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:
“She is as in a field a silken tent
At midday when a sunny summer breeze
Has dried the dew and all its ropes relent,”
—Robert Frost (1874–1963)
“Won’t this whole instinct matter bear revision?
Won’t almost any theory bear revision?
To err is human, not to, animal.”
—Robert Frost (1874–1963)