The Correlation Between Gravitational Constant and Distance from Matter

The value of gravitational constant has been measured after the 18th century by various methods (such as using the torsion balance, very cold atoms and atom interferometry) in the macroscopic scale, namely in the distance more than one micro meter from the matter. But its amount at the vicinity of matter (for example at r< 2 fermi) has not yet been measured. It was not acceptable for me to use the current value of gravitation constant (which its value was derived in macroscopic scale) in the microscopic and subatomic scale. This was the idea that led to writing this article. Here we show that we are able to consider a large value for the gravitational constant, G, at the vicinity of matter (r<2 fm). Here we show that there are no experimental barriers for this hypothesis. Today, the strong bonds between nucleons in the nucleus of an atom is explained by the strong nuclear force (strong interaction). In this article, we show that the idea of the dependence of G on the distance from matter can pave the way to explain the strong bonds between nucleons by the force of gravity. In this article, we present a new formula for nuclear force, which, as you will see, has significant advantages over the Yukawa equation. In this article, we criticize Yukawa's theory and show that his theory has three major problems.