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The degree of freedom of the scalar field in scalar-tensor gravity is employed as "time" to deparametrize the Hamiltonian constraint of the theory. The deparametrized system is then nonperturbatively quantized by the approach of loop…

广义相对论与量子宇宙学 · 物理学 2026-03-02 Faqiang Yuan , Haida Li , Shengzhi Li , Yongge Ma

The paper addresses the quantization of minisuperspace cosmological models by studying a possible solution to the problem of time and time asymmetries in quantum cosmology. Since General Relativity does not have a privileged time variable…

广义相对论与量子宇宙学 · 物理学 2009-11-07 Mario Castagnino , Gabriel Catren , Rafael Ferraro

We consider a solution to the problem of time in quantum gravity by deparameterisation of the ADM action in terms of York time, a parameter proportional to the extrinsic curvature of a spatial hypersurface. We study a minisuperspace model…

广义相对论与量子宇宙学 · 物理学 2014-12-16 Philipp Roser , Antony Valentini

We quantize a homogeneous and isotropic universe for two models of modified teleparallel gravity, wherein an arbitrary function of the boundary term, namely $B$, is present in the action and in the other model a scalar field that is…

广义相对论与量子宇宙学 · 物理学 2024-05-07 H. Amiri , K. Atazadeh , H. Hadi

We formulate the quantum mechanics of the solutions of a Klein-Gordon-type field equation: (\partial_t^2+D)\psi(t)=0, where D is a positive-definite operator acting in a Hilbert space \tilde H. We determine all the positive-definite inner…

广义相对论与量子宇宙学 · 物理学 2015-06-25 Ali Mostafazadeh

This thesis contains an analysis of the problem of time in quantum cosmology and its application to a cosmological minisuperspace model. In the first part, we introduce the problem of time and the theoretical foundations. In the second…

广义相对论与量子宇宙学 · 物理学 2022-11-18 Lucía Menéndez-Pidal

An approach to the quantization of gravity in the presence matter is examined which starts from the classical Einstein-Hilbert action and matter approximated by "point" particles minimally coupled to the metric. Upon quantization, the…

综合物理 · 物理学 2022-05-24 Matej Pavšič

A possible solution of the problem of time in the Wheeler - DeWitt quantum geometrodynamics is that time appears in semiclassical limit. Following this line of thinking, one can come to the Schrodinger equation for matter fields in curved…

广义相对论与量子宇宙学 · 物理学 2023-02-27 R. I. Ayala Oña , D. P. Kislyakova , T. P. Shestakova

We start from classical Hamiltonian constraint of general relativity to obtain the Einstein-Hamiltonian-Jacobi equation. We obtain a time parameter prescription demanding that geometry itself determines the time, not the matter field, such…

广义相对论与量子宇宙学 · 物理学 2015-06-25 S. Biswas , A. Shaw , B. Modak , D. Biswas

We describe radiative processes in Quantum Cosmology, from the solutions of the Wheeler De Witt equation. By virtue of this constraint equation, the quantum propagation of gravity is modified by the matter interaction hamiltonian at the…

广义相对论与量子宇宙学 · 物理学 2015-06-25 R. Parentani

The "problem of time" in canonical quantum gravity refers to the difficulties involved in defining a Hilbert space structure on states -- and local observables on this Hilbert space -- for a theory in which the spacetime metric is treated…

广义相对论与量子宇宙学 · 物理学 2009-12-30 Robert M. Wald

This paper discusses the problem of inflation in the context of Friedmann-Robertson-Walker Cosmology. We show how, after a simple change of variables, to quantize the problem in a way which parallels the classical discussion. The result is…

高能物理 - 理论 · 物理学 2007-05-23 Marvin Weinstein , Ratindranath Akhoury

The paper addresses the quantization of minisuperspace cosmological models, with application to the Taub Model. By desparametrizing the model with an extrinsic time, a formalism is developed in order to define a conserved Schr\"{o}dinger…

广义相对论与量子宇宙学 · 物理学 2009-10-31 Gabriel Catren , Rafael Ferraro

The paper is the first of two parts of a work reviewing some approaches to the problem of time in quantum cosmology, which were put forward last decade, and which demonstrated their relation to the problems of reparametrization and gauge…

广义相对论与量子宇宙学 · 物理学 2007-05-23 T. P. Shestakova , C. Simeone

Physical spacetime geometry follows from some effective thermodynamics of quantum states of all fields and particles described in frames of General Relativity. In the sense of pure field theoretical Einstein's point of view on gravitation…

广义相对论与量子宇宙学 · 物理学 2008-08-27 L. A. Glinka

We study the classical and quantum models of a scalar field Friedmann-Robertson-Walker (FRW) cosmology with an eye to the issue of time problem in quantum cosmology. We introduce a canonical transformation on the scalar field sector of the…

广义相对论与量子宇宙学 · 物理学 2015-06-11 Babak Vakili

Quantum--mechanical operators corresponding to canonical momentum and position of a point--like particle, which follow from the quantum field theory in the general Riemannian space-time, satisfy generally to a deformation of the canonical…

广义相对论与量子宇宙学 · 物理学 2007-05-23 E. A. Tagirov

We propose a method to recover the time variable and the classical evolution of the Universe from the minisuperspace wave function of the Wheeler-DeWitt equation. Defining a Hamilton-Jacobi characteristic function $W$ as the imaginary part…

广义相对论与量子宇宙学 · 物理学 2008-11-26 Dongsu Bak , Sang Pyo Kim , Sung Ku Kim , Kwang-Sup Soh , Jae Hyung Yee

The problem of the time is one of the open issues in the quantum gravity. This problem is particular problem in the canonical quantum gravity. Even in the loop gravity the problem of the time remain. Our work is concerning to the problem of…

广义相对论与量子宇宙学 · 物理学 2009-02-11 Shintaro Sawayama

We investigate aspects of quantum cosmology in relation to string cosmology systems that are described in terms of the Dirac-Born-Infeld action. Using the Silverstein-Tong model, we analyze the Wheeler-DeWitt equation for the rolling scalar…

高能物理 - 理论 · 物理学 2009-11-11 Anastasios Psinas
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