So in high school we are taught the equation for force from electric fields or gravity is proportional to the distance squared. This implies that this force can become arbitrarily high as you approach closer to the point mass/charge. In practice I realize that the point mass/charge does not exist, the electric force breaks down to the weak force and gravity may not be a force at all. I always assumed that the real function is closer to a 1/(arctan(constant/distance)^2, just because that made more sense in my head. Basically if "gravitons" spontaneously come into existance at the point mass heading in a random direction at the speed of light from time to time then one would expect that as you get closer you cannot be hit by more than all of the gravitons and only a finite amount are sent out in a finite amount of time thus there are no infinites. I have never read anywhere about whether this is true or not. Do we believe that the electric/gravitational force should behave more like 1/arctan^2 or more like 1/x^2.