scholarly journals Topology change in canonical quantum cosmology

1997 ◽  
Vol 56 (6) ◽  
pp. 3329-3340 ◽  
Author(s):  
Vitorio A. De Lorenci ◽  
Jéro⁁me Martin ◽  
Nelson Pinto-Neto ◽  
Ivano Damião Soares
Keyword(s):  
Quantum Cosmology ◽  
Topology Change ◽  
Canonical Quantum

Cosmology and canonical wave function universe

2019 ◽  
Author(s):  
Vitaly Kuyukov
Keyword(s):  
Wave Function ◽  
Quantum Cosmology ◽  
Canonical Quantum

The equation of canonical quantum cosmology

The spatially flat Friedmann equation for early rainbow universe

2015 ◽  
Vol 30 (31) ◽  
pp. 1550165
Author(s):  
Han Siong Ch’ng ◽  
Geri Gopir ◽  
Shahidan Radiman
Keyword(s):  
Early Universe ◽  
Quantum Cosmology ◽  
Gravitational Constant ◽  
Friedmann Equation ◽  
Late Time ◽  
Friedmann Equations ◽  
Bohm Interpretation ◽  
The One ◽  
Canonical Quantum ◽  
De Broglie Bohm

We derive the spatially flat rainbow-Friedmann equation from de Broglie–Bohm interpretation in canonical quantum cosmology. Our result shows that the spatially flat rainbow-Friedmann equations of early and late-time universe are having different forms. The spatially flat rainbow-Friedmann equation of early universe which is obtained in this paper is quite different from the one which was initially derived by Magueijo and Smolin [Class. Quantum Grav. 21, 1725 (2004)]. However, the spatially flat rainbow-Friedmann equation for late-time universe obtained in this paper is found to be the same as the one derived by Magueijo and Smolin (for the case [Formula: see text] and Newton’s gravitational constant [Formula: see text]. The new spatially flat rainbow-Friedmann equation obtained in this paper could provide an alternative way in understanding the evolution of the early rainbow universe.

scholarly journals SCALAR POTENTIALS OUT OF CANONICAL QUANTUM COSMOLOGY

2007 ◽  
Vol 16 (04) ◽  
pp. 641-653 ◽  
Author(s):  
WALBERTO GUZMÁN ◽  
MIGUEL SABIDO ◽  
JOSÉ SOCORRO ◽  
L. ARTURO UREÑA-LÓPEZ
Keyword(s):  
Scalar Field ◽  
Cosmological Model ◽  
Quantum Cosmology ◽  
Scalar Potential ◽  
Canonical Quantization ◽  
Classical Solutions ◽  
Real Scalar ◽  
Frw Cosmological Model ◽  
Scalar Potentials ◽  
Canonical Quantum

Using canonical quantization of a flat FRW cosmological model containing a real scalar field ϕ endowed with a scalar potential V(ϕ), we are able to obtain exact and semi-classical solutions of the so-called Wheeler–DeWitt equation for a particular family of scalar potentials. Some features of the solutions and their classical limits are discussed.

scholarly journals GENERALIZED QUANTIZATION PRINCIPLE IN CANONICAL QUANTUM GRAVITY AND APPLICATION TO QUANTUM COSMOLOGY

2012 ◽  
Vol 27 (20) ◽  
pp. 1250106 ◽  
Author(s):  
MARTIN KOBER
Keyword(s):  
Quantum Gravity ◽  
Quantum Cosmology ◽  
Dynamical Behavior ◽  
Generalized Uncertainty Principle ◽  
Heisenberg Algebra ◽  
Polynomial Method ◽  
Canonical Approach ◽  
Canonical Quantum Gravity ◽  
Canonical Quantum ◽  
Quantization Principle

In this paper, a generalized quantization principle for the gravitational field in canonical quantum gravity, especially with respect to quantum geometrodynamics is considered. This assumption can be interpreted as a transfer from the generalized uncertainty principle in quantum mechanics, which is postulated as generalization of the Heisenberg algebra to introduce a minimal length, to a corresponding quantization principle concerning the quantities of quantum gravity. According to this presupposition there have to be given generalized representations of the operators referring to the observables in the canonical approach of a quantum description of general relativity. This also leads to generalized constraints for the states and thus to a generalized Wheeler–DeWitt equation determining a new dynamical behavior. As a special manifestation of this modified canonical theory of quantum gravity, quantum cosmology is explored. The generalized cosmological Wheeler–DeWitt equation corresponding to the application of the generalized quantization principle to the cosmological degree of freedom is solved by using Sommerfelds polynomial method.

ON PURE AND MIXED QUANTUM STATES OF THE UNIVERSE

1989 ◽  
Vol 04 (06) ◽  
pp. 507-511 ◽  
Author(s):  
V. G. GURZADYAN ◽  
A. A. KOCHARYAN
Keyword(s):  
Quantum Cosmology ◽  
Pure State ◽  
Quantum States ◽  
Mixed States ◽  
Topology Change ◽  
The Universe ◽  
State Universe

Within the framework of Hawking's quantum cosmology, a problem of a topology change of the Universe allowing differentiation between pure and mixed quantum states, is discussed. It is shown that for the pure state Universe, the transition of the sphere to torus is strongly suppressed. The corresponding probabilities are of the same order in the case of the mixed states of the Universe.

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