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:

    The head must bow, and the back will have to bend,
    Wherever the darkey may go;
    A few more days, and the trouble all will end,
    In the field where the sugar-canes grow.
    A few more days for to tote the weary load,—
    No matter, ‘t will never be light;
    A few more days till we totter on the road:—
    Then my old Kentucky home, good-night!
    Stephen Collins Foster (1826–1884)

    A theory if you hold it hard enough
    And long enough gets rated as a creed....
    Robert Frost (1874–1963)