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  • Entry
  • Open Access
1 Citations
4,942 Views
22 Pages

Extra Dimensions in Quantum Newtonian Cosmology

  • Robert Colson Sapp and
  • Jeffery A. Secrest

This entry surveys the role of extra dimensions in Newtonian quantum cosmology, with particular emphasis on large, compactified, and warped dimensional geometries and their impact on the Newtonian potential in the early universe. The discussion begin...

(This article belongs to the Section Physical Sciences)
  • Article
  • Open Access
9 Citations
4,979 Views
18 Pages

Einstein-Gauss-Bonnet Gravity with Extra Dimensions

  • Carsten van de Bruck and
  • Chris Longden

We consider a theory of modified gravity possessing d extra spatial dimensions with a maximally symmetric metric and a scale factor, whose ( 4 + d ) -dimensional gravitational action contains terms proportional to quadratic curvature scalars....

  • Article
  • Open Access
1,844 Views
19 Pages

9 September 2025

The temperature and polarization anisotropies of the cosmic microwave background (CMB) as measured today can offer key insights into the topology of the early universe prior to inflation, for example by discriminating between flat and warped geometri...

(This article belongs to the Special Issue Universe: Feature Papers 2024—'Cosmology')
  • Abstract
  • Open Access
2,089 Views
1 Page

Can an Extra Dimension Pull Space-Time?

  • Vijay Singh and
  • Aroonkumar Beesham

Over the years, efforts to unify gravity with other fundamental forces in nature has been an active field of research. Looking for the common origin of fundamental interactions, one may arrive at Kaluza–Klein type theories. Generalized Kaluza–Klein m...

(This article belongs to the Proceedings of The 1st Electronic Conference on Universe)
  • Article
  • Open Access
7 Citations
3,508 Views
16 Pages

Vacuum Energy in Saez-Ballester Theory and Stabilization of Extra Dimensions

  • Pheiroijam Suranjoy Singh and
  • Kangujam Priyokumar Singh

18 January 2022

In this work, we study a spherically symmetric metric in 5D within the framework of Saez-Ballester Theory, where minimal dark energy-matter interaction occurs. We predict that the expanding isotropic universe will be progressively DE dominated. We es...

(This article belongs to the Special Issue Alternative Gravities and Fundamental Cosmology)
  • Commentary
  • Open Access
2,656 Views
8 Pages

Vestibular Symptoms: An Underrecognized Extra-Sinonasal Dimension of Chronic Rhinosinusitis

  • Luca Galassi,
  • Niccolò Le Donne,
  • Beatrice Faitelli,
  • Mattia Onesti,
  • Francesca Piacente and
  • Gabriele Carioti

Chronic rhinosinusitis (CRS) is a prevalent inflammatory disease traditionally defined and assessed by sinonasal symptoms such as nasal obstruction, rhinorrhea, facial pressure, and olfactory dysfunction. However, the burden of CRS extends beyond the...

  • Article
  • Open Access
5 Citations
3,705 Views
9 Pages

Formation of Conserved Charge at the de Sitter Space

  • Valery V. Nikulin,
  • Polina M. Petriakova and
  • Sergey G. Rubin

14 April 2020

The article considers a new mechanism of charge accumulation in the early Universe in theories with compact extra dimensions. The relaxation processes in the extra space metric that take place during its formation lead to the establishment of symmetr...

(This article belongs to the Special Issue Beyond the Standard Models in Particle Physics and Cosmology)
  • Feature Paper
  • Review
  • Open Access
5 Citations
3,850 Views
14 Pages

17 December 2019

We review a possible origin of cosmological inflation from higher ( D ) spacetime dimensions in the context of modified gravity theory. It is demonstrated that it requires a spontaneous warped compactification of higher ( D ) spacetim...

(This article belongs to the Special Issue Cosmoparticle Physics - dedicated to A.D.Sakharov's 100 Anniversary)
  • Article
  • Open Access
11 Citations
5,059 Views
36 Pages

Gauge Theories: From Kaluza–Klein to noncommutative gravity theories

  • George Manolakos,
  • Pantelis Manousselis and
  • George Zoupanos

2 July 2019

First, the Coset Space Dimensional Reduction scheme and the best particle physics model so far resulting from it are reviewed. Then, a higher-dimensional theory in which the extra dimensions are fuzzy coset spaces is described and a dimensional reduc...

