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Spacelines and Timelines and Speed of Light and the "Rate of Propagation of Time": Difference between pages

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<td align="center" style="padding: 10px 5px 10px 5px">Click [http://www.visual-physics.com/components/com_mambowiki/Simulations/TimePropagation/SpecialRelativityV2_5.xml _BLANK here] to download<br />the [http://fem.um.es/Ejs Ejs] xml source file for the applet.</td>
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== Introduction ==
Proper Time Adjusted Special Relativity seems to suggest that there is a close connection between the speed of light and the "rate of propagation of time" along the space dimension.
In a flat Galilean spacetime where the space dimension is a straight line perpendicular to the time dimension, the speed of light can be considered infinite and the "rate of propagation of time" can also be considered infinite: that is, with the passage of time the whole length of the space dimension passes instantaneously from one time moment to the next.
In a curved spacetime, the speed of light is not infinite, and the rate of propagation of time is also not infinite. This suggests that the speed of light and the rate of propagation of time may be closely connected or even identical phenomena.
Please see the interactive simulation below for full treatment.
<table width="100%" style="clear:all" >
== The Simulation ==
<iframe width="100%" height="585px" align="left" scrolling="no" style="clear: all" src="wiki/Simulations/TimePropagation/TimePropagation.html" frameborder="0" ></iframe>
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<br style="clear: all" />
<table width="210px" align="right">
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{{PTASR}}
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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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== Remarks ==
The speed of light c appears to be an insurmountable velocity barrier for matter. This may be due to the fact that it represents the rate of propagation of time. We may conjecture that if this rate was greater, the speed of light would be greater also. (An interesting hypothesis to be tested would be that the speed of light itself is in fact infinite, and we only "catch up" with it with the passage of our time.)
 
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== Note ==
The above refer to the proper time that the Stationary Body attributes to the Moving Body, what we could call "attributed or perceived proper time". On the other hand, on the basis of this formulation, both the Stationary and the Moving Body have the same ''Polar Time T''. In other words, they measure the same age for the universe.
 
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== See also ==
*[[The Proper Time of Photons and the Nature of Light]]


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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[[Category:Proper Time Adjusted Special Relativity]]
[[Category:Proper Time Adjusted Special Relativity]]
[[Category:Stubs]]

Revision as of 19:10, 31 December 2006

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

Introduction

Proper Time Adjusted Special Relativity seems to suggest that there is a close connection between the speed of light and the "rate of propagation of time" along the space dimension.

In a flat Galilean spacetime where the space dimension is a straight line perpendicular to the time dimension, the speed of light can be considered infinite and the "rate of propagation of time" can also be considered infinite: that is, with the passage of time the whole length of the space dimension passes instantaneously from one time moment to the next.

In a curved spacetime, the speed of light is not infinite, and the rate of propagation of time is also not infinite. This suggests that the speed of light and the rate of propagation of time may be closely connected or even identical phenomena.

Please see the interactive simulation below for full treatment.

The Simulation

<iframe width="100%" height="585px" align="left" scrolling="no" style="clear: all" src="wiki/Simulations/TimePropagation/TimePropagation.html" frameborder="0" ></iframe>


Remarks

The speed of light c appears to be an insurmountable velocity barrier for matter. This may be due to the fact that it represents the rate of propagation of time. We may conjecture that if this rate was greater, the speed of light would be greater also. (An interesting hypothesis to be tested would be that the speed of light itself is in fact infinite, and we only "catch up" with it with the passage of our time.)



Note

The above refer to the proper time that the Stationary Body attributes to the Moving Body, what we could call "attributed or perceived proper time". On the other hand, on the basis of this formulation, both the Stationary and the Moving Body have the same Polar Time T. In other words, they measure the same age for the universe.



See also