As you increase the energy of a photon it's wavelength shortens. Is it theoretically posible for light to not have a wavelength? Like a still pond?
In case of photon's wave nature they have definite wavelengths for definite energies. If wavelength become zero then its energy become infinite which is impossible. Secondly, every wave must have wavelength which defines its motion. If wavelength become zero then wave become motionless.
How about doing it the other way? Quote "The earth is a magnet, and it is accelerating as it rotates the Sun, so it radiates EM waves with a period of 365 days and a wavelength of 1 light year." The frequency would be so low as to have no detectable wavelength. Like a still pond.