THE PROBLEM OF MEASURING THE GRAVITATIONAL CONSTANT G: The greatest metrological dead end in history or proof that gravity is more complex than Newton thought?

24 July 2026, Version 2
This content is an early or alternative research output and has not been peer-reviewed by Cambridge University Press at the time of posting.

Abstract

The "Big G" problem remains an unsolved mystery in modern metrology and physics. Scientists have yet to obtain a precise value for the gravitational constant. Various laboratories use impeccable equipment that achieves record-breaking measurement accuracy, yet their results consistently diverge beyond the permissible error margins. It is shown here that the problem of the gravitational constant G is directly related to the incompleteness of the Newtonian model of gravity. The gravitational constant G refers to the gravity of the entire universe—this is its fundamental meaning. However, "Big G" is calculated from Newton's law of gravity, which does not take into account the gravity of the universe. Using the local law of two-body gravity F = GmM/r^2 without taking into account the gravity of the enormous mass of the universe leads to an error. To eliminate this error, it is proposed to use the law of gravity FU = GmM/r^2 + (mc^2)√Ʌ, which takes into account the gravity of the universe. It has been shown that the discrepancy between the values of G lies in the fact that the second component of the gravitational force, (mc^2)√Ʌ, is not taken into account when calculating it. This leads to a shift in the values of G by varying amounts, depending on the contribution of the second component, (mc^2)√Ʌ. The measured value of the constant G depends not only on technical limitations but also on how adequately the physical law from which it is calculated describes gravity

Keywords

gravity
gravitational constant
the "big G" problem
the Great Attractor
Newton's law of gravitation

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