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Spacelines and Timelines and Spacetime Curvature and Gravitation: Difference between pages

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A ''spacetime'' is the set of all points of a space in all its moments of time, and it is depicted by the whole two-dimensional surface of a graph. A ''spaceline'' (space dimension) is the set of all points of a spacetime that coexist in a specific moment of time, i.e. all points that have the same time coordinate (isochronal line). The ''timeline'' of a spacepoint is the set of all points of a spacetime that have the same space coordinate as the spacepoint. This is also the timeline of a stationary object. Obviously, we can also define in a similar manner ''spacesurfaces'' and ''spacevolumes'', and ''timesurfaces'' and ''timevolumes''.
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Thus a ''spacepoint'' (a space coordinate) defines a timeline (or a timesurface in a 2+1 spacetime, or a timevolume in a 3+1 spacetime), and a ''timepoint'' (a time coordinate) defines a spaceline (or a spacesurface in a 2+1 spacetime, or a spacevolume in a 3+1 spacetime). Finally, we can define the timeline of a moving object as the set of all points that satisfy the motion equation of the object.
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<td align="center" style="padding: 10px 5px 10px 5px">Click [http://www.visual-physics.com/components/com_mambowiki/Simulations/CurvatureAndGravitation/CurvatureAndGravitation3D.xml _BLANK here] to download<br />the [http://fem.um.es/Ejs Ejs] xml source file for the applet.</td>
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[[Category:Proper Time Adjusted Special Relativity]]
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Here we will describe the mechanism through which spacetime curvature (see [[Forms of Spacetime Curvature]]) produces the acceleration of gravity. A first working hypothesis is described in the simulation that follows. This needs to be formulated mathematically.
 
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== Simulation ==
 
<iframe width="100%" height="520px" align="left" scrolling="no" style="clear: all" src="/components/com_mambowiki/Simulations/CurvatureAndGravitation/CurvatureAndGravitation.html" frameborder="0" ></iframe>
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==Remarks==
 
 
 
[[Category:Gravitation]]

Revision as of 03:49, 31 December 2006

Click _BLANK here to download
the Ejs xml source file for the applet.








Here we will describe the mechanism through which spacetime curvature (see Forms of Spacetime Curvature) produces the acceleration of gravity. A first working hypothesis is described in the simulation that follows. This needs to be formulated mathematically.

Simulation

<iframe width="100%" height="520px" align="left" scrolling="no" style="clear: all" src="/components/com_mambowiki/Simulations/CurvatureAndGravitation/CurvatureAndGravitation.html" frameborder="0" ></iframe>


Remarks