Here is a thought experiment.
From the surface of a planet , in the G well, shine a green light upwards out of the G well.An outside observer sees a red shifted light.
Everyone agree so far?.
Next to the green light put a frequency meter to count the light waves and
divide the number by a squilion (whatever) so that its output is one count per second.Link this output with a display of numbers .After 1 second show 1,after the next second show 2 and so on.
The outside observer will see the green light (red shifted) and numbers changing at slower than 1 per second, set by the rate from the counter which
slows at the same rate as the red shift.
At the surface the number rate will be measured it 1 per second.
The outside observer will measure less than 1 per second.
Eventually the numbers will be out of step.
The outside observed number will be less then the surface observed number.
Where are the missing numbers?.