Relativistic Classical Mechanics and Electrodynamics (Synthesis Lectures on Engineering, Science, and Technology, 1)
by Land, Martin; Horwitz, Lawrence P
- New
- Paperback
- Condition
- New
- ISBN 10
- 168173706X
- ISBN 13
- 9781681737065
- Seller
-
Kraków, Poland
Payment Methods Accepted
About This Item
Morgan & Claypool Publishers, 2019 8vo (23.5 cm), XI, 124 pp. Laminated wrappers. Synopsis: This book presents classical relativistic mechanics and electrodynamics in the Feynman-Stueckelberg event-oriented framework formalized by Horwitz and Piron. The full apparatus of classical analytical mechanics is generalized to relativistic form by replacing Galilean covariance with manifest Lorentz covariance and introducing a coordinate-independent parameter 𝜏 to play the role of Newton's universal and monotonically advancing time. Fundamental physics is described by the 𝜏-evolution of a system point through an unconstrained 8D phase space, with mass a dynamical quantity conserved under particular interactions. Classical gauge invariance leads to an electrodynamics derived from five 𝜏-dependent potentials described by 5D pre-Maxwell field equations. Events trace out worldlines as 𝜏 advances monotonically, inducing pre-Maxwell fields by their motions, and moving under the influence of these fields. The dynamics are governed canonically by a scalar Hamiltonian that generates evolution of a 4D block universe defined at 𝜏 to an infinitesimally close 4D block universe defined at 𝜏+𝑑𝜏. This electrodynamics, and its extension to curved space and non-Abelian gauge symmetry, is well-posed and integrable, providing a clear resolution to grandfather paradoxes. Examples include classical Coulomb scattering, electrostatics, plane waves, radiation from a simple antenna, classical pair production, classical CPT, and dynamical solutions in weak field gravitation. This classical framework will be of interest to workers in quantum theory and general relativity, as well as those interested in the classical foundations of gauge theory.
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Details
- Bookseller
- Leopolis Volodymyr Dmyterko (PL)
- Bookseller's Inventory #
- 008480
- Title
- Relativistic Classical Mechanics and Electrodynamics (Synthesis Lectures on Engineering, Science, and Technology, 1)
- Author
- Land, Martin; Horwitz, Lawrence P
- Format/Binding
- Soft cover
- Book Condition
- New
- Quantity Available
- 1
- Binding
- Paperback
- ISBN 10
- 168173706X
- ISBN 13
- 9781681737065
- Publisher
- Morgan & Claypool Publishers
- Date Published
- 2019
- Bookseller catalogs
- Mathematics;
Terms of Sale
Leopolis Volodymyr Dmyterko
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About the Seller
Leopolis Volodymyr Dmyterko
Biblio member since 2019
Kraków
About Leopolis Volodymyr Dmyterko
Specializing in mathematical sciences, Church Slavonic and Slavic books, Eastern European history, travels and topography, bibliography, history and art of the book, history of libraries and collections
Glossary
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- Wrappers
- The paper covering on the outside of a paperback. Also see the entry for pictorial wraps, color illustrated coverings for...