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Noesis

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I did not want to post this question elsewhere since it has nothing to do with school, just a personal muse.

Analyzing both Coloumb's Law and the Biot-Savart Law for electric and magnetic fields, I notice that the constants involved both contain 4pi and are inversely related to the distance squared.

Putting this factor together, 4pi*r^2, would be the surface of a sphere centered at the point we are measuring from.

Since 4pi*r^2 is in the denominator, this means either the electric field or magnetic field at a point is inversely proportional to it.

Now do these factors truly stem from inverse proportionality to the surface of a sphere centered about the point of interest, or do they come from other sources?

If so, would it be feasible to have a gravitational analog in the Law of Gravitation since it is also inversely related to distance squared? Perhaps we could simply factor out a G from 4pi. I know the last bit on gravitation is a stretch, but it seems like a cool idea.

Someone shed some light on this darkness!