Results 1 to 10 of about 227 (87)
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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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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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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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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Fractal Information by Means of Harmonic Mappings and Some Physical Implications
Entropy, 2016 Considering that the motions of the complex system structural units take place on continuous, but non-differentiable curves, in the frame of the extended scale relativity model (in its Schrödinger-type variant), it is proven that the imaginary part of a ...
Maricel Agop +6 more
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Volumes of Polyhedra in Non-Euclidean Spaces of Constant Curvature
Современная математика: Фундаментальные направления, 2020 Computation of the volumes of polyhedra is a classical geometry problem known since ancient mathematics and preserving its importance until present time.
V. A. Krasnov
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Universe, 2018 The non-Euclidean geometry created by Bolyai, Lobachevsky and Gauss has led to a new physical theory—general relativity. In due turn, a correct mathematical treatment of the cosmological problem in general relativity has led Friedmann to a discovery of ...
Vladimir Soloviev
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GENERIC COORDINATE SYSTEMS IN THE COMPUTER GEOMETRY COURSE
Современные информационные технологии и IT-образование, 2018 The article presents an approach to describe generic coordinate systems as a part of the course “Computer Geometry and Geometric Modeling”, which is taught to third-year students majoring in mathematics at the Lobachevsky State University of Nizhni ...
Evgeny M. Makarov
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UniverseThis Special Issue, The 13th Bolyai–Gauss–Lobachevsky Conference on Non-Euclidean Geometry and Its Applications, brings together seven peer-reviewed contributions originating from presentations delivered at the 13th Bolyai–Gauss–Lobachevsky (BGL2025 ...
Tiberiu Harko +3 more
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