We know that
and
Further, the Schwarzshild radius is
Assuming that the mass is uniformly spread out around the
wavelength, or the size of one photon, we can look at the ratio between
the wavelength and the Schwarzshild radius. Combining (1)-(3). When that quote becomes less
than (approximately) 1, we have a higher mass density then what is
required by a black hole:
Putting in the numbers, one arrives at
This looks like the upper frequency a photon can have (Isn't also a bit scary that the exponent is 42...?).If it was possible to create two photons with
and one can make them interact via some non-linear process, one can make a black hole from two photons.
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