000 04001nam a22005415i 4500
001 978-3-031-02079-7
003 DE-He213
005 20240730164116.0
007 cr nn 008mamaa
008 220601s2020 sz | s |||| 0|eng d
020 _a9783031020797
_9978-3-031-02079-7
024 7 _a10.1007/978-3-031-02079-7
_2doi
050 4 _aTA174
072 7 _aTBD
_2bicssc
072 7 _aTEC016000
_2bisacsh
072 7 _aTBD
_2thema
082 0 4 _a620.0042
_223
100 1 _aLand, Martin.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
_982173
245 1 0 _aRelativistic Classical Mechanics and Electrodynamics
_h[electronic resource] /
_cby Martin Land, Lawrence P. Horwitz.
250 _a1st ed. 2020.
264 1 _aCham :
_bSpringer International Publishing :
_bImprint: Springer,
_c2020.
300 _aXI, 124 p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aSynthesis Lectures on Engineering, Science, and Technology,
_x2690-0327
505 0 _aPreface -- Symbols -- Conceptual Approaches to Spacetime -- Canonical Relativistic Mechanics -- Classical Electrodynamics -- Problems in Electrostatics and Electrodynamics -- Advanced Topics -- Authors' Biographies.
520 _aThis 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 ���� to play the role of Newton's universal and monotonically advancing time. Fundamental physics is described by the ����-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 ����-dependent potentials described by 5D pre-Maxwell field equations. Events trace out worldlines as ���� 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 ���� to an infinitesimally close 4D block universe defined at ����+��������. 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.
650 0 _aEngineering design.
_93802
650 0 _aMaterials.
_97549
650 0 _aProfessional education.
_941513
650 0 _aVocational education.
_941514
650 1 4 _aEngineering Design.
_93802
650 2 4 _aMaterials Engineering.
_932311
650 2 4 _aProfessional and Vocational Education.
_941516
700 1 _aHorwitz, Lawrence P.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
_982174
710 2 _aSpringerLink (Online service)
_982175
773 0 _tSpringer Nature eBook
776 0 8 _iPrinted edition:
_z9783031001512
776 0 8 _iPrinted edition:
_z9783031009518
776 0 8 _iPrinted edition:
_z9783031032073
830 0 _aSynthesis Lectures on Engineering, Science, and Technology,
_x2690-0327
_982176
856 4 0 _uhttps://doi.org/10.1007/978-3-031-02079-7
912 _aZDB-2-SXSC
942 _cEBK
999 _c85309
_d85309