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Symmetry
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Symmetry: Feature Papers 2025
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Symmetry: Feature Papers 2025

A special issue of Symmetry (ISSN 2073-8994).

Deadline for manuscript submissions: closed (9 January 2026) | Viewed by 4036

Special Issue Editor

Prof. Dr. Sergei Odintsov

grade E-Mail Website
Guest Editor
ICREA, 08010 Barcelona and Institute of Space Sciences (IEEC-CSIC), C. Can Magrans s/n, 08193 Barcelona, Spain
Interests: cosmology; dark energy and inflation; classical and quantum gravity; extended gravity; quantum fields in curved spacetime
Special Issues, Collections and Topics in MDPI journals

Special Issue Information

Dear Colleagues,

As Editor-in-Chief of the journal Symmetry, I am pleased to announce this Special Issue, entitled “Symmetry: Feature Papers 2025”. In recent years, we have collaborated with excellent scholars and scientific groups and have published several important high-level studies which have already been cited numerous times according to the data from Web of Science. Our current aim is to present new insights into scientific developments and cutting-edge technology related to the symmetry field which will make great contributions to the community. Thus, we will continue the Special Issue “Symmetry: Feature Papers” series in 2025.

You are welcome to send short proposals for submissions of Feature Papers to our Editorial Office (symmetry@mdpi.com) before submission. After the proposals have been evaluated, papers may be considered for publication free of charge.

These will firstly be evaluated by our Editors. Please note that selected full papers will still be subject to thorough and rigorous peer review.

Prof. Dr. Sergei Odintsov
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 250 words) can be sent to the Editorial Office for assessment.

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. Symmetry 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 2400 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

  • computer science
  • mathematics
  • physics
  • chemistry: symmetry/asymmetry
  • life sciences
  • engineering and materials

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Further information on MDPI's Special Issue policies can be found here.

Published Papers (4 papers)

