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Quantum cosmology based on the Wheeler De Witt equation represents a simple way to implement plausible quantum effects in a gravitational setup. In its minisuperspace version wherein one restricts attention to FLRW metrics with a single…

广义相对论与量子宇宙学 · 物理学 2019-02-05 Patrick Peter

The Klein-Gordon equation for the wave function of a single massive scalar is written in spherical and parabolic coordinates in the presence of a Schwarzschild background, and some semi-classical techniques for deriving asymptotic results…

广义相对论与量子宇宙学 · 物理学 2011-06-15 Derek Lee

A lagrangian for the $k-$ essence field is set up with canonical kinetic terms and incorporating the scaling relation of [1]. There are two degrees of freedom, {\it viz.},$q(t)= ln\enskip a(t)$ ($a(t)$ is the scale factor) and the scalar…

广义相对论与量子宇宙学 · 物理学 2008-11-26 Debashis Gangopadhyay , Somnath Mukherjee

The classical and quantum dynamics of the Friedmann-Robertson-Walker Universe with massless scalar and massive fermion matter field as a source is discussed in the framework of the Dirac generalized Hamiltonian formalism. The Hamiltonian…

广义相对论与量子宇宙学 · 物理学 2009-11-07 A. M. Khvedelidze , Yu. G. Palii

We argue that the Lorentzian path integral is a better starting point for quantum cosmology than the Euclidean version. In particular, we revisit the mini-superspace calculation of the Feynman path integral for quantum gravity with a…

高能物理 - 理论 · 物理学 2017-05-24 Job Feldbrugge , Jean-Luc Lehners , Neil Turok

The scheme of using the Chern-Simons action to regularize the gravitational Hamiltonian constraint is extended to including the Lorentzian term in the $k=0$ cosmological model. The Euclidean term and the Lorenzian term are thus regularized…

广义相对论与量子宇宙学 · 物理学 2020-10-12 Jinsong Yang , Cong Zhang , Yongge Ma

We present a theoretical analysis of the WDW approach to quantum cosmology extended to gravity theories with torsion. The dynamics of the FLRW universe is formulated as a classical Hamiltonian problem of point particle mechanics. Unlike in…

广义相对论与量子宇宙学 · 物理学 2026-04-17 David Vasak , Johannes Kirsch , Juergen Struckmeier

In this work a supersymmetric cosmological model is analyzed in which we consider a general superfield action of a homogeneous scalar field supermultiplet interacting with the scale factor in a supersymmetric FRW model. There appear…

广义相对论与量子宇宙学 · 物理学 2010-12-15 Celia Escamilla-Rivera , Octavio Obregon , L. Arturo Urena-Lopez

Collapse models possibly suggest the need for a better understanding of the structure of space-time. We argue that physical space, and space-time, are emergent features of the Universe, which arise as a result of dynamical collapse of the…

量子物理 · 物理学 2017-02-01 Tejinder P. Singh

What is the distance between two points in spacetime? This is a basic geometric question, which so far has no single, definitive answer. Unlike their Riemannian cousins, Lorentzian manifolds are not known to carry a canonical distance…

广义相对论与量子宇宙学 · 物理学 2021-03-09 Carlos Vega

We introduce the formalism of quantum cosmology in a Friedmann-Lema\^itre-Robertson-Walker (FLRW) universe of arbitrary dimension filled with a perfect fluid with $p=\alpha\rho$ equation of state. First we show that the Schutz formalism,…

广义相对论与量子宇宙学 · 物理学 2011-08-04 P. S. Letelier , J. P. M. Pitelli

A scalar--tensor theory of gravity, containing an arbitrary coupling function $F(\phi)$ and a general potential $V(\phi)$, is considered in the context of a spatially flat FLRW model. The use of reparametrization invariance enables a…

广义相对论与量子宇宙学 · 物理学 2015-06-23 Petros A. Terzis , N. Dimakis , T. Christodoulakis

We define a one-parameter family of canonical volume measures on Lorentzian (pre-)length spaces. In the Lorentzian setting, this allows us to define a geometric dimension - akin to the Hausdorff dimension for metric spaces - that…

数学物理 · 物理学 2023-09-26 Robert J. McCann , Clemens Sämann

We show that if the Lagrangean for a scalar field coupled to General Relativity only contains derivatives, then it is possible to completely deparametrise the theory. This means that 1.Physical observables, i.e. functions which Poisson…

天体物理学 · 物理学 2007-05-23 Thomas Thiemann

Scale dependence of fundamental physical parameters is a generic feature of ordinary quantum field theory. When applied to gravity, this idea produces effective actions generically containing a running Newtonian coupling constant, from…

广义相对论与量子宇宙学 · 物理学 2023-05-03 Fabio Scardigli , Gaetano Lambiase

In the background of homogeneous and isotropic flat FLRW space-time, both classical and quantum cosmology has been studied for teleparallel dark energy (DE) model. Using Noether symmetry analysis, not only the symmetry vector but also the…

广义相对论与量子宇宙学 · 物理学 2024-07-12 Dipankar Laya , Roshni Bhaumik , Sourav Dutta , Subenoy Chakraborty

It is well known that the canonical quantization of the Friedmann-Lema\^itre-Robertson-Walker (FLRW) filled with a perfect fluid leads to nonsingular universes which, for later times, behave as their classical counterpart. This means that…

广义相对论与量子宇宙学 · 物理学 2013-05-09 J. P. M. Pitelli , P. S. Letelier

The bouncing evolution of an universe in Loop Quantum Cosmolgy can be described very well by a set of effective equations, involving a function $sin \; x$. Recently, we have generalised these effective equations to $(d + 1)$ dimensions and…

广义相对论与量子宇宙学 · 物理学 2017-08-02 S. Kalyana Rama

A cosmological model describing the evolution of n Ricci-flat spaces (n>1) in the presence of 1-component perfect-fluid and minimally coupled scalar field is considered. When the pressures in all spaces are proportional to the density, the…

高能物理 - 理论 · 物理学 2009-09-25 V. D. Ivashchuk , V. N. Melnikov

Planck-scale physics challenges the classical smooth-spacetime picture by introducing quantum fluctuations that imply a nontrivial spacetime microstructure. We present a framework that encodes these fluctuations by promoting local scale…

综合物理 · 物理学 2026-01-23 Weihu Ma , Yu-Gang Ma