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The possibility that the strength of gravitational interactions might slowly increase with distance, is explored by formulating a set of effective field equations, which incorporate the gravitational, vacuum-polarization induced, running of…

广义相对论与量子宇宙学 · 物理学 2009-11-11 Herbert W. Hamber , Ruth M. Williams

The different roles and natures of spacetime appearing in a quantum field theory and in classical physics are analyzed implying that a quantum theory of gravitation is not necessarily a quantum theory of curved spacetime. Developing an…

广义相对论与量子宇宙学 · 物理学 2015-06-16 C. Wiesendanger

A scale--dependent effective action for gravity is introduced and an exact nonperturbative evolution equation is derived which governs its renormalization group flow. It is invariant under general coordinate transformations and satisfies…

高能物理 - 理论 · 物理学 2009-10-30 M. Reuter

Inspired by the work of Wheeler among others, we have studied the problem of quantum measurements of space-time distances by applying the general principles of quantum mechanics as well as those of general relativity. Contrary to the…

高能物理 - 理论 · 物理学 2011-03-28 Y. Jack Ng

We investigate the gravitational property of the quantum vacuum by treating its large energy density predicted by quantum field theory seriously and assuming that it does gravitate to obey the equivalence principle of general relativity. We…

广义相对论与量子宇宙学 · 物理学 2019-04-22 Qingdi Wang , Zhen Zhu , William G. Unruh

A finite and unitary nonlocal formulation of quantum gravity is applied to the cosmological constant problem. The entire functions in momentum space at the graviton-standard model particle loop vertices generate an exponential suppression…

广义相对论与量子宇宙学 · 物理学 2016-02-08 J. W. Moffat

We present a gauge-invariant treatment of singularity resolution using loop quantum gravity techniques with respect to local SU(2) transformations. Our analysis reveals many novel features of quantum geometry which were till now hidden in…

广义相对论与量子宇宙学 · 物理学 2020-03-31 Klaus Liegener , Parampreet Singh

We construct a periodically time-dependent Hamiltonian with a phase transition in the quantum Hall universality class. One spatial dimension can be eliminated by introducing a second incommensurate driving frequency, so that we can study…

介观与纳米尺度物理 · 物理学 2011-10-20 J. P. Dahlhaus , J. M. Edge , J. Tworzydlo , C. W. J. Beenakker

Coupling any interacting quantum mechanical system to gravity in one dimension requires the cosmological constant to belong to the matter energy spectrum and thus to be quantized, even though the gravity sector is free of any quantum…

高能物理 - 理论 · 物理学 2007-05-23 Jan Govaerts

Quantum Theory, similar to Relativity Theory, requires a new concept of space-time, imposed by a universal constant. While velocity of light $c$ not being infinite calls for a redefinition of space-time on large and cosmological scales,…

物理学史与哲学 · 物理学 2021-04-21 Herbert Capellmann

General relativity successfully describes space-times at scales that we can observe and probe today, but it cannot be complete as a consequence of singularity theorems. For a long time there have been indications that quantum gravity will…

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

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…

广义相对论与量子宇宙学 · 物理学 2013-09-24 Giovanni Amelino-Camelia

Background independence is often emphasized as an important property of a quantum theory of gravity that takes seriously the geometrical nature of general relativity. In a background-independent formulation, quantum gravity should determine…

广义相对论与量子宇宙学 · 物理学 2021-08-27 Martin Bojowald

By quantising the gravitational dynamics, space and time are usually forced to play fundamentally different roles. This raises the question whether physically relevent configurations could also exist which would not admit…

广义相对论与量子宇宙学 · 物理学 2015-07-16 Pierre A. Mandrin

The framework of quantum symmetry reduction is applied to loop quantum gravity with respect to transitively acting symmetry groups. This allows to test loop quantum gravity in a large class of minisuperspaces and to investigate its features…

广义相对论与量子宇宙学 · 物理学 2010-11-19 Martin Bojowald

On the path towards quantum gravity, we find friction between temporal relations in quantum mechanics (QM) (where they are fixed and field-independent), and in general relativity (where they are field-dependent and dynamic). This paper aims…

广义相对论与量子宇宙学 · 物理学 2017-11-28 Henrique Gomes

The Lorentzian spacetime metric is replaced by an area metric which naturally emerges as a generalized geometry in quantum string and gauge theory. Employing the area metric curvature scalar, the gravitational Einstein-Hilbert action is…

高能物理 - 理论 · 物理学 2008-11-26 Raffaele Punzi , Frederic P. Schuller , Mattias N. R. Wohlfarth

We will highlight that despite there being various approaches to quantum gravity, there are universal approach-independent features of quantum gravity. The geometry of spacetime becomes an emergent structure, which emerges from some purely…

广义相对论与量子宇宙学 · 物理学 2024-04-04 Mir Faizal

When one takes into account gravitation, the measurement of space and time cannot be carried out with infinite accuracy. When quantum mechanics is reformulated taking into account this lack of accuracy, the resolution of the measurement…

广义相对论与量子宇宙学 · 物理学 2009-03-16 Rodolfo Gambini , Jorge Pullin

We explore how quantum properties of spacetime, specifically the curvature of momentum space, can backreact on classical gravity within a tractable semiclassical (2+1)-dimensional framework with a negative cosmological constant. Motivated…

广义相对论与量子宇宙学 · 物理学 2026-05-13 Partha Nandi , Mainak Roy , Langa Horoto , Frederik G. Scholtz , Biswajit Chakraborty