The kilogram: inertial or gravitational mass?

Abstract

With the redefinition of the international system of units, the value of the Planck constant was fixed, similarly to the values of the unperturbed ground state hyperfine transition frequency of the ${}^{133}$Cs atom, speed of light in vacuum. Theoretically and differently from the past, the kilogram is now explicitly defined as the unit of inertial mass. Experimentally, the kilogram is realized by atom count or the Kibble balance. We show that only the former method measures the inertial mass without assuming the universality of free fall. Therefore, the agreement between the two measures can be interpreted as a test of the equivalence principle.

arXiv comment2 pages, submitted to Metrologia

References in corpus (5)

• Test of the Equivalence Principle Using a Rotating Torsion Balance
• Torsion-balance tests of the weak equivalence principle
• The MICROSCOPE mission: first results of a space test of the Equivalence Principle
• Does an atom interferometer test the gravitational redshift at the Compton frequency ?
• A promising method for the measurement of the local acceleration of gravity using Bloch oscillations of ultracold atoms in a vertical standing wave

Cited by in corpus (1)

• Stochastic Approach to Determining the Mass Standard Based on the Fixed Values of Fundamental Physical Constants