The pedagogical value of the four-dimensional picture II: Another way of looking at the electromagnetic field

Abstract

The concept of electromagnetic field can be neatly formulated by recognizing that the simplest form of the four-force is indeed feasible. We show that Maxwell's equations almost entirely stem from the properties of spacetime, notably from the fact that our world has dimension d = 4. Their complete reconstruction requires three additional assumptions which are seemingly divorced from geometry, but, actually, may have much to do with the spacetime properties.

arXiv comment10 pages

References in corpus (4)

• Exact Solutions of Classical Electrodynamics and the Yang--Mills--Wong Theory in Even-Dimensional Spacetime
• Feynman's derivation of Maxwell equations and extra dimensions
• Obtaining Maxwell's equations heuristically
• The pedagogical value of the four-dimensional picture I: Relativistic mechanics of point particles

Cited by in corpus (4)

• Updating Maxwell with Electrons, Charge, and More Realistic Polarization
• Electrodynamics Correlates Knock-on and Knock-off: Current is Spatially Uniform in Ion Channels
• Kirchhoff's Law Can Be Exact
• The pedagogical value of the four-dimensional picture III: Solutions to Maxwell's equations