Why is there a correlation between gravitational and magnetic fields?

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p1l0t
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A gravitational field and a magnetic field both decrease in strength at the distance squared. They are two totally different forces so why the correlation?
 
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So is it fair to say that divergence is what they have in common?
 
The vanishing divergence without sources in the common reason for both inverse square laws, indeed.
To have a magnetic field decreasing as inverse square law, you would need (unobserved) magnetic monopoles, however. It is easier with electric fields.