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I don't understand what you mean by the "size" of a photon. The
word "size" should imply a measurement of some sort.
Here is one way that you can't measure the size:
Shine a laser beam on an aperture with a shutter and put a photon
counter on the other side of the aperture. Open the shutter for some
time interval, and keep shortening the interval. If the photons had a
size L then there should be no clicks in the counter when the shutter is
open for times shorter that L/c.
The experimental result, I am assured, is that there is no time
interval so short that the beam cuts off. The click rate in the counter
just gets slower and slower as the time interval gets shorter and shorter.
The interpretation is that the shutter merely reduces the probability that
a photon gets through the aperture.