(This article belongs to the Section C: Physics)
  • Article
  • Open Access
1 Citations
2,584 Views
18 Pages

31 March 2024

The origin and evolution of supermassive black holes (SMBHs) in our universe have sparked controversy. In this study, we explore the hypothesis that some of these black holes may have seeded from the direct collapse of dark energy domains with densit...

(This article belongs to the Special Issue The Friedmann Cosmology: A Century Later)
  • Feature Paper
  • Article
  • Open Access
3 Citations
4,892 Views
9 Pages

We use experimental limits on Lorentz violation within the framework of the Standard-Model Extension to derive quantitative constraints on Space-Time-Matter theory, a version of Kaluza–Klein theory in which the cylinder condition is relaxed so that f...

(This article belongs to the Special Issue Lorentz Violation in Astroparticles and Gravitational Waves)
  • Article
  • Open Access
1,392 Views
11 Pages

22 August 2025

Using the precise measurements of the scattering length of neutron–matter interaction obtained through the method of neutron reflectometry by gravity, we establish new empirical constraints on deviations from the standard behavior of the gravit...

(This article belongs to the Special Issue Exploring and Constraining Alternative Theories of Gravity)
  • Article
  • Open Access
681 Views
15 Pages

Modified Dispersion Relation in Kaluza–Klein Theory

  • Anna Horváth,
  • Aneta Wojnar and
  • Gergely Gábor Barnaföldi

In this study, corrections to the dispersion relation in Kaluza–Klein theory with one extra compactified spatial dimension were analyzed in a static, spherically symmetric case. The Ricci scalar curvatures of spacetime and phase space in the Ei...

(This article belongs to the Special Issue Particles and Plasmas in Strong Fields, Part 2)
  • Article
  • Open Access
1,088 Views
19 Pages

16 January 2026

We investigated an exact solution in a conformal invariant Randall-Sundrum 5D warped brane world model on a time dependent Kerr-like spacetime. The singular points are determined by a quintic polynomial in the complex plane and fulfills Cauchy’...

(This article belongs to the Section Foundations of Quantum Mechanics and Quantum Gravity)
  • Review
  • Open Access
6 Citations
3,005 Views
21 Pages

Gravity with Higher Derivatives in D-Dimensions

  • Sergey G. Rubin,
  • Arkadiy Popov and
  • Polina M. Petriakova

20 October 2020

The aim of this review is to discuss the ways to obtain results based on gravity with higher derivatives in D-dimensional world. We considered the following ways: (1) reduction to scalar tensor gravity, (2) direct solution of the equations of motion,...

(This article belongs to the Special Issue Selected Papers from the 17th Russian Gravitational Conference —International Conference on Gravitation, Cosmology and Astrophysics (RUSGRAV-17))
  • Review
  • Open Access
3 Citations
5,367 Views
18 Pages

Acoustics Perception in Special-Shaped Spaces: A Systematic Review

  • Xuejiao Kong,
  • Hui Ma,
  • Jian Kang and
  • Chao Wang

25 January 2024

The purpose of this paper is to review the acoustic perception of special-shaped spaces. Peer-reviewed English-language journal articles published between 2003 and 2023 were searched in the Web of Science and Scopus databases by using the keywords “p...

(This article belongs to the Section Building Energy, Physics, Environment, and Systems)
  • Article
  • Open Access
2 Citations
2,624 Views
9 Pages

Local Regions with Expanding Extra Dimensions

  • Kirill A. Bronnikov and
  • Sergey G. Rubin

13 September 2021

In this paper possible spatial domains, containing expanding extra dimensions, are studied. It is demonstrated that these domains are predicted in the framework of f(R) gravity (where R is the scalar curviture) and could appear due to quantum fluctua...

(This article belongs to the Special Issue Light on Dark Worlds—A Themed Issue in Honor of Professor Maxim Yu. Khlopov on the Occasion of His 70th Birthday)
  • Article
  • Open Access
21 Citations
10,747 Views
16 Pages

Microcanonical Description of (Micro) Black Holes

  • Roberto Casadio and
  • Benjamin Harms

14 February 2011

The microcanonical ensemble is the proper ensemble to describe black holes which are not in thermodynamic equilibrium, such as radiating black holes. This choice of ensemble eliminates the problems, e.g., negative specific heat (not allowed in the ca...

