World Lines As A Tool To Describe Events
A one-dimensional line or curve can be represented by the coordinates as a function of one parameter. Each value of the parameter corresponds to a point in spacetime and varying the parameter traces out a line. So in mathematical terms a curve is defined by four coordinate functions (where usually denotes the time coordinate) depending on one parameter . A coordinate grid in spacetime is the set of curves one obtains if three out of four coordinate functions are set to a constant.
Sometimes, the term world line is loosely used for any curve in spacetime. This terminology causes confusions. More properly, a world line is a curve in spacetime which traces out the (time) history of a particle, observer or small object. One usually takes the proper time of an object or an observer as the curve parameter along the world line.
Read more about this topic: World Line
Famous quotes containing the words world, lines, tool, describe and/or events:
“The world must be made safe for democracy. Its peace must be planted upon the tested foundations of political liberty.”
—Woodrow Wilson (1856–1924)
“Called as partners in Christ’s service,
Called to ministries of grace,
We respond with deep commitment
Fresh new lines of faith to trace.
May we learn the art of sharing,
Side by side and friend with friend,
Equal partners in our caring
To fulfill God’s chosen end.”
—Jane Parker Huber (b. 1926)
“A broken altar, Lord, thy servant rears,
Made of a heart, and cemented with tears:
Whose parts are as thy hand did frame;
No workman’s tool hath touched the same.”
—George Herbert (1593–1633)
“I don’t try to describe the future. I try to prevent it.”
—Ray Bradbury (b. 1920)
“All strange and terrible events are welcome,
But comforts we despise.”
—William Shakespeare (1564–1616)