answer to double A's ? about black holes

The idea of time dilation due to gravitation pull was first proven at
Harvard by having instruments at the bottom of a building and
instruments at the top. The researches realized that a light beam
shot upward from the top of the building felt the Doppler effect and
was slowed down less than the light shot upward from the bottom of
the building. (Since the light beam at the bottom was being pulled
down more bc it is closer to the center of Earth's gravity). Now we
see objects falling onto the Earth, or trying to get away, experience
the effect of time dilation, however, the Earth itself does not. The
entire black hole has to be moving at speeds close to the speed of
light for it to experience time dilation effects. the equation for
time dilation is t'=t * sqrt(1-v^2/c^2), where t' is the time between
two events, t is what the time would be if you weren't moving, v is
your velocity and c is the velocity of light. Since the black hole
itself is not moving at speeds close to the speed of light it does
not feel time dilation effects


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