Results 21 to 30 of about 115,622 (258)

Conformal quantum mechanics of causal diamonds

open access: yesJournal of High Energy Physics, 2020
It is shown that a general radial conformal Killing vector in Minkowski space-time can be associated to a generator of time evolution in conformal quantum mechanics.
Michele Arzano
doaj   +1 more source

Introduction to Timelike Uniform B-splineCurves in Minkowski-3 Space

open access: yesJournal of Mathematical Sciences and Modelling, 2018
The intention of this article is to study on timelike uniform B-spline curves in Minkowski-3 space. In our paper, we take the control points of uniform B-spline curves as a timelike point in Minkowski-3 space.
Hatice Kuşak Samancı
doaj   +1 more source

Cosmology in Minkowski space

open access: yesClassical and Quantum Gravity, 2023
Abstract Theoretical and observational challenges to standard cosmology such as the cosmological constant problem and tensions between cosmological model parameters inferred from different observations motivate the development and search of new physics.
openaire   +2 more sources

Geometry of Simplices in Minkowski Spaces [PDF]

open access: yesResults in Mathematics, 2018
There are many problems and configurations in Euclidean geometry that were never extended to the framework of (normed or) finite dimensional real Banach spaces, although their original versions are inspiring for this type of generalization, and the analogous definitions for normed spaces represent a promising topic.
Horst Martini, Undine Leopold
openaire   +3 more sources

Some Remarks on Harmonic Functions in Minkowski Spaces

open access: yesMathematics, 2019
We prove that in Minkowski spaces, a harmonic function does not necessarily satisfy the mean value formula. Conversely, we also show that a function satisfying the mean value formula is not necessarily a harmonic function.
Songting Yin
doaj   +1 more source

A New Angular Measurement in Minkowski 3-Space

open access: yesMathematics, 2020
In Lorentz−Minkowski space, the angles between any two non-null vectors have been defined in the sense of the angles in Euclidean space. In this work, the angles relating to lightlike vectors are characterized by the Frenet frame of a pseudo null ...
Jinhua Qian   +3 more
doaj   +1 more source

Null Darboux Curve Pairs in Minkowski 3-Space

open access: yesAxioms, 2021
Based on the fundamental theories of null curves in Minkowski 3-space, the null Darboux mate curves of a null curve are defined which can be regarded as a kind of extension for Bertrand curves and Mannheim curves in Minkowski 3-space.
Jinhua Qian   +3 more
doaj   +1 more source

On the Weyl Problem in Minkowski Space [PDF]

open access: yesInternational Mathematics Research Notices, 2021
Abstract Let $S$ be a closed surface of hyperbolic type. We show that, for every pair $(g_+,g_-)$ of negatively curved metrics over $S$, there exists a unique globally hyperbolic, maximal, and Cauchy compact Minkowski spacetime $X$ into which $(S,g_+)$ and $(S,g_-)$ isometrically embed as Cauchy surfaces in the future and past components,
openaire   +3 more sources

On the Reality of Minkowski Space [PDF]

open access: yesFoundations of Physics, 2007
Should physicists deal with the question of the reality of Minkowski space (or any relativistic spacetime)? It is argued that they should since this is a question about the dimensionality of the world at the macroscopic level and it is physics that should answer it.
openaire   +3 more sources

Evolutoids and pedaloids of frontals on timelike surfaces

open access: yesOpen 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   +3 more
doaj   +1 more source

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