Minkowski Space from Quantum Mechanics
AbstractPenrose’s Spin Geometry Theorem is extended further, from SU(2) and E(3) (Euclidean) to E(1, 3) (Poincaré) invariant elementary quantum mechanical systems. The Lorentzian spatial distance between any two non-parallel timelike straight lines of Minkowski space, considered to be the centre-of-mass world lines of E(1, 3)-invariant elementary ...
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Christoffel and Minkowski problems in Minkowski space
For convex sets in the Lorentzian Minkowski space bounded by space-like hyperplanes, it is possible to define area measures, similarly to the classical definition for convex bodies in the Euclidean space. Here the measures are defined on the hyperbolic space rather than on the round sphere.
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Orthogonality in Generalized Minkowski Spaces
We combine functional analytic and geometric viewpoints on approximate Birkhoff and isosceles orthogonality in generalized Minkowski spaces which are finite-dimensional vector spaces equipped with a gauge. This is the first approach to orthogonality types in such spaces.
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The Global Nonlinear Stability of Minkowski Space for the Massless Einstein-Vlasov System. [PDF]
Taylor M.
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Celestial holography revisited. Part II. Correlators and Källén-Lehmann
In this work we continue the investigation of the extrapolate dictionary for celestial holography recently proposed in [1], at both the perturbative and non-perturbative level.
Lorenzo Iacobacci +2 more
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Integrable system of null curve and Betchov-Da Rios equation
This study focuses on the time evolution of a null curve using a new frame and a new transformation in Minkowski 3-space. Accordingly, Landau–Lifshitz and coupled Boussinesq-like equations for the null curve are provided in terms of the new ...
Yoon Dae Won
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Secure and robust transmission and verification of unknown quantum states in Minkowski space. [PDF]
Kent A, Massar S, Silman J.
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Exploring q-Bernstein-Bézier surfaces in Minkowski space: Analysis, modeling, and applications. [PDF]
Bashir S, Ahmad D, Ali G.
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Experimental model of topological defects in Minkowski space-time based on disordered ferrofluid: magnetic monopoles, cosmic strings and the space-time cloak. [PDF]
Smolyaninov II +2 more
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Diffusion on $\kappa$-Minkowski space
We study the spectral dimension associated with diffusion processes on Euclidean $\kappa$-Minkowski space. We start by describing a geometric construction of the "Euclidean" momentum group manifold related to $\kappa$-Minkowski space. On such space we identify various candidate Laplacian functions, i.e.
Arzano, Michele, Trześniewski, Tomasz
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