(This article belongs to the Special Issue Entropy in Quantum Gravity)
  • Article
  • Open Access
1 Citations
4,538 Views
21 Pages

Time-like Extra Dimensions: Quantum Nonlocality, Spin, and Tsirelson Bound

  • Mohammad Furquan,
  • Tejinder P. Singh and
  • P Samuel Wesley

27 April 2025

The E8⊗E8 octonionic theory of unification suggests that our universe is six-dimensional and that the two extra dimensions are time-like. These time-like extra dimensions, in principle, offer an explanation of the quantum nonlocality puzzle, a...

(This article belongs to the Special Issue Loop Quantum Gravity and Non-Perturbative Approaches to Quantum Cosmology, Second Edition)
  • Article
  • Open Access
1,487 Views
10 Pages

1 February 2025

In this article, we consider the 4 + n dimensional spacetimes among which one is the four dimensional physical Universe and the other is an n-dimensional sphere with constant radius in the framework of Lanczos-Lovelock gravity. We find that the curva...

(This article belongs to the Special Issue Modified Gravity and Dark Energy Theories)
  • Article
  • Open Access
6 Citations
4,421 Views
10 Pages

We discuss a possible scale of gravitational origin at around 10 MeV, or 10−12 cm, which arises in the MacDowell–Mansouri formalism of gravity due to the topological Gauss–Bonnet term in the action, as pointed out by Bjorken several years ago. A leng...

(This article belongs to the Special Issue Gravity, Black Holes and Cosmology XXI)
  • Article
  • Open Access
2,903 Views
16 Pages

Space Dimension Renormdynamics

  • Martin Bures and
  • Nugzar Makhaldiani

17 April 2020

We aim to construct a potential better suited for studying quarkonium spectroscopy. We put the Cornell potential into a more geometrical setting by smoothly interpolating between the observed small and large distance behaviour of the quarkonium poten...

(This article belongs to the Special Issue Quantum Field Theory at the Limits: From Strong Fields to Heavy Quarks)
  • Article
  • Open Access
6 Citations
3,501 Views
12 Pages

Underground Tests of Quantum Mechanics by the VIP Collaboration at Gran Sasso

  • Fabrizio Napolitano,
  • Andrea Addazi,
  • Angelo Bassi,
  • Massimiliano Bazzi,
  • Mario Bragadireanu,
  • Michael Cargnelli,
  • Alberto Clozza,
  • Luca De Paolis,
  • Raffaele Del Grande and
  • Catalina Curceanu
  • + 19 authors

11 February 2023

Modern physics lays its foundations on the pillars of Quantum Mechanics (QM), which has been proven successful to describe the microscopic world of atoms and particles, leading to the construction of the Standard Model. Despite the big success, the o...

(This article belongs to the Section D: Chemistry: Symmetry/Asymmetry)
  • Article
  • Open Access
10 Citations
1,415 Views
20 Pages

Coal mining disturbance induces progressive damage and fracturing in overlying rock (OLR), forming a complex fracture network. This process triggers groundwater depletion, ecological degradation, and severely compromises mine safety. Based on field d...

(This article belongs to the Special Issue Applications of Fractal Analysis in Underground Engineering, Second Edition)
  • Communication
  • Open Access
3 Citations
1,872 Views
17 Pages

Entropy has traditionally been understood as a phenomenological principle, capturing time irreversibility in physical processes. In this work, we propose that entropy can emerge as a geometric property of higher-dimensional spacetime. Within a Kaluza...

  • Article
  • Open Access
8 Citations
3,124 Views
11 Pages

4 December 2019

We investigated the implications of string theory in the high-precision regime of quantum mechanics. In particular, we examined a quantum field theoretical propagator which was derived from string theory when compactified at the T-duality self-dual r...

(This article belongs to the Special Issue Modified Theories of Gravity)
  • Article
  • Open Access
2 Citations
3,155 Views
15 Pages

25 December 2019

The extra space paradigm plays a significant role in modern physics and cosmology as a specific case. In this review, the relation between the main cosmological parameters—the Planck mass and the Cosmological constants—and a metric of ext...

(This article belongs to the Special Issue Cosmoparticle Physics - dedicated to A.D.Sakharov's 100 Anniversary)
  • Article
  • Open Access
3 Citations
1,382 Views
16 Pages

Spontaneous Brane Formation

  • Arkadiy A. Popov and
  • Sergey G. Rubin

7 February 2025

This paper presents a study of brane formation in six-dimensional space. There is no a priori assumption of the existence of brane(s). However, an analysis of the generalized Einstein equations shows that there is a set of metrics describing two stat...

