Space-Time Algebra of Sedeons
eBook - ePub

Space-Time Algebra of Sedeons

Electrodynamics, Hydrodynamics, Field Theory, and Quantum Mechanics

  1. English
  2. ePUB (mobile friendly)
  3. Available on iOS & Android
eBook - ePub

Space-Time Algebra of Sedeons

Electrodynamics, Hydrodynamics, Field Theory, and Quantum Mechanics

About this book

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.

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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 one million books available in our catalogue for you to explore.

Information

Publisher
De Gruyter
Year
2025
eBook ISBN
9783111625249
Edition
0

Table of contents

  1. Title Page
  2. Copyright
  3. Contents
  4. Foreword
  5. 1 Quaternions, vectors, matrices
  6. 2 Algebra of sedeons
  7. 3 Sedeons in relativistic physics
  8. 4 Equations for electromagnetic field
  9. 5 Equations for weak gravitational field
  10. 6 First-order wave equation for massless field
  11. 7 Sedeonic equations for fields with non-zero mass of quantum
  12. 8 Symmetric form of equations for massive and massless fields
  13. 9 Equations of relativistic quantum mechanics
  14. 10 Sedeonic field equations for dyons
  15. 11 Sedeonic equations of hydrodynamics
  16. 12 Hydrodynamic model of plasma
  17. 13 Hydrodynamic model of electron vortex fluid in solids
  18. 14 Sedeonic generalization of telegraph equations
  19. Subject Index