English

The kilogram: inertial or gravitational mass?

Classical Physics 2022-08-24 v3

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^{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.

Keywords

Cite

@article{arxiv.2201.12136,
  title  = {The kilogram: inertial or gravitational mass?},
  author = {Giovanni Mana and Stephan Schlamminger},
  journal= {arXiv preprint arXiv:2201.12136},
  year   = {2022}
}

Comments

2 pages, submitted to Metrologia

R2 v1 2026-06-24T09:07:25.266Z