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Image:Spacelike line S prime in S.png
Image:Spacelike line S prime in S.png Image ...
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User talk:Alfred Centauri
... great cultural revolution gave meaning to a spacelike geodesic. Do you see anything wrong with ... an instantaneous shot of it is a spacelike geodesic. But to define "instantaneous" you need ... confess that I don't understand the spacelike geodesic stuff you wrote either as I ... is a timelike geodesic. To 'see' a spacelike geodesic, would not the fiber above also ... Thanks, AC. I admit my material on spacelike geodesic was not very clear. I ...
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User talk:Hillman/Wikiproject GTR draft
... them. That said, if the Landau-Lifshitz spacelike convention (which I assume is a -+++ convention ... e}_2, \vec{e}_3 for spacelike unit vectors (this is fairly standard), |
Weinberg-Witten theorem
... which means that the momentum transfer is spacelike. Since we know that q\delta ... axis. This is always possible for any spacelike momentum transfer. In this reference frame, can't be zero for all spacelike momentum transfers (This is because the case ... is the limit of a sequence of spacelike momentum transfers). But this is only possible ... with E\neq 0. For spacelike momentum transfers, we can go to ...
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Schwarzschild coordinates
... inside the horizon, and the family of (spacelike) nested spheres cannot be extended inside the ... vector field \partial_t and three spacelike Killing vector fields \partial_\phi, \; \; \sin ... distances, i.e. distances taken along the spacelike geodesic congruence which arise as the integral ... coordinate, and indeed thinking of our three spacelike Killing vectors as acting on round spheres ... should embed our Riemannian manifold as a spacelike surface in E 1,2 instead. ...
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Propagator
... math>x' are separated by a spacelike interval. The usual derivation is to insert ... cone, though it falls off rapidly for spacelike intervals. Interpreted as an amplitude for particle ... affect one another. So what does the spacelike part of the propagator represent? In QFT ... extent. The nonzero time-ordered product for spacelike-separated fields then just measures the amplitude ... observable operators commute with each other at spacelike separation, messages can no more be ...
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Monochromatic electromagnetic plane wave
... vectors while \partial_x, \partial_y are spacelike coordinate vectors. Here, the Mathieu cosine \partial_u-\partial_v, \; \partial_x, \; \partial_y are spacelike vector fields. To define the electromagnetic field ... math>\vec{\xi}_1 = \partial_v three spacelike vector fields, \vec{\xi}_2 = \partial_x ... _3 = 0 which means that the spacelike unit vector fields e_1, e_2, e_3 ... e}_2, \, \vec{e}_3 are spacelike unit vector fields. Nonspinning inertial frames ...
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Minkowski space
... aV_a <0 U is spacelike if and only if \eta_{ab ... of reference. Vector fields are called timelike, spacelike or null if the associated vectors are timelike, spacelike or null at each point where the ... whose first component is positive. Together with spacelike vectors there are 6 classes in all ... necessarily consists of one timelike and three spacelike unit vectors. If one wishes to ...
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Congruence (general relativity)
... generated by nowhere vanishing timelike, null, or spacelike vector fields are called timelike, null, or spacelike respectively. A congruence is called a geodesic ... everywhere parallel to a given timelike or spacelike vector field, namely the field of tangent ... the curves. These are respectively timelike or spacelike unit vector fields. Physical interpretation In general ...
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Geodesic (general relativity)
... tangent vector whose norm is zero, and spacelike geodesics have a tangent vector whose norm ... positive. Note that a geodesic cannot be spacelike at one point and timelike at another ... like the photon will follow null geodesics. Spacelike geodesics exist. They do not correspond to ... orthogonal to a timelike Killing vector a spacelike geodesic (with its affine parameter) within such ...
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