CALLING ALL PHYSICISTS, COSMOLOGISTS AND GENERALLY SMART PEOPLE.

Okay. So I’m asking you guys for some help. Help to solve a problem I’ve devised and can’t come up with the correct answer on my own (hence why I named it after myself, go me). So here goes…

On the event horizon of a black hole you should expect electromagnetic radiation to be stuck there and not moving. Therefore you can conclude that its velocity is equal to zero. However, the relationship of v=fλ must equal zero. This means that either the waves frequency (f) or wavelength (λ) must equal zero. The interesting thing about this is the energy involved (calculated by E=hf, where h is Planck’s constant) has two values. If f=0 then E=0, if λ=0 then the wave has an infinite amount of energy (due to rearranging v=fλ to give v/λ=f and substituting to give E=h(v/ λ)). Both these answers are of course paradoxes.

So smartypants, what is going on here?