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

Abstract

It is shown that the inert properties of a stationary random process can be expressed in terms of the ratio of its correlation interval τx to the doubled variance Dx. When using a fixed value of Planck’s constant h as a proportionality factor, the ratio hτx/2Dx has the dimension of a kilogram and can be used as an equivalent of a mass standard. It is proposed to use thermal (i.e., Johnson–Nyquist) noise as a reference Gaussian stationary random process. The theoretical substantiation of the project for the creation of “thermoelectric semiconductor ampere-balances” for balancing the inert mass of a quasi-ideal silicon-28 ball is also given. Combining these two projects can provide the basis for a stable and reproducible mass standard.