Is your velocity constant in space-time?

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Discussion Overview

The discussion revolves around the concept of velocity in the context of space-time, particularly in relation to special relativity. Participants explore whether one maintains a constant velocity through space-time and what that velocity might be, considering the interplay between spatial movement and time dilation.

Discussion Character

  • Exploratory
  • Technical explanation
  • Conceptual clarification
  • Debate/contested

Main Points Raised

  • Some participants propose that one is always moving at a constant velocity through space-time, suggesting that as spatial movement increases, time slows down, leading to a constant velocity.
  • Others argue that in special relativity, within an inertial frame, the space-time velocity is always the speed of light.
  • A participant suggests that to avoid confusion, it is better to refer to this concept as the 'rate of advance in space-time', asserting that this rate is constant at c for all objects.
  • One participant questions what the measure of velocity through time is if one's velocity is c.
  • Another participant provides a link to a resource that offers a geometrical interpretation of special relativity.
  • A later reply discusses the ratio of times measured by a moving clock and an observer's clock as a way to conceptualize the moving clock's 'velocity through time' relative to that observer.

Areas of Agreement / Disagreement

Participants express differing views on the nature of velocity through space-time, with some asserting a constant velocity while others provide alternative interpretations. The discussion remains unresolved with multiple competing views present.

Contextual Notes

Limitations include potential confusion between 'velocity in space' and 'rate of advance in space-time', as well as the dependence on the definitions of velocity and time in the context of special relativity.

nasageek
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I was just wondering are you always going at a constant velocity through space-time since, as your through space increases you time slows down and vice versa. So does this mean you are maintaining a constant velocity, and if so what is that velocity.
 
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nasageek said:
I was just wondering are you always going at a constant velocity through space-time since, as your through space increases you time slows down and vice versa. So does this mean you are maintaining a constant velocity, and if so what is that velocity.

In special relativity, in an inertial frame, yes. Your space-time velocity is always the speed of light.
 
nasageek said:
I was just wondering are you always going at a constant velocity through space-time since, as your through space increases you time slows down and vice versa. So does this mean you are maintaining a constant velocity, and if so what is that velocity.
To avoid confusion with the usual 'velocity in space', it is better tp speak about 'rate of advance in space-time'. What you describe is one possible geometrical interpretation of SR visualized here:

http://www.adamtoons.de/physics/relativity.swf

The rate of advance in space-(proper)time in respect to coordinate time is c, for all objects.
 
If your velocity is c then what is the measure of your velocity through time?
 
Hi A.T. that link is a wonderful one!..very informative
 
nasageek said:
If your velocity is c then what is the measure of your velocity through time?
The ratio of the times measured by a moving clock and the observers clock, can be viewed as the moving clock's 'velocity through time', in respect to that observer.
 

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