Relativistic Classical Mechanics and Electrodynamics (PDF) offers classical relativistic mechanics and electrodynamics in the Feynman-Stueckelberg event-oriented framework formalized by Piron and Horwitz.
The complete apparatus of classical analytical mechanics is generalized to relativistic form by swapping Galilean covariance with manifest Lorentz covariance and introducing a coordinate-independent parameter to play the part of Newton’s universal and monotonically advancing time. Fundamental physics is defined by the -evolution of a system point through an unrestrained 8D phase space, with a mass dynamical quantity conserved under particular interactions. Classical gauge invariance leads to electrodynamics obtained from five-dependent potentials described by 5D pre-Maxwell field equations.
Relativistic Classical Mechanics and Electrodynamics (Synthesis Lectures on Engineering, Science, and Technology)
Events trace out worldlines as progress monotonically, inducing pre-Maxwell fields by their motions, and moving under the impact of these fields. The dynamics are ruled canonically by a scalar Hamiltonian that generates the evolution of a 4D block universe defined at to an infinitesimally close 4D block universe defined at +. This electrodynamics, and its extension to curved space and non-Abelian gauge symmetry, is integrable and well-posed, offering a clear resolution to grandfather paradoxes. Cases include classical Coulomb scattering, electrostatics, plane waves, classical pair production, radiation from a simple antenna, classical CPT, and dynamical solutions in weak field gravitation. This classical framework will be of interest to workers in general relativity and quantum theory, in addition to those interested in the classical foundations of gauge theory.
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