Why is the moon's gravity differential field pointing away from the

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SUMMARY

The moon's gravity differential field points away from the moon on the side of the Earth facing away from it due to the difference in gravitational strength. This differential field represents the variation between the gravitational force exerted by the moon at a specific point and the force at the Earth's center. As the moon's gravitational influence weakens with distance, the differential field indicates a weaker attraction towards the moon, thus pointing away from it. Conversely, when the moon is on the horizon, the differential field shifts to point towards the Earth's center.

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Why is the moon's gravity differential field pointing away from the moon on the side of the Earth facing away from the moon?
http://en.wikipedia.org/wiki/Tidal_forces
 
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You have to understand what is meant by a differential field. Here, it's the difference between the gravitational field generated by the moon at that point and the field it generates at the Earth's centre. Since the moon's gravity is weaker further from the moon, the field it generates towards itself there is less than its field at the Earth's centre, so the difference points away from the moon.
More subtle is working out that when the moon is on the horizon the differential field points towards the Earth's centre.
 

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