In this story I'm working on, a tower on Earth is projecting a field to the Moon that keeps it locked in place directly above where the tower is. To onlookers on Earth, the Moon seems stationary to them at all times. They can reliably navigate the landscape using the movement locked moon as a landmark, since it never moves in the sky. In space, it rotates directly relative to Earth's rotation, staying above the location where the tower is located, without getting closer or farther from the Earth (Earth's rotation remains the same).
I'm not exactly sure about the complete effects of the Moon on the Earth. I know that the area around the tower would probably have high tides constantly, and the other end of the world would probably suffer low tides all the time as well. But I know there would be more serious consequences to keeping the moon stationary in the sky than just unbalanced water levels. So...
What would happen to the world if we froze the Moon in the sky? More specifically, how might the weather or landscape of Earth change if this occurred?