energy Physics - Theory · Physics 2012-03-15 J. M. Carmona , J. L. Cortes

We discuss some general characteristics of modifications of the 4D Einstein-Hilbert action that become important for low space-time curvatures. In particular we focus on the chameleon-like behaviour of the massive gravitational degrees of…

General Relativity and Quantum Cosmology · Physics 2007-05-23 I. Navarro , K. Van Acoleyen

Gravity field theory and electromagnetic field theory are well established and confirmed by experiments. The Schwarzschild metric and Kerr Metric of Einstein field equation shows that the spatial differential of time gauge is the gravity…

General Physics · Physics 2007-05-23 Xiao Jianhua

It is very likely that the quantum description of spacetime is quite different from what we perceive at large scales, $l\gg (G\hbar/c^3)^{1/2}$. The long wave length description of spacetime, based on Einstein's equations, is similar to the…

General Relativity and Quantum Cosmology · Physics 2009-11-10 T. Padmanabhan

The linearized Einstein theory in the approximately flat time-space is modified accounting for a massive graviton as a dark matter in the universe. On the basis of magnetic-type Maxwell- Proca -Vlasov equations, the interactions of the…

Plasma Physics · Physics 2013-06-05 Xiao-qing Li

We reconsider a gauge theory of gravity in which the gauge group is the conformal group SO(4,2) and the action is of the Yang-Mills form, quadratic in the curvature. The resulting gravitational theory exhibits local conformal symmetry and…

General Relativity and Quantum Cosmology · Physics 2016-04-07 Jack Gegenberg , Shohreh Rahmati , Sanjeev S. Seahra

The paper studies the possible interplay between matter and geometry in scalar tensor theories of gravitation where the energy--momentum tensor is directly coupled with the Einstein tensor. After obtaining the scalar tensor representation…

General Relativity and Quantum Cosmology · Physics 2024-10-08 Mihai Marciu

We show why and how Compton wavelength and Schwarzschild radius should be combined into one single new length scale, which we call the Compton-Schwarzschild length. Doing so offers a resolution of the black hole information loss paradox,…

General Relativity and Quantum Cosmology · Physics 2017-10-13 Tejinder P. Singh

We find the conditions under which scale-invariant Einstein-Cartan gravity with scalar matter fields leads to an approximate conformal invariance of the flat space particle theory up to energies of the order of the Planck mass. In the…

High Energy Physics - Theory · Physics 2023-07-24 Georgios K. Karananas , Mikhail Shaposhnikov , Sebastian Zell

In modified theories of gravity including a critical acceleration scale, $a_{0}$, a critical length scale, $r_{M}=(GM/a_{0})^{1/2}$, will naturally arise, with the transition from the Newtonian to the dark matter mimicking regime occurring…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-04 X. Hernandez

Motivated by the conjecture that the cosmological constant problem is solved by strong quantum effects in the infrared we use the exact flow equation of Quantum Einstein Gravity to determine the renormalization group behavior of a class of…

High Energy Physics - Theory · Physics 2009-11-10 M. Reuter , F. Saueressig

General Relativity has shown an outstanding observational success in the scales where it has been directly tested. However, modifications have been intensively explored in the regimes where it seems either incomplete or signals its own…

General Relativity and Quantum Cosmology · Physics 2018-02-14 Jose Beltran Jimenez , Lavinia Heisenberg , Gonzalo J. Olmo , Diego Rubiera-Garcia

Metric theories of gravity are studied, beginning with a general action that is quadratic in curvature and allows infinite inverse powers of the d'Alembertian operator, resulting in infrared non-local extensions of general relativity. The…

High Energy Physics - Theory · Physics 2015-06-22 Aindriu Conroy , Tomi Koivisto , Anupam Mazumdar , Ali Teimouri

We argue, that in Einsteinian gravity the Planck length is the shortest length of nature, and any attempt of resolving trans-Planckian physics bounces back to macroscopic distances due to black hole formation. In Einstein gravity…

High Energy Physics - Theory · Physics 2010-05-20 Gia Dvali , Cesar Gomez

We attempt to study three significant tests of general relativity in higher dimensions both in commutative and non-commutative spaces. In the context of non-commutative geometry, we will consider a solution of the Einstein equation in…

General Relativity and Quantum Cosmology · Physics 2021-05-04 Davood Mahdavian Yekta , S. A. Alavi , Majid Karimabadi