A gravitational metrological triangle
arxiv(2024)
摘要
Motivated by the similarity of the mathematical structure of Einstein's
General Relativity in its weak field limit and of Maxwell's theory of
electrodynamics it is shown that there are gravitational analogues of the
Josephson effect and the quantum Hall effect. These effects can be combined to
derive a gravitational analogue of the quantum/electric metrological triangle.
The gravitational metrological triangle may have applications in metrology and
could be used to investigate the relation of the Planck constant to fundamental
particle masses. This allows for quantum tests of the Weak Equivalence
Principle. Moreover, the similarity of the gravitational and the
quantum/electrical metrological triangle can be used to test the universality
of quantum mechanics.
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