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Observers and Splitting Structures in Relativistic Electrodynamics

Observers and Splitting Structures in Relativistic Electrodynamics

Observers and Splitting Structures in Relativistic Electrodynamics

This PDF covers the following topics related to Observers and Splitting Structures in Relativistic Electrodynamics : Introduction, Pre-Metric Setting, Fiber bundles: world-lines in space-time,, Principal bundles: introducing time-translation, The fundamental field map: populating the principal bundle, Ehresmann connection: families of space platforms, Parametric fields: mapping fields to the observer’s space, Derivatives in the base manifold: Christoffel form, curvature, and variance, The relativistic splitting structure, Equivalent splitting structures: transitions between fiber charts, Electromagnetism in the pre-metric setting, Main concepts in their component representation, Metric Setting, Regular relativistic splittings, Vacuum constitutive relations and energy-momentum balance, Metric in nonregular splittings, Kinematic parameters of observers, Classification of observers and of splitting structures, Proxies for Lie-(co)algebra valued fields, Applications, Ehrenfest paradox, Schiff’s “Question in General Relativity”.

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s93 Pages
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