Read · Special relativity: from clock operations to electrodynamics · Results

§6 · field equations and field components

Follow the introduction and all ten sections, including field transformations, finite light complexes, moving mirrors, charge-current transformations, and the electron-force conventions.

Newly authored explanatory preview in modern notation, with editorial and physics review pending. Both the kinematic and electrodynamic halves are treated, but this is not a German transcription, an aligned translation, or a complete critical edition. The source paragraphs, footnotes, acknowledgment, and date-lines are not claimed to be fully represented or reviewed here. Headings and argument units are editorial.

Transform derivatives before naming fields

The chain rule mixes time and longitudinal derivatives. Grouping the resulting terms suggests transformed electric and magnetic components; covariance alone is not a uniqueness proof of their physical identification.

Electric and magnetic components mix together

For a boost along x, longitudinal field components stay unchanged and transverse electric and magnetic components mix. Transforming the force consistently does not require equal raw force values in both frames.