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Observers and Splitting Structures in Relativistic Electrodynamics

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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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