Next Article in Journal
Unbiased Long-Term Monitoring at TeV Energies
Previous Article in Journal
The Important Role of Cosmic-Ray Re-Acceleration
Article Menu

Export Article

Open AccessReview

Quantum Cosmology in the Light of Quantum Mechanics

Departamento de matemáticas, IES Miguel Delibes, Miguel Hernández 2, 28991 Torrejón de la Calzada, Spain
Estación Ecológica de Biocosmología, Pedro de Alvarado, 14, 06411 Medellín, Spain
Galaxies 2019, 7(2), 50;
Received: 29 January 2019 / Revised: 10 April 2019 / Accepted: 18 April 2019 / Published: 24 April 2019
PDF [642 KB, uploaded 14 May 2019]


There is a formal analogy between the evolution of the universe, when it is seen as a trajectory in the minisuperspace, and the worldline followed by a test particle in a curved spacetime. The analogy can be extended to the quantum realm, where the trajectories are transformed into wave packets that give us the probability of finding the universe or the particle in a given point of their respective spaces: the spacetime in the case of the particle and the minisuperspace in the case of the universe. The wave function of the spacetime and the matter fields, all together, can then be seen as a super-field that propagates in the minisuperspace and the so-called third quantisation procedure can be applied in a parallel way as the second quantisation procedure is performed with a matter field that propagates in the spacetime. The super-field can thus be interpreted as made up of universes propagating, i.e., evolving, in the minisuperspace. The analogy can also be used in the opposite direction. The way in which the semiclassical state of the universe is obtained in quantum cosmology allows us to obtain, from the quantum state of a field that propagates in the spacetime, the geodesics of the underlying spacetime as well as their quantum uncertainties or dispersions. This might settle a new starting point for a different quantisation of the spacetime. View Full-Text
Keywords: quantum cosmology; semiclassical description; multiverse; minisuperspace; canonical quantisation of spacetime coordinates quantum cosmology; semiclassical description; multiverse; minisuperspace; canonical quantisation of spacetime coordinates

Figure 1

This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).

Share & Cite This Article

MDPI and ACS Style

Robles-Pérez, S.J. Quantum Cosmology in the Light of Quantum Mechanics. Galaxies 2019, 7, 50.

Show more citation formats Show less citations formats

Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.

Related Articles

Article Metrics

Article Access Statistics



[Return to top]
Galaxies EISSN 2075-4434 Published by MDPI AG, Basel, Switzerland RSS E-Mail Table of Contents Alert
Back to Top