- #1

Mortimer

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I would be interested to hear what others think of the general concept of relativistic velocity in the time dimension, analogous to spatial velocity.

To get going, consider the Minkowski velocity 4-vector:

[tex]\gamma(c,v_1, v_2, v_3)[/tex]

The time component of this 4-velocity is [tex]\gamma c[/tex]. With increasing spatial velocity, this component goes to infinity. With spatial velocity zero, it equals

Obvious questions are:

- how to give (physical) meaning to this component; seconds per second is not very usable.

- why does the time component go to infinity, while it is clear that proper time goes to zero.

To get going, consider the Minkowski velocity 4-vector:

[tex]\gamma(c,v_1, v_2, v_3)[/tex]

The time component of this 4-velocity is [tex]\gamma c[/tex]. With increasing spatial velocity, this component goes to infinity. With spatial velocity zero, it equals

*c*.Obvious questions are:

- how to give (physical) meaning to this component; seconds per second is not very usable.

- why does the time component go to infinity, while it is clear that proper time goes to zero.

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