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Conformal quantum mechanics of causal diamonds
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
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Introduction to Timelike Uniform B-splineCurves in Minkowski-3 Space
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
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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.
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Geometry of Simplices in Minkowski Spaces [PDF]
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
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Some Remarks on Harmonic Functions in Minkowski Spaces
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
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A New Angular Measurement in Minkowski 3-Space
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
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Null Darboux Curve Pairs in Minkowski 3-Space
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
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On the Weyl Problem in Minkowski Space [PDF]
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,
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On the Reality of Minkowski Space [PDF]
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.
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Evolutoids and pedaloids of frontals on timelike surfaces
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
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