Does the measured value of the Planck constant depend on the energy of measurements?

TL;DR

This paper investigates whether the measured value of the Planck constant varies with the energy scale of measurements, using data from watt-balance experiments and atomic measurements spanning nine energy decades.

Contribution

It provides an analysis of the consistency of Planck constant measurements across a wide range of energy scales, testing for potential energy dependence.

Findings

No significant variation of the Planck constant across energy scales

Supports the constancy of fundamental constants within experimental uncertainties

Enhances confidence in the universality of physical laws

Abstract

The measurement of the Avogadro constant opened the way to a comparison of the watt-balance measurements of the Planck constant with the values calculated from the quotients of the Planck constant and the mass of a particle or an atom. Since the energy scales of these measurements span nine energy decades, these data provide insight into the consistency of our understanding of physics.