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- Four-velocity abstract "In physics, in particular in special relativity and general relativity, a four-velocity is a four-vector in four-dimensional spacetime that represents the relativistic counterpart of velocity, which is a three-dimensional vector in space.Physical events correspond to mathematical points in time and space, the set of all of them together forming a mathematical model of physical four-dimensional spacetime. The history of an object traces a curve in spacetime, called its world line. If the object is massive, so that its speed is less than the speed of light, the world line may be parametrized by the proper time of the object. The four-velocity is the rate of change of four-position with respect to the proper time along the curve. The velocity, in contrast, is the rate of change of the position in (three-dimensional) space of the object, as seen by an observer, with respect to the observer's time.The value of the magnitude of an object's four-velocity, i. e. the quantity obtained by applying the metric tensor g to the four-velocity u, that is ||u||2 = u ⋅ u = gμνuνuμ, is always equal to ±c2, where c is the speed of light. Whether the plus or minus sign applies depends on the choice of metric signature. For an object at rest its four-velocity is parallel to the direction of the time coordinate with u0 = c. A four-velocity is thus the normalized future-directed timelike tangent vector to a world line, and is a contravariant vector. Though it is a vector, addition of two four-velocities does not yield a four-velocity: The space of four-velocities is not itself a vector space.".
- Four-velocity wikiPageID "226829".
- Four-velocity wikiPageLength "8661".
- Four-velocity wikiPageOutDegree "45".
- Four-velocity wikiPageRevisionID "694142860".
- Four-velocity wikiPageWikiLink Algebra_of_physical_space.
- Four-velocity wikiPageWikiLink Category:Minkowski_spacetime.
- Four-velocity wikiPageWikiLink Category:Theory_of_relativity.
- Four-velocity wikiPageWikiLink Causal_structure.
- Four-velocity wikiPageWikiLink Chain_rule.
- Four-velocity wikiPageWikiLink Congruence_(general_relativity).
- Four-velocity wikiPageWikiLink Coordinate_time.
- Four-velocity wikiPageWikiLink Covariance_and_contravariance_of_vectors.
- Four-velocity wikiPageWikiLink Differential_of_a_function.
- Four-velocity wikiPageWikiLink Event_(relativity).
- Four-velocity wikiPageWikiLink Four-acceleration.
- Four-velocity wikiPageWikiLink Four-current.
- Four-velocity wikiPageWikiLink Four-force.
- Four-velocity wikiPageWikiLink Four-momentum.
- Four-velocity wikiPageWikiLink Four-vector.
- Four-velocity wikiPageWikiLink General_relativity.
- Four-velocity wikiPageWikiLink Index_notation.
- Four-velocity wikiPageWikiLink Lorentz_factor.
- Four-velocity wikiPageWikiLink Magnitude_(mathematics).
- Four-velocity wikiPageWikiLink Metric_signature.
- Four-velocity wikiPageWikiLink Metric_tensor.
- Four-velocity wikiPageWikiLink Norm_(mathematics).
- Four-velocity wikiPageWikiLink Physics.
- Four-velocity wikiPageWikiLink Position_(vector).
- Four-velocity wikiPageWikiLink Proper_time.
- Four-velocity wikiPageWikiLink Proper_velocity.
- Four-velocity wikiPageWikiLink Row_and_column_vectors.
- Four-velocity wikiPageWikiLink Spacetime.
- Four-velocity wikiPageWikiLink Special_relativity.
- Four-velocity wikiPageWikiLink Speed_of_light.
- Four-velocity wikiPageWikiLink Tachyon.
- Four-velocity wikiPageWikiLink Theory_of_relativity.
- Four-velocity wikiPageWikiLink Time_dilation.
- Four-velocity wikiPageWikiLink Vector_space.
- Four-velocity wikiPageWikiLink Velocity.
- Four-velocity wikiPageWikiLink World_line.
- Four-velocity wikiPageWikiLinkText "4-Velocity".
- Four-velocity wikiPageWikiLinkText "4-velocity".
- Four-velocity wikiPageWikiLinkText "Four-velocity".
- Four-velocity wikiPageWikiLinkText "four-speed".
- Four-velocity wikiPageWikiLinkText "four-velocities".
- Four-velocity wikiPageWikiLinkText "four-velocity".
- Four-velocity wikiPageWikiLinkText "velocity vector".
- Four-velocity wikiPageWikiLinkText "velocity".
- Four-velocity wikiPageUsesTemplate Template:!.
- Four-velocity wikiPageUsesTemplate Template:=.
- Four-velocity wikiPageUsesTemplate Template:Cite_book.
- Four-velocity wikiPageUsesTemplate Template:Math.
- Four-velocity wikiPageUsesTemplate Template:Mvar.
- Four-velocity wikiPageUsesTemplate Template:Reflist.
- Four-velocity subject Category:Minkowski_spacetime.
- Four-velocity subject Category:Theory_of_relativity.
- Four-velocity hypernym Vector.
- Four-velocity type Insect.
- Four-velocity type Mechanic.
- Four-velocity type Physic.
- Four-velocity comment "In physics, in particular in special relativity and general relativity, a four-velocity is a four-vector in four-dimensional spacetime that represents the relativistic counterpart of velocity, which is a three-dimensional vector in space.Physical events correspond to mathematical points in time and space, the set of all of them together forming a mathematical model of physical four-dimensional spacetime. The history of an object traces a curve in spacetime, called its world line.".
- Four-velocity label "Four-velocity".
- Four-velocity sameAs Q1322540.
- Four-velocity sameAs 4-скорасць.
- Four-velocity sameAs Cuadrivelocidad.
- Four-velocity sameAs Quadrivitesse.
- Four-velocity sameAs Quadrivelocità.
- Four-velocity sameAs 사차원_속도.
- Four-velocity sameAs चौवेग.
- Four-velocity sameAs Firarsnøggleik.
- Four-velocity sameAs Quadrivelocidade.
- Four-velocity sameAs m.01h1y_.
- Four-velocity sameAs Četverec_hitrosti.
- Four-velocity sameAs Vận_tốc-4.
- Four-velocity sameAs Q1322540.
- Four-velocity sameAs 四维速度.
- Four-velocity wasDerivedFrom Four-velocity?oldid=694142860.
- Four-velocity isPrimaryTopicOf Four-velocity.