Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

QUANTUM POTENTIAL INTERPRETATION AND A THIRD-QUANTIZED UNIVERSE

TSUTOMU HORIGUCHI

Published Jan 1, 1993• 0 citations
OpenAlex

Abstract

We apply Bohm's quanium potential interpretation to a third-quantized uni­ verse theory. Using this interpretation, we obtain trajectories of the universe field in a third-quantized de Siuer minisuperspace model.

Related papers

The Bohm Interpretation of Quantum Cosmology

Nelson Pinto-Neto

I make a review on the aplications of the Bohm-De Broglie interpretation of quantum mechanics to quantum cosmology. In the framework of minisuperspaces models, I show how quantum cosmological effects in Bohm's view can avoid the initial singularity, isotropize the Universe, and even be a cause for the present observed acceleration of the Universe. In the general case, we enumerate the possible structures of quantum space and time.

•Oct 22, 2004•35 citations

QUANTUM POTENTIAL INTERPRETATION OF THE WHEELER-DeWITT EQUATION

TSUTOMU HORIGUCHI

We apply Bohm’s quantum potential interpretation to quantum cosmology. We study closed, flat and open minisuperspace models by introducing “extended” Robertson-Walker time which exists not only in classically allowed region but also in classically forbidden region. It is shown that how the classical universe emerges from the quantum area. We also discuss briefly quantum potential interpretation of quantum geometrodynamics based on the Arnowitt-Deser-Misner canonical formalism.

Modern Physics Letters A•May 30, 1994•25 citations

THE CAUSAL INTERPRETATION OF QUANTUM MECHANICS AND THE SINGULARITY PROBLEM AND TIME ISSUE IN QUANTUM COSMOLOGY

J. Acácio de Barros, Nelson Pinto-Neto

We apply the causal interpretation of quantum mechanics to homogeneous quantum cosmology and show that the quantum theory is independent of any time-gauge choice and there is no issue of time. We exemplify this result by studying a particular minisuperspace model where the quantum potential driven by a prescribed quantum state prevents the formation of the classical singularity, independently on the choice of the lapse function. Hence, within the framework of the causal interpretation of quantum cosmology, the fast-slow-time gauge conjecture is incorrect for homogeneous minisuperspace models.

International Journal of Modern Physics D•Apr 1, 1998•40 citations

The Time Evolution of Quantum Universe in the Quantum Potential Picture

We use the quantum potential approach to analyse the quantum cosmological model of the universe. The quantum potential arises from exact solutions of the full Wheeler-De Witt equation.

•Jan 1, 2008•0 citations

QUANTUM COSMOLOGY AND THE ACCELERATED UNIVERSE

Eduardo Sergio Santini

The quantized Friedmann-Lema\^ıtre-Robertson-Walker (FLRW) model minimally coupled to a free massless scalar field is studied and interpreted in the Bohm-de Broglie framework. We analyze the quantum bohmian trajectories corresponding to a certain class of gaussian packets, solutions of the Wheeler-DeWitt equation. We show that these bohmian trajectories undergo an accelerated expansion in the middle of its evolution due to the presence of quantum cosmological effects in this period. It is shown that the luminosity-redshift relation in the quantum cosmological model can be made close to the corresponding relation coming from the classical model suplemented by a cosmological constant, for $z<1$. In this way we have the posibility of interpreting the present observations of high redshift supernovae as the consequence of a quantum cosmological effect.

arXiv:gr-qc/0410112•The Ninth Marcel Grossmann Meeting•Feb 1, 2006•0 citations

De Broglie-Bohm Interpretation of Canonical Quantum Cosmology Implies Early Stages of the Universe Dominated by Radiation

Ch'ng, Han, Siong +2 more

理论物理通讯：英文版•Jan 1, 2013•0 citations
We apply the causal interpretation of quantum mechanics to homogeneous quantum cosmology and show that the quantum theory is independent of any time-gauge choice and there is no issue of time. We exemplify this result by studying a particular minisuperspace model where the quantum potential driven by a prescribed quantum state prevents the formation of the classical singularity, independently on the choice of the lapse function. Hence, within the framework of the causal interpretation of quantum cosmology, the fast-slow-time gauge conjecture is incorrect for homogeneous minisuperspace models.
The quantized Friedmann-Lema\^ıtre-Robertson-Walker (FLRW) model minimally coupled to a free massless scalar field is studied and interpreted in the Bohm-de Broglie framework. We analyze the quantum bohmian trajectories corresponding to a certain class of gaussian packets, solutions of the Wheeler-DeWitt equation. We show that these bohmian trajectories undergo an accelerated expansion in the middle of its evolution due to the presence of quantum cosmological effects in this period. It is shown that the luminosity-redshift relation in the quantum cosmological model can be made close to the corresponding relation coming from the classical model suplemented by a cosmological constant, for z<1z<1z<1. In this way we have the posibility of interpreting the present observations of high redshift supernovae as the consequence of a quantum cosmological effect.