An apparent conflict between the de Broglie-Bohm model and orthodoxy in quantum cosmology

1992 ◽  
Vol 5 (1) ◽  
pp. 71-75 ◽  
Author(s):  
Euan J. Squires
Keyword(s):  
Quantum Cosmology ◽  
Bohm Model ◽  
Apparent Conflict ◽  
De Broglie Bohm

Phase space generalization of the de Broglie-Bohm model

1997 ◽  
Vol 27 (6) ◽  
pp. 845-863 ◽  
Author(s):  
Roderick I. Sutherland
Keyword(s):  
Phase Space ◽  
Bohm Model ◽  
De Broglie Bohm

Geometric phase, quantum measurements, and the de Broglie–Bohm model

1997 ◽  
Vol 56 (2) ◽  
pp. 1638-1641 ◽  
Author(s):  
Erik Sjöqvist ◽  
Henrik Carlsen
Keyword(s):  
Geometric Phase ◽  
Quantum Measurements ◽  
Bohm Model ◽  
De Broglie Bohm

scholarly journals The de Broglie–Bohm Quantum Theory and Its Application to Quantum Cosmology

Universe ◽  
2021 ◽  
Vol 7 (5) ◽  
pp. 134
Author(s):  
Nelson Pinto-Neto
Keyword(s):  
Quantum Theory ◽  
Configuration Space ◽  
Physical System ◽  
Quantum Cosmology ◽  
Dynamical Theory ◽  
Cosmological Models ◽  
Cosmological Perturbations ◽  
Alternative Description ◽  
Quantum Phenomena ◽  
De Broglie Bohm

We review the de Broglie–Bohm quantum theory. It is an alternative description of quantum phenomena in accordance with all the quantum experiments already performed. Essentially, it is a dynamical theory about objectively real trajectories in the configuration space of the physical system under investigation. Hence, it is not necessarily probabilistic, and it dispenses with the collapse postulate, making it suitable to be applied to cosmology. The emerging cosmological models are usually free of singularities, with a bounce connecting a contracting era with an expanding phase, which we are now observing. A theory of cosmological perturbations can also be constructed under this framework, which can be successfully confronted with current observations, and can complement inflation or even be an alternative to it.

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 Will Quantum Cosmology Resurrect Chaotic Inflation Model?

2016 ◽  
Vol 43 ◽  
pp. 1660205 ◽  
Author(s):  
Sang Pyo Kim ◽  
Won Kim
Keyword(s):  
Wave Function ◽  
Quantum Cosmology ◽  
Quantum Corrections ◽  
Inflation Model ◽  
Starobinsky Model ◽  
Curvature Term ◽  
Single Field ◽  
Viable Model ◽  
De Broglie Bohm ◽  
Chaotic Inflation

The single field chaotic inflation model with a monomial power greater than one seems to be ruled out by the recent Planck and WMAP CMB data while Starobinsky model with a higher curvature term seems to be a viable model. Higher curvature terms being originated from quantum fluctuations, we revisit the quantum cosmology of the Wheeler-DeWitt equation for the chaotic inflation model. The semiclassical cosmology emerges from quantum cosmology with fluctuations of spacetimes and matter when the wave function is peaked around the semiclassical trajectory with quantum corrections a la the de Broglie-Bohm pilot theory.

scholarly journals Bouncing Quantum Cosmology

Universe ◽  
2021 ◽  
Vol 7 (4) ◽  
pp. 110
Author(s):  
Nelson Pinto-Neto
Keyword(s):  
Dark Matter ◽  
Quantum Theory ◽  
Dark Energy ◽  
Quantum Cosmology ◽  
Canonical Quantization ◽  
Quantization Scheme ◽  
Physical Effects ◽  
Planck Energy ◽  
De Broglie Bohm

The goal of this contribution is to present the properties of a class of quantum bouncing models in which the quantum bounce originates from the Dirac canonical quantization of a midi-superspace model composed of a homogeneous and isotropic background, together with small inhomogeneous perturbations. The resulting Wheeler-DeWitt equation is interpreted in the framework of the de Broglie-Bohm quantum theory, enormously simplifying the calculations, conceptually and technically. It is shown that the resulting models are stable and they never get to close to the Planck energy, where another more involved quantization scheme would have to be evoked, and they are compatible with present observations. Some physical effects around the bounce are discussed, like baryogenesis and magnetogenesis, and the crucial role of dark matter and dark energy is also studied.

scholarly journals On geometro dynamics in atomic stationary states

2019 ◽  
Vol 65 (2) ◽  
pp. 148
Author(s):  
G. Gómez i Blanch ◽  
And M.J. Fullana i Alfonso
Keyword(s):  
Wave Function ◽  
Lorentzian Manifold ◽  
Momentum Tensor ◽  
Stationary States ◽  
Dynamic Approach ◽  
Metric Tensor ◽  
Lorentzian Metric ◽  
Non Local ◽  
Bohm Model ◽  
De Broglie Bohm

In a previous paper [G.Gomez Blanch and M.J.Fullana, 2017] we dened, in the frame of a geometro-dynamic approach, a metric corresponding to a lorentzian spacetime were the electron stationary trajectories in an hydrogenoid atom, derived from the de Broglie-Bohm model, are geodesics. In this paper we want to complete this purpose: we will determinate the remaining relevant geometrical elements of that approach and we will calculate the energetic density component of the energy-momentum tensor. We will discuss the meaning of the obtained results and their relationship with other geometro-dynamic approaches.Furthermore, we will derive a more general relationship between the lorentzian metric tensor and the wave function for general stationary states. The electron description by the wave function ψ in the Euclidean space and time is shown equivalent to the description by a metric tensor in an lorentzian manifold. In our approach, the particle acquires a determining role over thewave function, in a similar manner as the wave function determines the movement of the particle. This dialectic approach overcomes the de Broglie-Bohm model. And furthermore, a non local element (the quantum potential) is introduced in the model, that therefore goes beyond the relativistic locality.

scholarly journals Quantum cosmology from the de Broglie–Bohm perspective

2013 ◽  
Vol 30 (14) ◽  
pp. 143001 ◽  
Author(s):  
N Pinto-Neto ◽  
J C Fabris
Keyword(s):  
Quantum Cosmology ◽  
De Broglie Bohm

scholarly journals De Broglie–Bohm interpretation of a Hořava–Lifshitz quantum cosmology model

2018 ◽  
Vol 33 (02) ◽  
pp. 1850014 ◽  
Author(s):  
G. Oliveira-Neto ◽  
L. G. Martins ◽  
G. A. Monerat ◽  
E. V. Corrêa Silva
Keyword(s):  
Perfect Fluid ◽  
Quantum Cosmology ◽  
Scale Factor ◽  
Quantum Potential ◽  
Quantum Level ◽  
Strong Indication ◽  
Bohm Interpretation ◽  
De Broglie Bohm

In this paper, we consider the De Broglie–Bohm interpretation of a Hořava–Lifshitz quantum cosmology model in the presence of a radiation perfect fluid. We compute the Bohm’s trajectory for the scale factor and show that it never goes to zero. That result gives a strong indication that this model is free from singularities at the quantum level. We also compute the quantum potential. That quantity helps in understanding why the scale factor never vanishes.

Sign in / Sign up

Export Citation Format

Share Document