You still don't understand RP propagation. Having an antenna receive a signal does not diminish the strength of the signal behind it any more than a metal light pole diminishes it. Both will cause a slight disturbance in the transmitted signal, but the rest of the signal will still continue past it. You can't calculate how many devices are receiving an RF signal by measuring field strength at a fixed distance.
Think of throwing a pebble into a pond and watching the waves travel outward. If you put a stick in the water, it will disrupt the wave slightly, but the rest of the wave continues radiating outward. The small amount of energy that the stick receives is so miniscule compared to the total circular wave, it can be thought of as zero. (Well, if the stick is 10 feet away from the source it intersects a circle more than 60 feet in circumference. A one-inch stick would disrupt 1/750th of the circle. 20 feet away? 1/1500th of the total circumference.) Plus, RF propagates in three dimensions, not just two.
And your proof? You suggest putting enough barriers around the transmitting antenna to capture all the radiated energy to gain back more than you started with. First, you would never effectively capture it all, unless you built a Fariday Cage around the transmitter. Plus you ignore the power loss in converting the RF power back to electricity. You can't prove your point by suggesting if you are wrong we would have perpetual energy.
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