Results 31 to 40 of about 115,417 (208)

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

open access: yesCumhuriyet 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  

Fuzzy de Sitter Space from kappa-Minkowski Space in Matrix Basis [PDF]

open access: yes, 2019
We consider the Lie group $\mathbb{R}^D_\kappa$ generated by the Lie algebra of $\kappa$-Minkowski space. Imposing the invariance of the metric under the pull-back of diffeomorphisms induced by right translations in the group, we show that a unique right
Gelfand M., Lizzi F., Vilenkin N. Ja.
core   +2 more sources

Conformal Symmetry and Supersymmetry in Rindler Space

open access: yesUniverse, 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

open access: yesPhysical 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   +2 more
doaj   +1 more source

The Real Meaning of Complex Minkowski-Space World-Lines

open access: yes, 2009
In connection with the study of shear-free null geodesics in Minkowski space, we investigate the real geometric effects in real Minkowski space that are induced by and associated with complex world-lines in complex Minkowski space.
Adamo T M   +9 more
core   +1 more source

Structure of potentials with $N$ Higgs doublets [PDF]

open access: yes, 2007
Extensions of the Standard Model with $N$ Higgs doublets are simple extensions presenting a rich mathematical structure. An underlying Minkowski structure emerges from the study of both variable space and parameter space.
A. Das   +3 more
core   +2 more sources

Fuchsian convex bodies: basics of Brunn--Minkowski theory

open access: yes, 2012
The hyperbolic space $ \H^d$ can be defined as a pseudo-sphere in the $(d+1)$ Minkowski space-time. In this paper, a Fuchsian group $\Gamma$ is a group of linear isometries of the Minkowski space such that $\H^d/\Gamma$ is a compact manifold.
B. Maskit   +25 more
core   +2 more sources

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

open access: yesJournal 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

Invariance of the normalized Minkowski content with respect to the ambient space

open access: yes, 2012
It is easy to show that the lower and the upper box dimensions of a bounded set in Euclidean space are invariant with respect to the ambient space. In this article we show that the Minkowski content of a Minkowski measurable set is also invariant with ...
Boros   +18 more
core   +1 more source

Quadratic deformation of Minkowski space [PDF]

open access: yes, 2012
We present a deformation of the Minkowski space as embedded into the conformal space (in the formalism of twistors) based in the quantum versions of the corresponding kinematic groups.
Cervantes, D.   +3 more
core   +2 more sources

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