(This article belongs to the Special Issue Quantum Gravity and Cosmology: Exploring the Astroparticle Interface)
  • Conference Report
  • Open Access
3 Citations
2,971 Views
9 Pages

29 November 2018

We consider the 6D Cascading DGP model, a braneworld model which is a promising candidate to realize the phenomenon of the degravitation of vacuum energy. Focusing on a recently proposed thin limit description of the model, we study solutions where t...

(This article belongs to the Special Issue Estate Quantistica Conference - Recent Developments in Gravity, Cosmology, and Mathematical Physics)
  • Article
  • Open Access
1,297 Views
14 Pages

3 February 2026

We investigate primordial black hole (PBH) production via the collapse of supercritical domain walls in a quadratic f(R)-gravity model with tensor extensions. The effective field theory for an extra space’s scalar curvature provides a foundatio...

(This article belongs to the Section Phenomenology and Physics Beyond the Standard Model)
  • Article
  • Open Access
10 Citations
2,116 Views
24 Pages

5 September 2024

DUNE is a next-generation long-baseline neutrino oscillation experiment. It is expected to measure, with unprecedented precision, the atmospheric oscillation parameters, including the CP-violating phase δCP. Moreover, several studies have sugge...

(This article belongs to the Section High Energy Nuclear and Particle Physics)
  • Review
  • Open Access
4 Citations
4,977 Views
13 Pages

10 August 2016

Loop quantum cosmology (LQC) is a framework of quantum cosmology based on the quantization of symmetry reduced models following the quantization techniques of loop quantum gravity (LQG). This paper is devoted to reviewing LQC as well as its various e...

  • Article
  • Open Access
3,750 Views
21 Pages

21 March 2023

The performance of a financial portfolio depends on the output of two tasks: first, a forecasting process, where quantities of interest for the investors, such as the rate of return and risk for each stock, are predicted into the future, and second,...

(This article belongs to the Section D1: Probability and Statistics)
  • Review
  • Open Access
4 Citations
2,021 Views
28 Pages

18 November 2024

In the current review, we provide a summary of the recent progress made in the cosmological aspect of extra-dimensional Lovelock gravity. Our review covers a wide variety of particular model/matter source combinations: Einstein–Gauss–Bonn...

(This article belongs to the Special Issue Cosmological Models of the Universe)
  • Article
  • Open Access
17 Citations
3,338 Views
8 Pages

We consider isofrequency pairing of geodesic orbits that share the same three orbital frequencies associated with Ωr^, Ωφ^, and Ωω^ in a particular region of parameter space around black string spacetime geometry. We study the effect of a compact ext...

(This article belongs to the Special Issue Global Understanding of Accretion and Ejection around Black Holes)
  • Article
  • Open Access
28 Citations
8,079 Views
22 Pages

14 May 2016

Recently a short scale modified black hole metric, known as holographic metric, has been proposed in order to capture the self-complete character of gravity. In this paper we show that such a metric can reproduce some geometric features expected from...

(This article belongs to the Special Issue Entropy in Quantum Gravity and Quantum Cosmology)
  • Article
  • Open Access
4 Citations
2,832 Views
15 Pages

Algorithmic Information Distortions in Node-Aligned and Node-Unaligned Multidimensional Networks

  • Felipe S. Abrahão,
  • Klaus Wehmuth,
  • Hector Zenil and
  • Artur Ziviani

29 June 2021

In this article, we investigate limitations of importing methods based on algorithmic information theory from monoplex networks into multidimensional networks (such as multilayer networks) that have a large number of extra dimensions (i.e., aspects)....

(This article belongs to the Special Issue Selected Papers from the Ninth International Conference on Complex Networks and Their Applications)
  • Article
  • Open Access
7 Citations
5,509 Views
16 Pages

Gravitational Measurements in Higher Dimensions

  • Davood Mahdavian Yekta,
  • Seyed Aliasghar Alavi and
  • Majid Karimabadi

11 January 2021

We attempt to study three significant tests of general relativity in higher dimensions, both in commutative and non-commutative spaces. In the context of non-commutative geometry, we will consider a solution of Einstein’s equation in higher dim...

