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205 Results Found

  • Entry
  • Open Access

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...

  • Article
  • Open Access
9 Citations
4,651 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
6 Citations
3,083 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...

  • Article
  • Open Access
2 Citations
2,368 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...

  • Article
  • Open Access
1 Citations
2,279 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...

  • Article
  • Open Access
1,155 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...

  • Article
  • Open Access
3,139 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 E8E8 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...

  • Article
  • Open Access
6 Citations
4,118 Views
10 Pages

We discuss a possible scale of gravitational origin at around 10 MeV, or 1012 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...

  • Article
  • Open Access
5 Citations
3,359 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...

  • Feature Paper
  • Review
  • Open Access
5 Citations
3,357 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...

  • Article
  • Open Access
11 Citations
3,991 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...

  • Feature Paper
  • Article
  • Open Access
3 Citations
4,088 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...

  • Article
  • Open Access
1,098 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...

  • Review
  • Open Access
4 Citations
2,661 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,...

  • Review
  • Open Access
3 Citations
4,350 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...

  • Review
  • Open Access
1 Citations
4,060 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...

  • Article
  • Open Access
21 Citations
10,351 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...

  • Article
  • Open Access
1,116 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...

  • Article
  • Open Access
3,322 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,...

  • Article
  • Open Access
8 Citations
1,796 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...

  • Article
  • Open Access
7 Citations
2,863 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...

  • Article
  • Open Access
3 Citations
1,018 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...

  • Communication
  • Open Access
949 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
3 Citations
1,033 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...

  • Article
  • Open Access
373 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...

  • Article
  • Open Access
358 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’...

  • Review
  • Open Access
3 Citations
1,536 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...

  • Article
  • Open Access
17 Citations
3,111 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...

  • Article
  • Open Access
4 Citations
2,572 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)....

  • Article
  • Open Access
7 Citations
4,979 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...

  • Article
  • Open Access
649 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
7,033 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
3 Citations
3,064 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...

  • Communication
  • Open Access
23 Citations
3,594 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×SD2 topology. It is shown that an e...

  • Article
  • Open Access
23 Citations
9,413 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...

  • Article
  • Open Access
9 Citations
2,249 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...

  • Article
  • Open Access
32 Citations
7,515 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...

  • Article
  • Open Access
35 Citations
6,125 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...

  • Article
  • Open Access
1 Citations
869 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...

  • Abstract
  • Open Access
1,594 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...

  • Article
  • Open Access
12 Citations
5,205 Views
15 Pages

Static Einstein–Maxwell Magnetic Solitons and Black Holes in an Odd Dimensional AdS Spacetime

  • Jose Luis Blázquez-Salcedo,
  • Jutta Kunz,
  • Francisco Navarro-Lérida and
  • Eugen Radu

8 December 2016

We construct a new class of Einstein–Maxwell static solutions with a magnetic field in D-dimensions (with D 5 an odd number), approaching at infinity a globally Anti-de Sitter (AdS) spacetime. In addition to the mass, the new solutions poss...

  • Article
  • Open Access
594 Views
16 Pages

More Diagonal Distributions of Coexisting Attractors

  • Menghui Shen,
  • Chunbiao Li,
  • Lili Wang,
  • Yishi Xue and
  • Xiaolong Qi

15 August 2025

When periodic and other piecewise linear functions are introduced in a chaotic system with two-dimensional offset boosting for extra feedback, more patterns of diagonal distribution from coexisting attractors can be organized. In this study, the peri...

  • Article
  • Open Access
3,506 Views
8 Pages

20 September 2017

Lattices of topological defects, such as Abrikosov lattices and domain wall lattices, often arise as metastable ground states in higher-dimensional field theoretical models. We demonstrate that such lattice states may be described as extra-dimensiona...

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