Results 1 to 10 of about 3,520 (182)

Some New Algebraic and Topological Properties of the Minkowski Inverse in the Minkowski Space [PDF]

The Scientific World Journal, 2013
We introduce some new algebraic and topological properties of the Minkowski inverse A⊕ of an arbitrary matrix A∈Mm,n (including singular and rectangular) in a Minkowski space μ.
Hanifa Zekraoui, Zeyad Al-Zhour, Cenap Özel   +2 more
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Geometric analysis of non-degenerate shifted-knots Bézier surfaces in Minkowski space. [PDF]

PLoS ONE
In this paper, we investigate the properties of timelike and spacelike shifted-knots Bézier surfaces in Minkowski space-[Formula: see text]. These surfaces are commonly used in mathematical models for surface formation in computer science for computer ...
Sadia Bashir, Daud Ahmad
doaj   +2 more sources

Metric field as emergence of Hilbert space [PDF]

Scientific Reports
First, we explain some ambiguities of spacetime and metric field as fundamental concepts. Then, from the Unruh effect point of view and using the Gelfand–Naimark–Segal construction, we construct an operator as a quanta of acceleration that we call ...
Maysam Yousefian, Mehrdad Farhoudi
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Brownian Motion in Minkowski Space [PDF]

Entropy, 2015
We construct a model of Brownian motion in Minkowski space. There are two aspects of the problem. The first is to define a sequence of stopping times associated with the Brownian “kicks” or impulses.
Paul O'Hara, Lamberto Rondoni
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Hyperbolic vacua in Minkowski space

Journal of High Energy Physics
Families of Lorentz, but not Poincare, invariant vacua are constructed for a massless scalar field in 4D Minkowski space. These are generalizations of the Rindler vacuum with a larger symmetry group. Explicit expressions are given as squeezed excitations
Walker Melton, Filip Niewinski, Andrew Strominger, Tianli Wang   +3 more
doaj   +4 more sources

Black Holes have Intrinsic Scalar Curvature

Reports in Advances of Physical Sciences, 2023
The scalar curvature R is invariant under isometric symmetries (distance invariance) associated with metric spaces. Gravitational Riemannian manifolds are metric spaces.
P. D. Morley
doaj   +1 more source

The dual conformal box integral in Minkowski space

Nuclear Physics B, 2021
The dual conformal box integral in Minkowski space is not fully determined by the conformal invariants z and z¯. Depending on the kinematic region its value is on a ‘branch’ of the Bloch-Wigner function which occurs in the Euclidean case.
Luke Corcoran, Matthias Staudacher
doaj   +1 more source

Generalized Spacelike Normal Curves in Minkowski Three-Space

Mathematics, 2022
Equiform geometry is considered an extension of other geometries. Furthermore, an equiform frame is a generalization of the Frenet frame. In this study, we begin by defining the term “equiform parameter (EQP)”, “equiform frame”, and “equiform formulas ...
Yusra Tashkandy, Walid Emam, Clemente Cesarano, M. M. Abd El-Raouf, Ayman Elsharkawy   +4 more
doaj   +1 more source

On Characterizations of W-Directional Curves of Null Curves in Minkowski 4-Space

Süleyman Demirel Üniversitesi Fen-Edebiyat Fakültesi Fen Dergisi, 2022
In the present paper, we investigate the casual characterizations of W-directional curves of null curves in Minkowski 4-space. In section two, the basic concepts of curves with their Frenet equations in Minkowski 4-space are provided.
Arfah Arfah
doaj   +1 more source

Weak Minkowski spaces [PDF]

, 2014
We define the notion of weak Minkowski metric and prove some basic properties of such metrics. We also highlight some of the important analogies between Minkowski geometry and the Funk and Hilbert geometries.
Papadopoulos, Athanase, Troyanov, Marc
openaire   +2 more sources