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GR: Fachverband Gravitation und Relativitätstheorie

GR 6: Experimental Tests

GR 6.1: Talk

Tuesday, March 12, 2024, 15:45–16:05, HBR 14: HS 2

A gravitational metrological triangle — •Claus Lämmerzahl¹ and Sebastian Ulbricht² — ¹ZARM, University Bremen, Germany — ²PTB, Braunschweig, Germany

From gravitational analogues of the Josephson and the quantum Hall effect it is possibe to derive two gravitational analogues of the electric metrological triangle. This leads to a direct connection between the Planck constant and the mass of elementary particles. We also get an additional consistency relation for the electrical and gravitational definition of mass and also of Planck’s constant. This provides a test of the uniqueness of ℏ or of the universality of quantum mechanics, a quantum test of the equivalence principle, and may give, in principle, an alternative approach to a quantum definition of the kg.

Keywords: metrology; quantum mechanics; Josephson effect; quantum Hall effect