Field Theory Interpretation
For an irrotational vector field in three-dimensional space the inverse-square law corresponds to the property that the divergence is zero outside the source. This can be generalized to higher dimensions. Generally, for an irrotational vector field in n-dimensional Euclidean space, the intensity "I" of the vector field falls off with the distance "r" following the inverse (n − 1)th power law
- ,
given that the space outside the source is divergence free.
Read more about this topic: Inverse-square Law
Famous quotes containing the words field and/or theory:
“Frankly, I’d like to see the government get out of war altogether and leave the whole field to private industry.”
—Joseph Heller (b. 1923)
“[Anarchism] is the philosophy of the sovereignty of the individual. It is the theory of social harmony. It is the great, surging, living truth that is reconstructing the world, and that will usher in the Dawn.”
—Emma Goldman (1869–1940)