I've been reading through (and listening to) a collection of lectures form Richard Feynman's Lectures on Physics. In lecture #2, titled "Basic Physics", he makes the following statement:
Although the forces between two charged objects should go inversely as the square of the distance, it is found, when we shake a charge, that the influence extends very much farther out than we would guess at first sight. That is, the effect falls off more slowly than the inverse square.
This statement is in the context of a discussion of the attraction between objects with opposite [static] electrical charges. I am aware of the inverse square law as it applies to static electrical fields, but I was under the impression that the inverse square law also describes oscillating electrical fields, that is, electromagnetic radiation.
Assuming a simple point-source omnidirectional EM radiator, the amplitude of the outwardly propagating EM field (a.k.a. EM "wave") should also fall off according to inverse square law in free three-dimensional space, correct?
Thus, I do not understand his statement "the effect falls off more slowly than the inverse square". Did Fenyman simply misspeak or am I missing something (perhaps embarrassingly obvious) here?
The full text of the lecture in question can be found here. You can search for the phrase "more slowly than the inverse square" if you'd like to see the immediate context.