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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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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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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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The equivariant Minkowski problem in Minkowski space [PDF]
Annales de l'Institut Fourier, 2017 The classical Minkowski problem in Minkowski space asks, for a positive function $\phi$ on $\mathbb{H}^d$, for a convex set $K$ in Minkowski space with $C^2$ space-like boundary $S$, such that $\phi(\eta)^{-1}$ is the Gauss--Kronecker curvature at the ...
Bonsante, Francesco +1 more
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Hyperbolic vacua in Minkowski space
Journal of High Energy PhysicsFamilies 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 +3 more
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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
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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
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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 +4 more
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