In relativistic physics, proper length is an invariant measure of the distance between two spacelike-separated events, or of the length of a spacelike path within a spacetime.
The measurement of lengths is more complicated in the theory of relativity than in classical mechanics. In classical mechanics, lengths are measured based on the assumption that the locations of all points involved are measured simultaneously. But in the theory of relativity, the notion of simultaneity is dependent on the observer. Proper lengths provide an invariant measure, whose value is the same for all observers.
Proper length is analogous to proper time. The difference is that proper length is the invariant interval of a spacelike path or pair of spacelike-separated events, while proper time is the invariant interval of a timelike path or pair of timelike-separated events.
Read more about Proper Length: Proper Length Between Two Events, Proper Length of A Path
Famous quotes containing the words proper and/or length:
“A young man is not a proper hearer of lectures on political science; for he is inexperienced in the actions that occur in life, but its discussions start from these and are about these; and, further, since he tends to follow his passions, his study will be vain and unprofitable, because the end that is aimed at is not knowledge but action. And it makes no difference whether he is young in years or youthful in character.”
—Aristotle (384–323 B.C.)
“They raise their minds by brooding over and embellishing their sufferings, from one degree of fervid exaltation and dreary greatness to another, till at length they run amuck entirely, and whoever meets them would do well to run them thro’ the body.”
—Thomas Carlyle (1795–1881)