Measurement of Gravitational Coupling between Millimeter-Sized Masses
- URL: http://arxiv.org/abs/2009.09546v2
- Date: Tue, 2 Mar 2021 08:23:00 GMT
- Title: Measurement of Gravitational Coupling between Millimeter-Sized Masses
- Authors: Tobias Westphal, Hans Hepach, Jeremias Pfaff, Markus Aspelmeyer
- Abstract summary: We demonstrate gravitational coupling between two gold spheres of approximately 1mm radius and 90mg mass.
We generate a time-dependent gravitational acceleration at the location of the test mass.
We observe both linear and quadratic coupling, consistent in signal strength with a time-varying 1/r gravitational potential.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: We demonstrate gravitational coupling between two gold spheres of
approximately 1mm radius and 90mg mass. By periodically modulating the source
mass position at a frequency f=12.7mHz we generate a time-dependent
gravitational acceleration at the location of the test mass, which is measured
off resonance in a miniature torsional balance configuration. Over an
integration time of 350 hours the test mass oscillator enables measurements
with a systematic accuracy of 4E-11m/s^2 and a statistical precision of
4E-12m/s^2. This is sufficient to resolve the gravitational signal at a minimal
surface distance of 400mum between the two masses. We observe both linear and
quadratic coupling, consistent in signal strength with a time-varying 1/r
gravitational potential. Contributions of non-gravitational forces could be
kept to less than 10% of the observed signal. We expect further improvements to
enable the isolation of gravity as a coupling force for objects well below the
Planck mass. This opens the way for precision tests of gravity in a new regime
of isolated microscopic source masses.
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