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The implications of restricting the covariance principle within a Gaussian gauge are developed both on a classical and a quantum level. Hence, we investigate the cosmological issues of the obtained Schr\"odinger Quantum Gravity with respect…

广义相对论与量子宇宙学 · 物理学 2009-11-13 F. Cianfrani , G. Montani

The coupling of the metric to an incoherent dust introduces into spacetime a privileged dynamical reference frame and time foliation. The comoving coordinates of the dust particles and the proper time along the dust worldlines become…

广义相对论与量子宇宙学 · 物理学 2009-07-09 J. D. Brown , K. V. Kuchar

The framework of a theory of gravity from the quantum to the classical regime is presented. The paradigm shift from full spacetime covariance to spatial diffeomorphism invariance, together with clean decomposition of the canonical…

广义相对论与量子宇宙学 · 物理学 2019-12-06 Chopin Soo , Hoi-Lai Yu

We present and analyze a gauge-invariant quantum theory of the Friedmann-Robertson-Walker universe with dust. We construct the reduced phase space spanned by gauge-invariant quantities by using the so-called relational formalism at the…

广义相对论与量子宇宙学 · 物理学 2009-11-10 Fumitoshi Amemiya , Tatsuhiko Koike

The problem of time in the quantization of gravity arises from the fact that time in Schroedinger's equation is a parameter. This sets time apart from the spatial coordinates, represented by operators in quantum mechanics (QM). Thus "time"…

广义相对论与量子宇宙学 · 物理学 2016-05-06 M. Bauer

We present a gravitational quantum dynamics theory that combines quantum field theory for particle dynamics in space-time with classical Einstein's general relativity in a non-Riemannian Finsler space. This approach is based on the…

广义相对论与量子宇宙学 · 物理学 2021-01-05 Ivano Tavernelli

On one popular view, the general covariance of gravity implies that change is relational in a strong sense, such that all it is for a physical degree of freedom to change is for it to vary with regard to a second physical degree of freedom.…

广义相对论与量子宇宙学 · 物理学 2018-01-18 Sean Gryb , Karim Thebault

This work concerns a new reformulation of quantum geometrodynamics, which allows to overcome a fundamental ambiguity contained in the canonical approach to quantum gravity: the possibility of performing a (3+1)-slicing of space-time, when…

广义相对论与量子宇宙学 · 物理学 2010-11-11 Simone Mercuri , Giovanni Montani

In a natural extension of the relativity principle we argue that a quantum theory of gravity involves two fundamental scales associated with both dynamical space-time as well as dynamical momentum space. This view of quantum gravity is…

高能物理 - 理论 · 物理学 2015-06-19 Laurent Freidel , Robert G. Leigh , Djordje Minic

We analyze the effect induced on standard quantum field theory (in functional approach) by quantum gravity corrections to a pure classical background. In the framework of the Kucha\v{r} and Torre proposal for a gravity-matter theory…

广义相对论与量子宇宙学 · 物理学 2022-04-20 Giulia Maniccia , Giovanni Montani

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…

高能物理 - 理论 · 物理学 2009-11-07 T. Padmanabhan

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

Einstein's special theory of relativity starts with assumptions about how observations conducted in relatively moving inertial frames must compare. From these assumptions, conclusions can be drawn regarding the laws of physics in any one…

物理学史与哲学 · 物理学 2015-07-14 Allan Walstad

In general relativity, the description of spacetime relies on idealised rods and clocks, which identify a reference frame. In any concrete scenario, reference frames are associated to physical systems, which are ultimately quantum in…

量子物理 · 物理学 2021-07-28 Flaminia Giacomini

Conventional approaches to quantum gravity regard quantum principles, such as nonlocality and superposition, as fundamental properties of nature and therefore argue that gravity must also be quantized. In contrast, this work introduces a…

广义相对论与量子宇宙学 · 物理学 2025-05-16 Filip Strubbe

Current physics is faced with the fundamental problem of unifying quantum theory and general relativity, which would have resulted in quantum gravity. The main effort to construct the latter has been bent on quantizing spacetime structure,…

广义相对论与量子宇宙学 · 物理学 2007-05-23 Vladimir S. Mashkevich

In a recent work we presented a reformulation of the canonical quantum gravity, based on adding the so-called kinematical term to the gravity-matter action; this revised approach leads to a self-consistent canonical quantization of the…

广义相对论与量子宇宙学 · 物理学 2014-11-17 Giovanni Montani

We consider a quantization of relativistic wave equations which allows to treat quantum fields together with interacting particles at a finite time. We discuss also a dissipative interaction with the environment. We introduce a stochastic…

高能物理 - 理论 · 物理学 2007-05-23 Z. Haba

Time is absolute in standard quantum theory and dynamical in general relativity. The combination of both theories into a theory of quantum gravity leads therefore to a "problem of time". In my essay I shall investigate those consequences…

广义相对论与量子宇宙学 · 物理学 2009-09-22 Claus Kiefer

The classical theory of gravity predicts its own demise -- singularities. We therefore attempt to quantize gravitation, and present here a new approach to the quantization of gravity wherein the concept of time is derived by imposing the…

广义相对论与量子宇宙学 · 物理学 2010-11-01 Arkady Kheyfets , Warner A. Miller
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