Restriction on the minimum values of the products of variances observed when introducing additional fundamental constants

Abstract

A modification is proposed to the standard measurement procedure associated with the dependence of the commutation relationships between space-time and momentum-energy observables on additional physical constants of dimensionality massM, length,L, and actionH. It is proposed to consider these commutation relationships for the additional conditionH=LM. All the lower limits on the products of the variances of these observables are obtained, making it possible to estimate the additional constantsL andM in the presence of high-precision experimental data.