What is G? A Predictive Toy Model of Newtonian Gravity in the Spirit of Principia Mathematica

Based on a toy model that postulates space as a dynamic 3D grid of nodes and stems arranged as a repeating pattern of a unit cell of unknown geometry, an equivalence and interchangeability of space and mass is proposed, the latter being a collapsed state of the former. Masses would originate from the collapse of a certain amount of unit cells proportional to the mass. From the model and under spherical symmetry, Newtons’s Law is reproduced and the value of G is shown to be independently derivable from a Cavendish experiment. The locally collapsed grid would then generate a dynamical system of force lines, akin to Faraday’s lines in electromagnetism, which surface density decays as $\frac{1}{r^2}$ and determines the force on the test mass. A correction is added to the classical formulation for the case of non-baryonic gravity and gravity of unknown origin that reduces to the standard when there is none. Finally, an argument is made about the range of the gravitational force, which in this model would be extremely large but finite.