If we take any quantity and divide it by itself it is obviously unity. As in [tex]\frac{x}{x}\,=1[/tex]. If we consider infinity as a quantity then we can formulate the abstract algebraic formula [tex]g\,=\,\frac{\infty}{\infty}\frac{GM}{r^2}[/tex]. We can then decompose this unity to arrive at [tex]\frac{g}{\infty}\,=\,\frac{GM}{\infty r^2}[/tex]. Here the left hand side is zero and the right hand side has an infinite radial value. These values are imposed upon the equation forcing a particular result but show the relationship of the gravitational field to infinity.

However, we can also formulate the equation thus, [tex]g\infty\,=\,\frac{\infty GM}{r^2}[/tex]. This then relates to an infinite mass energy. Such as that required to escape a black hole. Here radial distance from the source has no effect on the strength of force. This is because by implication there is no point outside the source across an infinite distance. This result indicates that if there were an infinite amount of matter it would have to occupy an infinite amount of space. Thus there cannot be an infinite amount of matter in the universe.