Results 1 to 10 of about 266 (117)
Toward Interactions through Information in a Multifractal Paradigm [PDF]
Entropy, 2020 In a multifractal paradigm of motion, Shannon’s information functionality of a minimization principle induces multifractal–type Newtonian behaviors. The analysis of these behaviors through motion geodesics shows the fact that the center of the Newtonian ...
Maricel Agop +5 more
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Lobachevsky geometry of (super)conformal mechanics [PDF]
Physics Letters, Section A: General, Atomic and Solid State Physics, 2009 5 ...
Armen Nersessian, Tigran Hakobyan
exaly +4 more sources
János Bolyai, Carl Friedrich Gauss, Nikolai Lobachevsky and the New Geometry: Foreword
Symmetry, 2023 Nearly 2300 years ago, the Greek mathematician Euclid of Alexandria laid down the basis of the geometry now known from the textbooks and used in everyday life [...]
László Jenkovszky +2 more
exaly +3 more sources
Springer Optimization and Its Applications, 2012 In this chapter, dedicated to the 60th Anniversary of Themistocles M. Rassias, Möbius transformation and Einstein velocity addition meet in the hyperbolic geometry of Bolyai and Lobachevsky. It turns out that Möbius addition that is extracted from Möbius transformation of the complex disc and Einstein addition from his special theory of relativity are ...
Ungar Abraham Albert +1 more
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Analytic embedding of pseudo-Helmholtz geometry [PDF]
Известия Саратовского университета. Новая серия: Математика. Механика. Информатика, 2021 For modern geometry, the study of maximal mobility geometries is of great importance. Some of these geometries are well studied (Euclidean, pseudo-Euclidean, symplectic, spherical, Lobachevsky, etc.), and others are poorly understood (Helmholtz, pseudo ...
Kyrov, Vladimir A.
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Rectangles in Lobachevsky Geometry [PDF]
Interactive science, 2020 If we replace the V Postulate of Euclid with the Postulate of Lobachevsky, then we can get rectangles with more than 4 angles. The article describes the methodology for constructing such rectangles.
Vladimir Dmitrievich Chemeris +1 more
openaire +1 more source
Poincaré and Cosmic Space: Curved or not?
Philosophia Scientiæ, 2023 By 1870, non-Euclidean geometry had been established as a mathematical research field but was yet to be considered relevant to the real space inhabited by stars and nebulae.
Helge Kragh
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The ideas of A.M. Baldin on overcoming the reductionism principle in relativistic physics [PDF]
EPJ Web of Conferences, 2019 The reductionism principle and the role of the Standard Model in the general paradigm of modern physics are discussed. The structure of the laws of nature is considered based on the idea of symmetry.
Baldin Anton A.
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Lobachevsky geometry in TTW and PW systems [PDF]
Physics of Atomic Nuclei, 2017 9 pages, misprint corrected, reference added. To appear in the Proceedings of the IX Symposium on Quantum Theory and Symmetries (QTS-9), July 13-18, 2015 ...
Hakobyan, Tigran +2 more
openaire +2 more sources
Analytic Embedding of Geometries of Constant Curvature on a Pseudosphere [PDF]
Известия Саратовского университета. Новая серия: Математика. Механика. Информатика, 2019 In mathematical studies, the geometries of maximum mobility are important. Examples of such geometries are Euclidean, pseudo-Euclidean, Lobachevsky, symplectic and so on. There is no complete classification of such geometries.
Vladimir A. Kyrov
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