Do we travel at the speed of light in the dimension of time?

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Offline theCoolScientist

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We travel at the speed of light in the dimenson of time.what is the meaning of this?i am referring to minkowsky space
« Last Edit: 13/03/2015 10:21:48 by chris »

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Offline PmbPhy

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Re: Question for relativity specialists
« Reply #1 on: 04/03/2015 07:07:31 »
We travel at the speed of light in the dimenson of time.what is the meaning of this?i am referring to minkowsky space
The concept of speed as you're using it is a misnomer because speed is distance traveled per unit time and in this context "distance" does not have the same meaning that you're used to, hence the confusion. The distance isn't a distance at all. It never should be called that in fact. When people use that notion they're thinking of the magnitude of something called the metric. In Euclidean geometry the expression for the metric is

[tex]\Delta L^2 = \Delta x^2 + \Delta y^2 + \Delta z^2[/tex]

For two closely spaced points. In this case the "distance" between the points is [tex]\Delta L[/tex] .