Cecil, W5DXP wrote:
"That`s where you are wrong."

This argument has evoked plain statements, i.e., "When waves cease to
exist, they are forced to give up their intrinsic energy." And, "Waves
don`t cease to exist."

The statements need qualifications. Perhaps waves "cancel" without
ceasing to exist.

My speculation is that two radiated fields which cancel don`t eliminate
each other at all. They simply coincide out-of-phase, and their
resultant is zero along an azimuth where cancellation of their effect
continues. If we had a way to identify the vectors composing the zero
resultant, we could prove them there. Separate modulation might be
contrived to perform identification. The modulation idea comes from what
happens as a null azimuth in a MW BC radiation pattern is approached.
Carrier and sideband frequencies don`t cancel exactly together and it
sounds weird.

On wires, it`s different. Connect same-frequency energy exactly
out-of-phase, and you have a short circuit. In space, you don`t have an
electric current. You may have zero electrons. You have only fields
until you encounter a conductor.

Best regards, Richard Harrison, KB5WZI