Wave Theory of Classical Electromagnetism

Where does the energy for Ohmic heat come from? Feynman says it comes from space! Engineers (and Drude) will say it comes through the wire. In my new video lecture I show that the engineers are right and electromagnetic gauge invariance can be abandoned.

Skip from 7:00 to 12:17 if you don't like formulas.

00:00 Introduction
00:15 The Gauge Principle
01:26 Maxwell's Equations and the Lorenz Gauge
03:06 The Arbitrary Gauge Scalar
03:30 Transition to Wave theory
07:00 Derivation of Energy, Momentum, Spin and Force
12:17 Comparing Wave Theory and Gauge Theory
14:36 Example: Electrostatic Energy
16:03 Example: The Lorentz Force
18:10 Example: Current Carrying Wire and Poynting Vector
20:25 Example: The Thomson Paradox
21:19 Example: Feynman's Spinning Disk
22:28 Example: Electromagnetic Spin
25:12 Wave or Gauge Theory: Conclusion