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Yes, if you freefall into a gravity well, you would still experience gravitational time dilation. The phenomenon of gravitational time dilation is not dependent on the specific motion of an object within a gravitational field but rather on the strength of the gravitational field itself.

In general relativity, gravitational time dilation arises due to the curvature of spacetime caused by mass or energy. When an object is in a region of stronger gravitational field, such as near a massive object like a planet or a black hole, time runs slower relative to an observer in a weaker gravitational field.

When you freefall into a gravity well, you are essentially in a state of unaccelerated motion under the influence of gravity alone. In this scenario, your motion follows the curvature of spacetime caused by the mass of the object you are falling towards. Since you are in a region of stronger gravitational field, time would appear to pass slower for you relative to an observer located in a weaker gravitational field.

This effect has been confirmed by experiments and observations. For instance, astronauts aboard the International Space Station (ISS) experience slightly faster time relative to observers on Earth due to the weaker gravitational field in low Earth orbit.

So, regardless of your motion within a gravitational field, if you are in a region of stronger gravity, you will experience gravitational time dilation.

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