Results 21 to 30 of about 3,520 (182)

Renormalization in Minkowski space–time [PDF]

International Journal of Modern Physics A, 2021
The multiplicative and the functional renormalization group methods are applied for the four-dimensional scalar theory in Minkowski space–time. It is argued that the appropriate choice of the subtraction point is more important in Minkowski than in Euclidean space–time.
Steib, I., Nagy, S., Polonyi, J.
openaire   +3 more sources

Evolutoids and pedaloids of frontals on timelike surfaces

Open Mathematics, 2023
In this article, we define evolutoids and pedaloids of frontals on timelike surfaces in Minkowski 3-space. The evolutoids of frontals on timelike surfaces are not only the generalization of evolutoids of curves in the Minkowski plane but also the ...
Wang Yongqiao, Yang Lin, Chang Yuan, Liu Haiming   +3 more
doaj   +1 more source

The Geometry of Bezier Curves in Minkowski 3−Space

Universal Journal of Mathematics and Applications, 2023
The scope of this paper is to look at some aspects of the differential geometry of Bezier curves in Minkowski space. For that purpose, we firstly introduce Frenet Bezier curve in Minkowski 3-space.
Ayşe Yılmaz Ceylan
doaj   +1 more source

Fractal Anatomy of Human Organs: A Narrative Review of Structure, Function, and Clinical Perspectives. [PDF]

Clin Anat
ABSTRACT Fractal geometry describes complex, self‐similar patterns that repeat across spatial scales and is increasingly recognized as relevant in anatomical research. Indeed, the fractal organization is consistently observed in respiratory, cardiovascular, gastrointestinal, nervous, renal, hepatic, and dermatological systems.
Belviso I, Branca JJV, Guarnieri G, Morelli A, Pacini A, Posta DD, Ribatti D, Paternostro F.   +7 more
europepmc   +2 more sources

On Evolutes of Null Cartan Curves in Minkowski 4-Space

Journal of New Theory, 2021
This paper aims to discuss the theory of evolutes of null Cartan curves in Minkowski 4-space. In the second part, we present the basic concepts of curves in Minkowski 4-space with its Frenet equations.
Arfah Arfah
doaj  

Darboux Vector in Four-Dimensional Space-Time

Advances in Mathematical Physics, 2022
As the space-time model of the theory of relativity, four-dimensional Minkowski space is the basis of the theoretical framework for the development of the theory of relativity.
Na Hu, Tingting Zhang, Yang Jiang
doaj   +1 more source

Special helices on equiform differential geometry of timelike curves in E_1^4

Cumhuriyet Science Journal, 2021
In this paper, we introduce the moving Frenet frame along the timelike curve in E_1^4 and then Frenet formulas with the equiform parameter in the equiform geometry of the Minkowski space-time.
Fatma Bulut
doaj  

Conformal Symmetry and Supersymmetry in Rindler Space

Universe, 2020
This paper addresses the fate of extended space-time symmetries, in particular conformal symmetry and supersymmetry, in two-dimensional Rindler space-time appropriate to a uniformly accelerated non-inertial frame in flat 1+1-dimensional space-time ...
Jan-Willem van Holten
doaj   +1 more source

Entanglement in Unruh, Hawking, and Cherenkov radiation from a quantum optical perspective

Physical Review Research, 2022
Free quantum field theory in flat space-time is often believed to be well established, holding no surprises. We hope, by the end of this paper, to have demonstrated that surprises still exist.
Marlan O. Scully, Anatoly Svidzinsky, William Unruh   +2 more
doaj   +1 more source

Vacuum thermal effects in flat space-time from conformal quantum mechanics

Journal of High Energy Physics, 2021
The generators of radial conformal symmetries in Minkowski space-time can be mapped to the generators of time evolution in conformal quantum mechanics.
Michele Arzano
doaj   +1 more source