A Suitable Way of Normalizing New Si To Make C and H Unities

Abstract

Yarman’s Approach, which serves as the basis of YARK gravitation theory (as abbreviated from “Yarman-Arık-Kholmetskii”), together with its recently developed extension QTG (Quantal Theory of Gravity), motivated us to question the suitability of Natural Units commonly used in Quantum Field Theory (QFT) and other areas of physics. That and the consensus of the General Conference on Weights and Measures (CGPM) towards the establishment of “New SI” inspired us to explore an appropriate way of normalizing the metric system in order to make the utmost theoretical speed limit of light c and the Planck Constant h unities, as well as universal constants, respectively. Our metrological approach herein reveals that the correction factor k introduced to the retired definition of vacuum permeability µ0 — as extracted from an indiscriminate Fine-Structure Constant α value — does not suffice to align the computed α with the latest experimental measurements of α. One may therefore require a rectified value for the elementary charge e along with the need to restore its uncertainty digits. All this is especially relevant within the context of the 20 May 2019 international decision to fix the Planck Constant to a definite value while letting the kilogram vary instead. One thus remarkably ends up with the necessity to either restore the uncertainty parts of the elementary charge in contrast to the SI redefinition, or to recalculate the correction factor k that latterly appears in vacuum permeability, or both. Another far-reaching option is the idea of restituting the uncertainties for the Planck Constant and/or lightspeed too when SI is normalized and then re-normalized without disturbing the meaningfulness of the related physical dimensions. © Işık University, Department of Mathematics, 2024; all rights reserved.