Cryogenic Test of the Gravitational Inverse-Square Law

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Test Of Gravity, Cryogenic, Superconducting Accelerometer, Icga 09

Scientific paper

In string theories, the law of gravity changes as the distance r is reduced to below the radius of compactification, R. Gravity-only large extra dimensions with R ~ 100 μm could solve the gauge hierarchy problem in grand unification. On the other hand, the observed accelerating expansion of the universe is consistent with a vacuum-energy density 10120 times smaller than the value predicted from the quantum corrections to it. This enormous discrepancy could be eliminated if gravitons were 'fat' with the size of the order of 50 μm. Both of these possibilities would lead to a violation of the 1/r2 law below 100 μm.
We are conducting a sub-millimeter test of the 1/r2 law at 4.2 K. To minimize Newtonian errors, the experiment employs a near-null source, a circular disk of large diameter-to-thickness ratio. Two test masses, also disk-shaped, are positioned on the two sides of the source mass at a nominal distance of 260 μm. The test masses are connected to a SQUID to form a superconducting differential accelerometer. As the source is driven sinusoidally, a violation signal should appear at the second harmonic due to symmetry. The detector is rigidly mounted on the housing and the source mass is suspended separately and driven from outside the housing. The source is driven at its resonance frequency. In this paper, we discuss the design, principle, and progress of this experiment.

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