Fractional Gravity/Cosmology in Classical and Quantum Regimes, Second Edition
A special issue of Fractal and Fractional (ISSN 2504-3110). This special issue belongs to the section "Mathematical Physics".
Deadline for manuscript submissions: 30 June 2025 | Viewed by 1021
Special Issue Editors
2. Department of Physics, Qazvin Branch, Islamic Azad University, Qazvin 341851416, Iran
Interests: general relativity; quantum field theory; gravitational physics; quantum mechanics; theoretical particle; physics; high-energy physics
Special Issues, Collections and Topics in MDPI journals
Interests: theoretical physics, quantum gravity, quantum cosmology, foundations of quantum mechanics
Special Issues, Collections and Topics in MDPI journals
Special Issue Information
Dear Colleagues,
In fractional calculus, the power of the differentiation operator (which is not local) is any rational (or even real or complex) number. Recently, it has been widely used in various branches of physics. Such frameworks have played an important role in understanding complex systems in both the classical and quantum regimes. In what follows, we will focus on fractional gravity and cosmology.
Regarding the classical regime, fractional derivative cosmology has been established by two different methods: (i) The Last Step Modification method is the simplest one, in which the given cosmological field equations for a specific model are replaced by the corresponding fractional field equations. (ii) The First Step Modification method can be considered a more fundamental methodology. In this method, one starts by establishing fractional derivative geometry. More concretely, the variational principle for fractional action is applied to establish a modified cosmological model.
The main objective of the mentioned methods is the investigation of open problems in gravity/cosmology.
In the context of fractional quantum mechanics, the fractional Schrödinger equation (SE) has been obtained with space, time, and spacetime fractional derivatives. These frameworks have been applied to solve various problems with different potentials.
Moreover, fractional quantum mechanics has been applied as a tool within quantum field theory and gravity for fractional spacetime.
Inspired by the modified SE mentioned above, the fractional Wheeler–DeWitt equation associated with fractional quantum cosmology was also set up.
We welcome new ideas, current developments, future perspectives, and review articles on the above fractional proposals relevant to gravitation and cosmology, which are the focus of this Special Issue.
Dr. Seyed Meraj Mousavi Rasouli
Dr. Shahram Jalalzadeh
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. Fractal and Fractional 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 2700 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
- fractional calculus
- fractional derivatives
- riesz fractional operator
- caputo fractional operator
- fractional Brownian motion
- levy path integrals
- fractional-action-like variational approach
- fractional quantum mechanics
- fractional classical cosmology
- fractional quantum cosmology
- non-local operators
Benefits of Publishing in a Special Issue
- Ease of navigation: Grouping papers by topic helps scholars navigate broad scope journals more efficiently.
- Greater discoverability: Special Issues support the reach and impact of scientific research. Articles in Special Issues are more discoverable and cited more frequently.
- Expansion of research network: Special Issues facilitate connections among authors, fostering scientific collaborations.
- External promotion: Articles in Special Issues are often promoted through the journal's social media, increasing their visibility.
- e-Book format: Special Issues with more than 10 articles can be published as dedicated e-books, ensuring wide and rapid dissemination.
Further information on MDPI's Special Issue polices can be found here.
