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The immobalizing pressure theory is right if you are falling through the magma in the core. However, if you are dropping an object through a vacated hole, there will be no pressure. What causes gravity is the mass of the earth, so at the very center of the earth, you will have an equal amount of the earth's mass on every side of you, so the forces will cancel out, making you weightless at the center. Therefore, and object dropped through would be accelerated until it reached the center, at which point gravity would slow it down until it reached the other side of the planet, and started to fall back to the center.
"He who does not question is lost."
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