... My idea is use the avalanche mode operation of Zener diodes as a generator of vast quantities of RF noise and then harvest electricity from the reception of these signals in appropriately designed antennas. ...
You'll get almost nothing back. First, the generation of electromagnetic waves is always done with losses in the resistive part of the generator output impedance (here, the diode), then there will be additional losses between the transmitting and receiving antennas due to imperfect coupling, finally there is no reason to believe that the noise power generated by the diode would be higher than the one needed to feed it. Or would you have some that generations of electronic engineers before you would not have seen? And why? Electromagnetic radiation is generated by the acceleration of electrons in an antenna, thus by a high frequency electric current. In reception, it is the opposite, the field induces in the antenna the acceleration of the electrons, thus generates a current. As we already have the high frequency current in the diode, it is completely absurd to go through an intermediate antenna coupling to recover only a part of it.
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"Open your mind, but not like a trash bin"
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