I had previously read that link before you made the OP and I am afraid I was just us puzzled as you were and also wondered exactly what “infinite wavelength” physically means in this context.
A photon is an oscillation of electric and magnetic fields where each generates the other through space. If a photon has infinite wavelength, then those electric and magnetic fields no longer oscillate and the implications of that are ....?
Originally posted by AThousandYoungThis is certainly true for a photon moving through a vacuum. In fact, a photon moving through a vacuum with infinite wavelength technically doesn't exist. However, in the link in the OP, the context was an existing photon moving through a metamaterial so not sure what that implies in that context.
Infinite wavelength implies zero energy doesn't it?