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| In physics, a '''world tube''' is the path of an object occupies a nonzero region of space (nonzero ]) at every moment in time, as it travels through 4-]al ]. That is, as it propagates in ], a world tube traces out a three-dimensional ] for every moment in time.<ref>Malcolm Ludvigsen: ''General relativity: a geometric approach'', Cambridge University Press, 1999, ISBN 0-521-63019-3, </ref> The world tube is analogous to the one-dimensional ] in that it describes the time evolution of an object in space, with the difference that a world line |
In physics, a '''world tube''' is the path of an object which occupies a nonzero region of space (nonzero ]) at every moment in time, as it travels through 4-]al ]. That is, as it propagates in ], a world tube traces out a three-dimensional ] for every moment in time.<ref>Malcolm Ludvigsen: ''General relativity: a geometric approach'', Cambridge University Press, 1999, ISBN 0-521-63019-3, </ref> The world tube is analogous to the one-dimensional ] in that it describes the time evolution of an object in space, with the difference that a world line represents the path of a ] (of nonzero volume), whereas a world tube occupies finite space at all moments in time. | ||
| The concept of world tube is particularly relevant for ], where a world tube is embedded in ]. | The concept of world tube is particularly relevant for ], where a world tube is embedded in ]. | ||
Revision as of 15:55, 14 May 2013
In physics, a world tube is the path of an object which occupies a nonzero region of space (nonzero volume) at every moment in time, as it travels through 4-dimensional spacetime. That is, as it propagates in spacetime, a world tube traces out a three-dimensional volume for every moment in time. The world tube is analogous to the one-dimensional world line in that it describes the time evolution of an object in space, with the difference that a world line represents the path of a point particle (of nonzero volume), whereas a world tube occupies finite space at all moments in time.
The concept of world tube is particularly relevant for special relativity, where a world tube is embedded in Minkowski space.
See also
References
- Malcolm Ludvigsen: General relativity: a geometric approach, Cambridge University Press, 1999, ISBN 0-521-63019-3, p. 74
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