The Analysis of Matter Accretion

This paper follows a derivation of an equation called the Accreted Matter Equation. My inspiration for deriving it started with questioning the special relativity concept of the mass-energy equivalence. While respecting that the mass-energy equivalence is a well-supported science and do not find any contrarian position against it, I did imagine what if the concept was pre-Einsteinian to have a fresh perspective over it. Using a classical physics concept like the relationship between force, work, and potential energy, this led me to this second order differential equation, relating a non-linear time varying body of mass with its potential energy in space. Following the derivations of the gravitational potential energy and gravitational binding energy, I derived another equation that has a coefficient that matches the Laplacian of the gravitational potential from Gauss' Law for Gravitation. However, it appears to be a multiple of six, having me to question for its reason. I deduced a hypothesis that it could be a geometric factor and derived a mathematical theorem to support it. Later in the paper when considering the diameter spread of a massive body, I could simplify the coefficient down to the actual Laplacian of the gravitational potential, noticing the factor of six represents three dimensions and the regular coefficient for just one. Lastly, I question if the derivation of the Accreted Matter Equation could have applications for Quantum Physics. So far, it appears that the application could be used to study accretion of a celestial body’s radial growth. An example is a protoplanet having its gravity collecting material to reach its full size. I would love this paper to be peer-reviewed to start a discussion over its accuracy and potential applications.