Special Issue "New Advances in Quantum Geometry"

A special issue of Physics (ISSN 2624-8174). This special issue belongs to the section "Classical Physics".

Deadline for manuscript submissions: 31 May 2022.

Special Issue Editors

Prof. Dr. Shidong Liang
E-Mail Website1 Website2
Guest Editor
School of Physics, Sun Yat-Sen University, Guangzhou 510275, China
Interests: quantum physics; gravity theory; theoretical condensed matter physics
Prof. Dr. Tiberiu Harko
E-Mail Website
Guest Editor
1. Astronomical Observatory, 19 Ciresilor Street, 400487 Cluj-Napoca, Romania
2. Department of Physics, Babes-Bolyai University, 400084 Cluj-Napoca, Rumania
Interests: general relativity; cosmology; modified theories of gravity; dark matter and dark energy; Bose-Einstein Condensation; high energy astrophysics; stellar structure; mathematical physics; Jacobi stability; nonlinear dynamical systems
Special Issues, Collections and Topics in MDPI journals
Dr. Matthew J. Lake
E-Mail Website
Guest Editor
Frankfurt Institute for Advanced Studies (FIAS), Ruth Moufang-Str. 1, D-60438, Frankfurt am Main, Germany
Interests: astrophysics and cosmology; high-energy physics; quantum information theory; quantum foundations; phenomenological quantum gravity

Special Issue Information

Dear Colleagues,

The expression ‘quantum geometry’ means many different things to many different people. Although virtually all researchers agree that the quantum theory of gravity, whatever form it may take, must involve a description of quantised spacetime, there is no accepted definition of this term. In this Special Issue, we invite contributions exploring the multi-faceted meanings of these two deceptively simple words.

We aim to collect together, in one volume, a range of works representing a broad overview of the diverse meanings attached to this innocent-sounding phrase over the past 95 years of research into quantum physics, information science, and gravity. Contibutions from all fields are welcome, without predudice or favour to any particular approach.  

These include but are not necessarily limited to:

  • Noncommutative geometry;
  • Spin foams and loop quantum gravity;
  • Nonlocal geometry;
  • Generalised uncertainty relations and minimum length scenarios;
  • Quantum reference frames;
  • Emergent geometry from quantum entanglement and the ‘it from bit’ scenario;
  • Information geometry;
  • Stringy geometry;
  • Holographic geometry;
  • Causal dynamical triangulations, asymptotically safe gravity, and fractal spacetimes;
  • Weyl geometry in gravity and cosmology;
  • Finsler geometry in physics.

Works on other less mainstream approaches are also welcome and each article will be considered, independently, on its own merits. Papers may include original research or contain focussed reviews of different topics.

A comprehensive summary of such a huge field is, of course, impossible within a single volume, but we hope that this issue will provide a valuable reference, and starting point, for dialogue between diverse approaches to a common theme: the problem of quantum geometry.

Prof. Dr. Shidong Liang
Prof. Dr. Tiberiu Harko
Dr. Matthew J. Lake
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 papers will be 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. Physics is an international peer-reviewed open access quarterly journal published by MDPI.

Please visit the Instructions for Authors page before submitting a manuscript. The Article Processing Charge (APC) for publication in this open access journal is 1200 CHF (Swiss Francs). 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.

Keywords

  • noncommutative geometry
  • spin foams
  • nonlocal geometry
  • generalised uncertainty relations
  • quantum reference frames
  • quantum entanglement
  • information geometry
  • string geometry
  • holographic geometry
  • Weyl geometry
  • Finsler geometry

Published Papers (1 paper)

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Research

Article
Effects of Quantum Metric Fluctuations on the Cosmological Evolution in Friedmann-Lemaitre-Robertson-Walker Geometries
Physics 2021, 3(3), 689-714; https://0-doi-org.brum.beds.ac.uk/10.3390/physics3030042 - 24 Aug 2021
Cited by 2 | Viewed by 503
Abstract
In this paper, the effects of the quantum metric fluctuations on the background cosmological dynamics of the universe are considered. To describe the quantum effects, the metric is assumed to be given by the sum of a classical component and a fluctuating component [...] Read more.
In this paper, the effects of the quantum metric fluctuations on the background cosmological dynamics of the universe are considered. To describe the quantum effects, the metric is assumed to be given by the sum of a classical component and a fluctuating component of quantum origin . At the classical level, the Einstein gravitational field equations are equivalent to a modified gravity theory, containing a non-minimal coupling between matter and geometry. The gravitational dynamics is determined by the expectation value of the fluctuating quantum correction term, which can be expressed in terms of an arbitrary tensor Kμν. To fix the functional form of the fluctuation tensor, the Newtonian limit of the theory is considered, from which the generalized Poisson equation is derived. The compatibility of the Newtonian limit with the Solar System tests allows us to fix the form of Kμν. Using these observationally consistent forms of Kμν, the generalized Friedmann equations are obtained in the presence of quantum fluctuations of the metric for the case of a flat homogeneous and isotropic geometry. The corresponding cosmological models are analyzed using both analytical and numerical method. One finds that a large variety of cosmological models can be formulated. Depending on the numerical values of the model parameters, both accelerating and decelerating behaviors can be obtained. The obtained results are compared with the standard ΛCDM (Λ Cold Dark Matter) model. Full article
(This article belongs to the Special Issue New Advances in Quantum Geometry)
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