In theoretical physics, the issue of route dependence deals with whether a selected differential between two points is taken as absolute, or as being partly a function of the route along which comparative measurements are taken. It usually applies in discussions of gravitational potential or related effects such as gravitational redshift.
- In simpler exercises in gravitational physics, it is common to invoke gravitational potential as an absolute difference between two positions that does not depend on the route, and to invoke energy conservation as a reason why the energy gained or lost when an object moves between two defined states is fixed, independent of the route taken.
- In more advanced gravitational theory, things are not so straightforward: the nominal gravitational potential between two positions often has to be supplemented with route-dependent effects, or defined in a route-dependent manner.
Read more about Route Dependence: Spatial Route Dependence, Spacetime Route Dependence, See Also
Famous quotes containing the words route and/or dependence:
“no arranged terror: no forcing of image, plan,
or thought:
no propaganda, no humbling of reality to precept:
terror pervades but is not arranged, all possibilities
of escape open: no route shut,”
—Archie Randolph Ammons (b. 1926)
“This immediate dependence of language upon nature, this conversion of an outward phenomenon into a type of somewhat in human life, never loses its power to affect us. It is this which gives that piquancy to the conversation of a strong-natured farmer or backwoodsman, which all men relish.”
—Ralph Waldo Emerson (1803–1882)