Special Issue "Advances in Loop Quantum Cosmology"

A special issue of Universe (ISSN 2218-1997). This special issue belongs to the section "Field Theory".

Deadline for manuscript submissions: closed (31 July 2021) | Viewed by 1629

Special Issue Editors

Prof. Dr. Gerald B. Cleaver
Guest Editor
Early Universe Cosmology and Strings (EUCOS) Group, Center for Astrophysics, Space Physics and Engineering Research (CASPER), Baylor University, Waco, TX 76798, USA
Interests: quantum field theory; quantum gravity; quantum cosmology; traversable wormholes; Casimir effect; quantum information theory; quantum thermodynamics; philosophical foundations of quantum mechanics; multiverse concepts, especially those related the sciences and philosophy
Special Issues, Collections and Topics in MDPI journals
Prof. Dr. Mairi Sakellariadou
E-Mail Website
Guest Editor
Department of Physics, King's College London, London WC2R 2LS, UK
Interests: noncommutative spectral geometry; string/M-theory cosmology; loop quantum cosmology; group field theory; gravitational waves; cosmic (super)strings
Special Issues, Collections and Topics in MDPI journals

Special Issue Information

Dear Colleagues,

The appearance of spacetime singularities is generic to general relativity and is viewed as an indicator of the conditions under which the classical theory of gravity breaks down. Loop quantum cosmology (LQC) is a finite, symmetry reduced model of loop quantum gravity (LQG) that is believed to eliminate big bang (and big crunch) singularities. LQC replaces a standard big bang singularity with a big bounce, wherein a preceding contracting universe avoids a singularity by the repulsive quantum effects of LQG that become strong for physics at the Planck scale. LQC has been a growing field since its birth around 1999. The proposal has matured significantly over 20-plus years. However, significant advancements are still appearing. This Special Issue of Universe is devoted to developments in the field over the last year. We invite you to submit to this Special Issue an original research or review article on any topic relevant to the field.

Topics of particular interest for this Special Issue include:

  • symmetry reductions;
  • minisuperspace construction of LQC models;
  • consistent formalism construction;
  • dynamics and evolution of LQC models;
  • CMB predictions and observational signatures of LQC;
  • LQC quantization; and
  • bouncing versus non-bouncing LQC solutions.

Prof. Dr. Gerald Cleaver
Prof. Dr. Mairi Sakellariadou
Guest Editors

Manuscript Submission Information

Manuscripts should be submitted online at www.mdpi.com by registering and logging in to this website. Once you are registered, click here to go to the submission form. Manuscripts can be submitted until the deadline. All submissions that pass pre-check are peer-reviewed. Accepted papers will be published continuously in the journal (as soon as accepted) and will be listed together on the special issue website. Research articles, review articles as well as short communications are invited. For planned papers, a title and short abstract (about 100 words) can be sent to the Editorial Office for announcement on this website.

Submitted manuscripts should not have been published previously, nor be under consideration for publication elsewhere (except conference proceedings papers). All manuscripts are thoroughly refereed through a single-blind peer-review process. A guide for authors and other relevant information for submission of manuscripts is available on the Instructions for Authors page. Universe is an international peer-reviewed open access monthly journal published by MDPI.

Please visit the Instructions for Authors page before submitting a manuscript. Submitted papers should be well formatted and use good English. Authors may use MDPI's English editing service prior to publication or during author revisions.

Published Papers (1 paper)

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The Quantization of Gravity: Quantization of the Hamilton Equations
Universe 2021, 7(4), 91; https://doi.org/10.3390/universe7040091 - 07 Apr 2021
Cited by 1 | Viewed by 1245
We quantize the Hamilton equations instead of the Hamilton condition. The resulting equation has the simple form Δu=0 in a fiber bundle, where the Laplacian is the Laplacian of the Wheeler–DeWitt metric provided n4. Using then [...] Read more.
We quantize the Hamilton equations instead of the Hamilton condition. The resulting equation has the simple form Δu=0 in a fiber bundle, where the Laplacian is the Laplacian of the Wheeler–DeWitt metric provided n4. Using then separation of variables, the solutions u can be expressed as products of temporal and spatial eigenfunctions, where the spatial eigenfunctions are eigenfunctions of the Laplacian in the symmetric space SL(n,R)/SO(n). Since one can define a Schwartz space and tempered distributions in SL(n,R)/SO(n) as well as a Fourier transform, Fourier quantization can be applied such that the spatial eigenfunctions are transformed to Dirac measures and the spatial Laplacian to a multiplication operator. Full article
(This article belongs to the Special Issue Advances in Loop Quantum Cosmology)
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