[Physics] Can a photon have a wavelength less than the planck length

electromagnetismphotonsquantum mechanics

Well? Maths if necessary, please.

Would the photon effectively have no wavelength?

Best Answer

If there was a minimum wavelength, you just could increase your own velocity in direction of the photon to still make it smaller.

Since the relative velocity to the photon must always be c the only thing that can increase then is the frequency, so you always can get a still smaller wavelength just by increasing the doppler effect.

Because of that there is no minimum wavelength. If you could reach c (which you can't) the wavelength would be zero, but since you can get arbitrarily close to c the wavelength can also get arbitrarily close to zero.

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