Light waves with 0 amplitude due to extreme red shift?

[ScientificMind]

Is it theoretically/mathematically possible for light waves to be red-shifted so much that it's amplitude is equal to zero?

 

[axmls]

The shift in frequency is unrelated to the amplitude of the wave as far as I know.

 

[mfb]

You would need an infinite redshift factor which is unphysical.
If space expands by a factor of 10, the energy density goes down by a factor of 10000, so your amplitude goes down by a factor of 100.
If space expands by another factor of 10, the energy density goes down by another factor of 10000, so your amplitude goes down by another factor of 100.
...
It will never be zero.