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Right Conoids Demonstrating a Time-like Axis within Minkowski Four-Dimensional Space
MathematicsIn the four-dimensional Minkowski space, hypersurfaces classified as right conoids with a time-like axis are introduced and studied. The computation of matrices associated with the fundamental form, the Gauss map, and the shape operator specific to these
Yanlin Li, Erhan Güler
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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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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
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Darboux Vector in Four-Dimensional Space-Time
Advances in Mathematical Physics, 2022 As the space-time model of the theory of relativity, four-dimensional Minkowski space is the basis of the theoretical framework for the development of the theory of relativity.
Na Hu, Tingting Zhang, Yang Jiang
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Singularities of lightlike hypersurfaces in Minkowski four-space [PDF]
Tohoku Mathematical Journal, 2006 The authors classify the singularities of light-like hypersurfaces in Minkowski space, in terms of the contact invariants for space-like surfaces and lightcones. They use the Lorentzian distance-squared function on space-like surfaces and Montaldi's characterization of submanifolds contact in terms of \(\mathcal K\)-equivalence.
Izumiya, Shyuichi +3 more
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Role of time in implementation of innovative technologies [PDF]
MATEC Web of Conferences, 2021 Time is considered as production resource, which determines the need for its effective use in connection with other production resources. The problem consists in the inconsistency of the results of the existing forecasting system of production which are ...
Borovik Vitaly S. +3 more
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Massive spinning bosons on the celestial sphere
Journal of High Energy Physics, 2020 A natural extension of the Pasterski-Shao-Strominger (PSS) prescription is described, enabling the map of Minkowski space amplitudes with massive spinning external legs to the celestial sphere to be performed. An integral representation for the conformal
Y. T. Albert Law, Michael Zlotnikov
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Timelike rotational hypersurfaces with timelike axis in Minkowski four-space
Communications Faculty Of Science University of Ankara Series A1Mathematics and Statistics, 2023 We introduce the timelike rotational hypersurfaces $\textbf{x}$ with timelike axis in Minkowski 4-space $\mathbb{E}_1^{4}$. We obtain the equations for the curvatures of the hypersurface. Moreover, we present a theorem for the rotational hypersurfaces with timelike axis supplying $\Delta\textbf{x}=\mathcal{T}\textbf{x}$, where $\mathcal{T}$ is a 4x4 ...
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A new derivation of the Minkowski metric
Journal of Physics Communications, 2023 The four dimensional spacetime continuum, as first conceived by Minkowski, has become the dominant framework within which to describe physical laws.
James M Chappell +5 more
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Time as a geometric property of space
Frontiers in Physics, 2016 The proper description of time remains a key unsolved problem in science. Newton conceived of time as absolute and universal which it `flows equably without relation to anything external'}.
James Michael Chappell +4 more
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