Baron wrote:

If you take any antenna and reduce its physical size you will also
reduce the amount of energy that it can radiate for any given input. I
forget the rule of thumb, but it goes something like inverse square.
Half the radiation quarter of the distance.

That's not true. All the power delivered to an antenna is either
radiated or turned into heat -- antennas have to obey the law of
conservation of energy like everything else. The fraction which is
turned into heat is determined by the loss of the antenna, not its
physical size. Loss does generally increase as the size gets smaller,
but not by any fixed proportion to the size, and many small antennas can
be quite efficient.

Roy Lewallen, W7EL