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.
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Famous quotes containing the words world, lines, tool, describe and/or events:
“This land is your land & this land is my land—sure—but the world is run by those that never listen to music anyway.”
—Bob Dylan [Robert Allen Zimmerman] (b. 1941)
“I am so tired of taking to others
translating my life for the deaf, the blind,
the “I really want to know what your life is like without giving up any of my privileges
to live it” white women
the “I want to live my white life with Third World women’s style and keep my skin
class privileges” dykes”
—Lorraine Bethel, African American lesbian feminist poet. “What Chou Mean We, White Girl?” Lines 49-54 (1979)
“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)
“The greatest honor that can be paid to the work of art, on its pedestal of ritual display, is to describe it with sensory completeness. We need a science of description.... Criticism is ceremonial revivification.”
—Camille Paglia (b. 1947)
“When the world was half a thousand years younger all events had much sharper outlines than now. The distance between sadness and joy, between good and bad fortune, seemed to be much greater than for us; every experience had that degree of directness and absoluteness which joy and sadness still have in the mind of a child”
—Johan Huizinga (1872–1945)