(This article belongs to the Collection A Trip across the Universe: Our Present Knowledge and Future Perspectives)
  • Article
  • Open Access
1,055 Views
14 Pages

29 July 2025

In the design of multiprocessor systems, evaluating the reliability of interconnection networks is a critical aspect that significantly impacts system performance and functionality. When quantifying the reliability of these networks, extra connectivi...

  • Article
  • Open Access
2 Citations
7,264 Views
29 Pages

30 January 2002

In this article we use the idea of algorithmic complexity (AC) to study various cosmological scenarios, and as a means of quantizing the ravitational interaction. We look at 5D and 7D cosmological models where the Universe begins as a higher dimensio...

  • Article
  • Open Access
4 Citations
3,539 Views
29 Pages

26 August 2023

A promising method for understanding the geometric properties of a spacetime in the vicinity of the horizon of a Kerr-like black hole can be developed by applying the antipodal boundary condition on the two opposite regions in the extended Penrose di...

(This article belongs to the Special Issue Quantum Field Theory in Curved Spacetime and Its Implications for Cosmology, Blackholes and Quantum Gravity)
  • Communication
  • Open Access
26 Citations
4,248 Views
13 Pages

20 August 2021

We study the capture cross-section of massless (photon) and massive test particles by the Schwarzschild–Tangherlini black hole, which is a solution of pure general relativity in higher dimensional spacetime with R×SD−2 topology. It is shown that an e...

(This article belongs to the Special Issue Waiting for GODOT—Present and Future of Multi-Messenger Astronomy)
  • Article
  • Open Access
31 Citations
10,715 Views
22 Pages

The concept of value co-creation brings about changes in tourists’ roles from value receivers to producers. Most existing studies take value co-creation behavior as a single dimension, ignoring the role switching of tourists. Starting from the precis...

(This article belongs to the Collection The New Era of Digital Marketing)
  • Article
  • Open Access
9 Citations
2,564 Views
21 Pages

27 December 2022

Grinding, which determines the final dimension of parts, is an important process in manufacturing companies. In praxis, in order to avoid quality problems on the customer’s side, an online dimension check is normally used after the grinding pro...

(This article belongs to the Special Issue Social Manufacturing on Industrial Internet)
  • Article
  • Open Access
21 Citations
5,083 Views
37 Pages

15 September 2020

Mass thresholds, lifetimes, entropy and heat capacity for micro black holes close to their late Schwarzschild phase are computed using two different generalized uncertainty principles, in the framework of models with extra spatial dimensions. Emissio...

(This article belongs to the Special Issue Recent Advances in Quantum Gravity)
  • Article
  • Open Access
37 Citations
6,590 Views
18 Pages

27 January 2020

Extra virgin olive oil sustainability shows that it is strictly connected to local production and certifications. However, consumers’ behaviour toward a local product is tied with the information exchange between producers and consumers. The ai...

(This article belongs to the Section Sustainable Food)
  • Article
  • Open Access
34 Citations
8,548 Views
14 Pages

12 August 2018

The purpose of this research was to create a framework of indicators that enabled us to measure the classic dimensions of sustainable development (SD): People, Planet, and Profit, in combination with the sustainability of the heritage values and the...

(This article belongs to the Special Issue Building Sustainability Assessment)
  • Article
  • Open Access
1 Citations
2,234 Views
19 Pages

27 March 2024

It has been known since the 1970’s that the difference of the non-zero weights of a projective Fq-linear two-weight code has to be a power of the characteristic of the underlying field. Here, we study non-projective two-weight codes and, e.g.,...

(This article belongs to the Special Issue Discrete Math in Coding Theory)
  • Article
  • Open Access
4 Citations
1,354 Views
10 Pages

Traversable Kaluza–Klein Wormholes?

  • Christopher Simmonds and
  • Matt Visser

17 October 2025

Various authors have suggested that Kaluza–Klein variants of traversable wormholes might to some extent ameliorate the defocussing properties (the curvature condition violations, and implied energy condition violations) inherent in positing the...

(This article belongs to the Special Issue Celebrating the 110th Anniversary of General Relativity: Advances, Challenges and Perspectives)
  • Abstract
  • Open Access
1,695 Views
1 Page

Firstly, a short reminder of the Kaluza-Klein programme and a review of the Coset Space Dimensional Reduction of higher dimensional gauge theories will be given. Then, the “fuzzy sphere” will be presented, as a representative example of a non-commuta...

(This article belongs to the Proceedings of The First International Conference on Symmetry)

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