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.
eBook - ePub
Space-Time Algebra of Sedeons
Electrodynamics, Hydrodynamics, Field Theory, and Quantum Mechanics
- English
- ePUB (mobile friendly)
- Available on iOS & Android
eBook - ePub
Space-Time Algebra of Sedeons
Electrodynamics, Hydrodynamics, Field Theory, and Quantum Mechanics
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Information
Subtopic
Functional AnalysisIndex
MathematicsTable of contents
- Title Page
- Copyright
- Contents
- Foreword
- 1âQuaternions, vectors, matrices
- 2âAlgebra of sedeons
- 3âSedeons in relativistic physics
- 4âEquations for electromagnetic field
- 5âEquations for weak gravitational field
- 6âFirst-order wave equation for massless field
- 7âSedeonic equations for fields with non-zero mass of quantum
- 8âSymmetric form of equations for massive and massless fields
- 9âEquations of relativistic quantum mechanics
- 10âSedeonic field equations for dyons
- 11âSedeonic equations of hydrodynamics
- 12âHydrodynamic model of plasma
- 13âHydrodynamic model of electron vortex fluid in solids
- 14âSedeonic generalization of telegraph equations
- Subject Index
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Yes, you can access Space-Time Algebra of Sedeons by Victor L. Mironov,Sergey V. Mironov in PDF and/or ePUB format, as well as other popular books in Mathematics & Functional Analysis. We have over 1.5 million books available in our catalogue for you to explore.