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Space-Time Algebra of Sedeons
Electrodynamics, Hydrodynamics, Field Theory, and Quantum Mechanics
Buch von Victor L. Mironov (u. a.)
Sprache: Englisch

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Beschreibung
This book is a comprehensive guide to the space-time algebra of sixteen-component values "sedeons". This algebra is designed to provide a compact representation of equations that describe various physical systems. The book considers the symmetry of physical quantities concerning the operations of spatial and temporal inversion. This approach allows the formulation of a wide class of mathematical physics equations within a unified framework and enables the generalization of these equations for essential problems in electrodynamics, hydrodynamics, plasma physics, field theory, and quantum mechanics. In particular, it is shown that the broken symmetry between electricity and magnetism in electrodynamics equations is a result of choosing an asymmetric representation of these phenomena. The sedeonic algebra enables the formulation of Maxwell-like equations for the fields with a nonzero mass of quantum, which facilitates the calculation of energy for baryon-baryon interaction and the semi-classical interpretation of this interaction. It also allows one to generalize the hydrodynamics equations for the case of vortex turbulent flows and for a hydrodynamic two-fluid model of electron-ion plasma.
This book is a comprehensive guide to the space-time algebra of sixteen-component values "sedeons". This algebra is designed to provide a compact representation of equations that describe various physical systems. The book considers the symmetry of physical quantities concerning the operations of spatial and temporal inversion. This approach allows the formulation of a wide class of mathematical physics equations within a unified framework and enables the generalization of these equations for essential problems in electrodynamics, hydrodynamics, plasma physics, field theory, and quantum mechanics. In particular, it is shown that the broken symmetry between electricity and magnetism in electrodynamics equations is a result of choosing an asymmetric representation of these phenomena. The sedeonic algebra enables the formulation of Maxwell-like equations for the fields with a nonzero mass of quantum, which facilitates the calculation of energy for baryon-baryon interaction and the semi-classical interpretation of this interaction. It also allows one to generalize the hydrodynamics equations for the case of vortex turbulent flows and for a hydrodynamic two-fluid model of electron-ion plasma.
Details
Erscheinungsjahr: 2025
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Buch
Inhalt: XIV
198 S.
4 s/w Illustr.
40 farbige Illustr.
8 s/w Tab.
4 b/w and 40 col. ill.
8 b/w tbl.
ISBN-13: 9783111625171
ISBN-10: 3111625176
Sprache: Englisch
Autor: Mironov, Victor L.
Mironov, Sergey V.
Hersteller: De Gruyter
Verantwortliche Person für die EU: Walter de Gruyter GmbH, De Gruyter GmbH, Genthiner Str. 13, D-10785 Berlin, productsafety@degruyterbrill.com
Abbildungen: 4 b/w and 40 col. ill., 8 b/w tbl.
Maße: 17 x 176 x 243 mm
Von/Mit: Victor L. Mironov (u. a.)
Erscheinungsdatum: 31.03.2025
Gewicht: 0,48 kg
Artikel-ID: 131840416
Details
Erscheinungsjahr: 2025
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Buch
Inhalt: XIV
198 S.
4 s/w Illustr.
40 farbige Illustr.
8 s/w Tab.
4 b/w and 40 col. ill.
8 b/w tbl.
ISBN-13: 9783111625171
ISBN-10: 3111625176
Sprache: Englisch
Autor: Mironov, Victor L.
Mironov, Sergey V.
Hersteller: De Gruyter
Verantwortliche Person für die EU: Walter de Gruyter GmbH, De Gruyter GmbH, Genthiner Str. 13, D-10785 Berlin, productsafety@degruyterbrill.com
Abbildungen: 4 b/w and 40 col. ill., 8 b/w tbl.
Maße: 17 x 176 x 243 mm
Von/Mit: Victor L. Mironov (u. a.)
Erscheinungsdatum: 31.03.2025
Gewicht: 0,48 kg
Artikel-ID: 131840416
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