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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 +2 more
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Conull Hypersurfaces in Minkowski Space [PDF]
Proceedings of the American Mathematical Society, 1982 A submanifold of M = Gr(2, C 4 ) {\mathbf {M}} = {\text {Gr(2,}}{{\mathbf {C}}^4}{\text {)}} is conull when its conormal space is in ...
Norman Goldstein
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Geometric analysis of non-degenerate shifted-knots Bézier surfaces in Minkowski space. [PDF]
PLoS ONEIn 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
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Conformal invariants of Minkowski space [PDF]
Proceedings of the American Mathematical Society, 1985 The conformal invariant defined for compact Riemannian manifolds by Yamabe is generalized to pseudo-Riemannian manifolds and is shown to be nontrivial for Minkowski space. We also make some elementary remarks about generalizations of Yamabe’s equation to sections of vector bundles, as have been studied by physicists concerned with Goldstone bosons and ...
Jack Morava
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Quadratic deformation of Minkowski space [PDF]
Fortschritte der Physik, 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
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Metric field as emergence of Hilbert space [PDF]
Scientific ReportsFirst, 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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Quark propagator in Minkowski space [PDF]
Few-Body Systems, 2019 The analytic structure of the quark propagator in Minkowski space is more complex than in Euclidean space due to the possible existence of poles and branch cuts at timelike momenta.
Costa, C. S. R. +3 more
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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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Further characterizations and representations of the Minkowski inverse in Minkowski space
AIMS Mathematics, 2023 This paper serves to identify some new characterizations and representations of the Minkowski inverse in Minkowski space. First of all, a few representations of $ \{1, 3^{\mathfrak{m}}\} $-, $ \{1, 2, 3^{\mathfrak{m}}\} $-, $ \{1, 4^{\mathfrak{m ...
Jiale Gao +3 more
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ON THE REDUCTION OF MINKOWSKI SPACE [PDF]
Hokkaido Mathematical Journal, 1958 Takeshi Sumitomo
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