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Research

14 pages, 788 KB  
Article
Scalar Vacuum Densities on Beltrami Pseudosphere
by Tigran A. Petrosyan
Symmetry 2026, 18(3), 408; https://doi.org/10.3390/sym18030408 - 26 Feb 2026
Viewed by 222
Abstract
We investigate the combined effects of spatial curvature and topology on the properties of the vacuum state for a charged scalar field localized on the (2 + 1)-dimensional Beltrami pseudosphere, assuming that the field obeys the quasiperiodicity condition with constant phase. As important [...] Read more.
We investigate the combined effects of spatial curvature and topology on the properties of the vacuum state for a charged scalar field localized on the (2 + 1)-dimensional Beltrami pseudosphere, assuming that the field obeys the quasiperiodicity condition with constant phase. As important local characteristics of the vacuum state, the vacuum expectation values (VEVs) of the field squared and energy–momentum tensor are evaluated. The contributions in the VEVs coming from geometry with an uncompactified azimuthal coordinate are divergent, whereas the compact counterparts are finite and are analyzed both numerically and asymptotically. For small values of the proper radius of the compactified dimension, the leading terms of topological contributions are independent of the field mass and curvature coupling parameter, increasing by a power law. In the opposite limit, the VEVs decay following a power law in the general case. In the special case of a conformally coupled massless field, the behavior is different. Unlike the VEV of field squared and vacuum energy density, the radial and azimuthal stresses are increasing by absolute value. As a consequence, the effects of nontrivial topology are strong for the stresses, in this case, at small values of the radial coordinate. Full article
(This article belongs to the Special Issue Symmetry: Feature Papers 2025)
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26 pages, 4595 KB  
Article
Combination of Audio Segmentation and Recurrent Neural Networks for Improved Alcohol Intoxication Detection in Speech Signals
by Pavel U. Laptev, Aleksey Sabanov, Alexander A. Shelupanov, Anton A. Konev and Alexander N. Kornetov
Symmetry 2026, 18(2), 262; https://doi.org/10.3390/sym18020262 - 30 Jan 2026
Viewed by 453
Abstract
This study proposes an approach for detecting alcohol intoxication from speech based on a combination of audio segmentation and a hybrid neural network architecture that integrates convolution neural network (CNN) and long-short term memory (LSTM) layers. The proposed design enables effective modeling of [...] Read more.
This study proposes an approach for detecting alcohol intoxication from speech based on a combination of audio segmentation and a hybrid neural network architecture that integrates convolution neural network (CNN) and long-short term memory (LSTM) layers. The proposed design enables effective modeling of both local spectral patterns and long-term temporal dependencies in speech signals. By operating on relatively long audio segments, the approach allows the simultaneous analysis of complex speech constructions and pause patterns, which are known to be sensitive to alcohol-induced speech impairments. Each audio signal was divided into two equal-duration segments that are processed sequentially by the model, which helps reduce the impact of asymmetrical distribution of intoxication-related speech artifacts. The approach was evaluated using the GradusSpeech-v1 corpus, which contains more than 1300 recordings of Russian tongue twisters collected from 31 speakers under controlled conditions in both sober and intoxicated states. Experimental results demonstrate that the proposed method achieves high performance. When full recordings are analyzed using median aggregation of segment-level predictions, the model reaches Accuracy, Recall, and F1-score values close to 0.93, indicating the effectiveness of the approach for alcohol intoxication detection in speech. Full article
(This article belongs to the Special Issue Symmetry: Feature Papers 2025)
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21 pages, 1482 KB  
Article
Models and Methods for Assessing Intruder’s Awareness of Attacked Objects
by Vladimir V. Baranov and Alexander A. Shelupanov
Symmetry 2025, 17(10), 1604; https://doi.org/10.3390/sym17101604 - 27 Sep 2025
Viewed by 577
Abstract
The formation of strategies and tactics of destructive impact (DI) at the stages of complex computer attacks (CCAs) largely depends on the content of intelligence data obtained by the intruder about the attacked elements of distributed information systems (DISs). This study analyzes scientific [...] Read more.
The formation of strategies and tactics of destructive impact (DI) at the stages of complex computer attacks (CCAs) largely depends on the content of intelligence data obtained by the intruder about the attacked elements of distributed information systems (DISs). This study analyzes scientific papers, methodologies and standards in the field of assessing the indicators of awareness of the intruder about the objects of DI and symmetrical indicators of intelligence security of the elements of the DIS. It was revealed that the aspects of changing the quantitative and qualitative characteristics of intelligence data (ID) at the stages of CCA, as well as their impact on the possibilities of using certain types of simple computer attacks (SKAs), are poorly studied and insufficiently systematized. This paper uses technologies for modeling the process of an intruder obtaining ID based on the application of the methodology of black, grey and white boxes and the theory of fuzzy sets. This allowed us to identify the relationship between certain arrays of ID and the possibilities of applying certain types of SCA end-structure arrays of ID according to the levels of identifying objects of DI, and to create a scale of intruder awareness symmetrical to the scale of intelligence protection of the elements of the DIS. Experiments were conducted to verify the practical applicability of the developed models and techniques, showing positive results that make it possible to identify vulnerable objects, tactics and techniques of the intruder in advance. The result of this study is the development of an intruder awareness scale, which includes five levels of his knowledge about the attacked system, estimated by numerical intervals and characterized by linguistic terms. Each awareness level corresponds to one CCA stage: primary ID collection, penetration and legalization, privilege escalation, distribution and DI. Awareness levels have corresponding typical ID lists that can be potentially available after conducting the corresponding type of SCA. Typical ID lists are classified according to the following DI levels: network, hardware, system, application and user level. For each awareness level, the method of obtaining the ID by the intruder is specified. These research results represent a scientific contribution. The practical contribution is the application of the developed scale for information security (IS) incident management. It allows for a proactive assessment of DIS security against CCAs—modeling the real DIS structure and various CCA scenarios. During an incident, upon detection of a certain CCA stage, it allows for identifying data on DIS elements potentially known by the intruder and eliminating further development of the incident. The results of this study can also be used for training IS specialists in network security, risk assessment and IS incident management. Full article
(This article belongs to the Special Issue Symmetry: Feature Papers 2025)
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22 pages, 335 KB  
Article
Non-Minimal Einstein–Dirac-Axion Theory: Spinorization of the Early Universe Induced by Curvature
by Alexander B. Balakin and Anna O. Efremova
Symmetry 2025, 17(5), 663; https://doi.org/10.3390/sym17050663 - 27 Apr 2025
Cited by 1 | Viewed by 1067
Abstract
A new non-minimal version of the Einstein–Dirac-axion theory is established. This version of the non-minimal theory describing the interaction of gravitational, spinor, and axion fields is of the second order in derivatives in the context of the Effective Field Theory and is of [...] Read more.
A new non-minimal version of the Einstein–Dirac-axion theory is established. This version of the non-minimal theory describing the interaction of gravitational, spinor, and axion fields is of the second order in derivatives in the context of the Effective Field Theory and is of the first order in the spinor particle number density. The model Lagrangian contains four parameters of non-minimal coupling and includes, in addition to the Riemann tensor, Ricci tensor, and Ricci scalar, as well as left-dual and right-dual curvature tensors. The pseudoscalar field appears in the Lagrangian in terms of trigonometric functions providing the discrete symmetry associated with axions, which is supported. The coupled system of extended master equations for the gravitational, spinor, and axion fields is derived; the structure of new non-minimal sources that appear in these master equations is discussed. Application of the established theory to the isotropic homogeneous cosmological model is considered; new exact solutions are presented for a few model sets of guiding non-minimal parameters. A special solution is presented, which describes an exponential growth of the spinor number density; this solution shows that spinor particles (massive fermions and massless neutrinos) can be born in the early Universe due to the non-minimal interaction with the spacetime curvature. Full article
(This article belongs to the Special Issue Symmetry: Feature Papers 2025)
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