New null experiment to test the inverse square law of gravitation

Mathematics – Logic

Scientific paper

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Scientific paper

A "source-independent" null experiment for the Newtonian law of gravity is proposed. The new scheme involves detection of the Laplacian of the gravitational potential ∇2φ(r-->) in free space, i.e., where ρ(r-->)=0. This quantity should vanish identically regardless of the mass distribution in the rest of the universe if the inverse square law is exact. A departure from null in ∇2φ(r-->) could be measured by monitoring the breathing mode of a sphere or by summing three gravity gradients at a single point along any three orthogonal directions. The "source-independent" behavior of the proposed technique will allow a test of the inverse square law in the intermediate range between 1 m and 10 km in which large geological objects might be used as sources.

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