Think about an electromagnetic wave.

Assume that it is a photon of frequency omega.

Here comes the question. Which do you think is right?

1. The frequency omega can take any value. The Maxwell's equation does not impose any limit on the frequency of free electromagnetic wave.

It can be higher and higher without limit. Still we can call it an electromagnetic wave or a photon.

2. There may be frequency limit that the electromagnetic wave can hold its electromagenetic character.

Since a pair of gammer ray reacts to create a couple of electron and positron, as the frequency of the electromagnetic wave becomes higher and higher it inclines to materialize. A photon of frequency of 10 to the power of 100 Herz is impossible!

Waiting your various answers.

complexpotential

March 13, 2012

Since E = h v, a photon of frequency of 10^100 Hz has an energy of 6.626 x 10^66 J. This is clearly an absurd number, and there are no conceivable physical processes which can generate a single photon with so much energy.

Having said that, the two statements you listed are not truly mutually exclusive. It is true that Maxwell's equations do not impose a limit on the frequency of a photon. However, the creation of high-energy photons is constrained by physics in other ways. My understanding is that there must be a change in the energy state of something (e.g. a nucleus, atom, molecule) that corresponds to the energy of the photon.