Inverse-square Law - Field Theory Interpretation

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:

    And they wonder, as waiting the long years through
    In the dust of that little chair,
    What has become of our Little Boy Blue,
    Since he kissed them and put them there.
    —Eugene Field (1850–1895)

    A theory of the middle class: that it is not to be determined by its financial situation but rather by its relation to government. That is, one could shade down from an actual ruling or governing class to a class hopelessly out of relation to government, thinking of gov’t as beyond its control, of itself as wholly controlled by gov’t. Somewhere in between and in gradations is the group that has the sense that gov’t exists for it, and shapes its consciousness accordingly.
    Lionel Trilling (1905–1975)