Torsion Balances

Since the late 18th century when Cavendish performed his measurements of the force of gravity, torsion balances have been regular thing used to make precision measurements of the force between two objects. Our group specializes in applying torsion balances to measure the gravitational constant (“Big G”), the inverse square law of gravity, and the equivalence principle with the aim to search for exotic interactions that would cause deviations from the predictions of General Relativity. These experiments have allowed us to constrain a wide range of theories from string theory to dark matter.

A torsion balance consists of a pendulum hung from a very thin fiber. This forms a low frequency spring mass system in the torsional degree of freedom. The angle of the pendulum is recorded via an optical readout allowing one to precisely measure the interactions of the pendulum with an external mass.

With my fellow group members, I’ve developed technologies aimed at improving the performance of these experiments. First off, we’ve constructed a cryogenic torsion balance (shown below) that operates at liquid helium temperatures (~5 K). Many torsion balances are limited by so called thermal noise which is caused by the thermal vibration of the atoms that make up the torsion fiber. Decreasing the temperature decreases these vibrations thus decreasing the noise in the instrument. Additionally, operating a torsion balance at cryogenic temperatures allows for some unique experiments including those using superconductors as test masses or using superconducting shields to remove spurious magnetic fields.


Additionally, we have developed the interferometric readout torsion balance shown below. The angle of the pendulum in most experiments of this type is measure by an autocollimator which consists of bouncing light of a mirror attached to the pendulum and measuring the displacement of the return beam on a position sensitive sensor. However, an interferometric readout can be significantly more sensitive allowing us to measure much small angles. To achieve this we built a modified Michelson interferometer which uses the two ends of the torsion balance as the two arms of a Michelson. This allows us to measure angular displacements down to ~10 prad. Due to the extreme sensitivity and unique pendulum shape, this apparatus can be applied to study a number of different phenomenon including the gravitational interaction of the atmosphere and the pendulum (so called Newtonian noise), technology development for low frequency gravitational wave detectors, and rotational seismology.