Stepwise redefinition of the SI base units

TL;DR

This paper proposes a two-stage redefinition of the SI base units, focusing on the kilogram, mole, ampere, and kelvin, using fundamental physical constants and a principle of dimensional coincidence.

Contribution

It introduces a new principle for redefining SI units based on physical constants and discusses how to maintain continuity between old and new SI definitions.

Findings

Proposes a two-stage redefinition process for SI units.

Introduces a principle of dimensional coincidence for unit redefinition.

Discusses the implications of redefining the mole, kilogram, and kelvin.

Abstract

The four SI base units are proposed to be redefined in two stages: first, the kilogram, mole and ampere should be defined, and then the kelvin. To realize the redefinition of a base unit of the SI in terms of fundamental physical constant (FPC), a principle of coincidence of their physical dimensions is put forward. Direct applying this principle will lead to the changing of the sets of base and derived units in the new SI. If we want to preserve the continuity of the division between base and derived units in the new and the current SI, the principle is to be generalized with the time dimension factor be included. The status of the mole as the base unit of measurement is considered in the current and new SI. It is proposed to redefine the kilogram using a fixed value of the Avogadro constant and then to redefine the kelvin, after the measurement accuracy of the Boltzmann constant has been increased and agreed with the values of other constants of molecular physics.