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Entropy
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Quantum Spacetime and Entanglement Entropy
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Quantum Spacetime and Entanglement Entropy

A special issue of Entropy (ISSN 1099-4300). This special issue belongs to the section "Quantum Information".

Deadline for manuscript submissions: closed (20 December 2019) | Viewed by 98321

Special Issue Editor

Dr. Paola Zizzi

E-Mail Website
Guest Editor
Department of Pure and Applied Mathematics, University of Padova, Via Belzoni 7, 35131 Padova, Italy
Interests: quantum gravity; quantum cosmology; quantum information
Special Issues, Collections and Topics in MDPI journals

Special Issue Information

Dear Colleagues,

The philosophical concept of quantum spacetime and its ontological nature are not clearly defined. Consequently, a deep understanding of the physical and/or mathematical structure of quantum spacetime is still missing. There have been several different attempts to build a theory of quantum spacetime (quantum gravity) among which string theory, loop quantum gravity, and noncommutative geometry, but the only point they agree on is that quantum spacetime should “occur” at about the Planck scale.

Quite recently, a new perspective arose, that of looking at a possible quantum computational spacetime. In this context, it may happen that spacetime itself is entangled. Then, entanglement entropy would become an important feature of a possible theory of quantum gravity.

Dr. Paola Zizzi
Guest Editor

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. Entropy is an international peer-reviewed open access monthly 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 2600 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

  • quantum spaces
  • quantum gravity
  • quantum computing
  • Planck scale geometry
  • holographic principle
  • entanglement entropy

Published Papers (2 papers)

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Research

26 pages, 427 KiB  
Article
The Self-Simulation Hypothesis Interpretation of Quantum Mechanics
by Klee Irwin, Marcelo Amaral and David Chester
Entropy 2020, 22(2), 247; https://doi.org/10.3390/e22020247 - 21 Feb 2020
Cited by 11 | Viewed by 91960
Abstract
We modify the simulation hypothesis to a self-simulation hypothesis, where the physical universe, as a strange loop, is a mental self-simulation that might exist as one of a broad class of possible code theoretic quantum gravity models of reality obeying the principle [...] Read more.
We modify the simulation hypothesis to a self-simulation hypothesis, where the physical universe, as a strange loop, is a mental self-simulation that might exist as one of a broad class of possible code theoretic quantum gravity models of reality obeying the principle of efficient language axiom. This leads to ontological interpretations about quantum mechanics. We also discuss some implications of the self-simulation hypothesis such as an informational arrow of time. Full article
(This article belongs to the Special Issue Quantum Spacetime and Entanglement Entropy)
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8 pages, 230 KiB  
Article
Entropy Balance in the Expanding Universe: A Novel Perspective
by Arturo Tozzi and James F. Peters
Entropy 2019, 21(4), 406; https://doi.org/10.3390/e21040406 - 17 Apr 2019
Cited by 2 | Viewed by 5474
Abstract
We describe cosmic expansion as correlated with the standpoints of local observers’ co-moving horizons. In keeping with relational quantum mechanics, which claims that quantum systems are only meaningful in the context of measurements, we suggest that information gets ergodically “diluted” in our isotropic [...] Read more.
We describe cosmic expansion as correlated with the standpoints of local observers’ co-moving horizons. In keeping with relational quantum mechanics, which claims that quantum systems are only meaningful in the context of measurements, we suggest that information gets ergodically “diluted” in our isotropic and homogeneous expanding Universe, so that an observer detects just a limited amount of the total cosmic bits. The reduced bit perception is due the decreased density of information inside the expanding cosmic volume in which the observer resides. Further, we show that the second law of thermodynamics can be correlated with cosmic expansion through a relational mechanism, because the decrease in information detected by a local observer in an expanding Universe is concomitant with an increase in perceived cosmic thermodynamic entropy, via the Bekenstein bound and the Laudauer principle. Reversing the classical scheme from thermodynamic entropy to information, we suggest that the cosmological constant of the quantum vacuum, which is believed to provoke the current cosmic expansion, could be one of the sources of the perceived increases in thermodynamic entropy. We conclude that entropies, including the entangled entropy of the recently developed framework of quantum computational spacetime, might not describe independent properties, but rather relations among systems and observers. Full article
(This article belongs to the Special Issue Quantum Spacetime and Entanglement Entropy)
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