I know im wrong but just curious

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Discussion Overview

The discussion revolves around the concept of speed, particularly in the context of light and relativity. Participants explore whether two beams of light moving in opposite directions can be considered to separate faster than the speed of light, addressing both theoretical implications and thought experiments related to relative motion.

Discussion Character

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

Main Points Raised

  • Some participants assert that shining a beam of light in opposite directions results in the two points moving apart at twice the speed of light, while emphasizing that this does not imply any object is traveling faster than light.
  • One participant introduces the concept of the "lighthouse paradox" to illustrate the complexities of relative motion and speed.
  • Another participant discusses the implications of measuring speeds at relativistic velocities, noting that classical physics would suggest speeds could exceed light, but modern physics requires the use of Lorentz transformations to accurately calculate relative speeds.
  • A participant provides a mathematical example using the formula for relative velocity in special relativity, demonstrating how speeds approach but do not exceed the speed of light.
  • There is a mention of the twin paradox, highlighting the counterintuitive nature of time dilation and relative motion between observers.
  • Some participants reiterate that all speed is relative, suggesting that different observers in varying inertial frames will perceive different speeds.

Areas of Agreement / Disagreement

Participants express multiple competing views on the interpretation of speed and separation of light beams, with no consensus reached on the implications of these observations. The discussion remains unresolved regarding the nuances of speed in relativistic contexts.

Contextual Notes

Limitations include the dependence on the observer's frame of reference and the complexities introduced by relativistic effects, which are not fully resolved in the discussion.

lastman
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I heard it said that there is no such thing as speed its all relative to a point of reference and also that there is no such thing as anything moving faster than the speed of light. so would a burst of light going in separate directions relative to each other be separating faster than the speed of light? may be a dumb question just curious.
 
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Yes you can shine a beam of light in opposite directions - the two points will be moving apart at the 2x speed of light.
When we say nothing can travel faster than light we have a very specific meaning of 'thing' (involving the transfer of information)

Search for 'lighthouse paradox' for a similair case
 
Last edited:
lastman said:
I heard it said that there is no such thing as speed its all relative to a point of reference and also that there is no such thing as anything moving faster than the speed of light. so would a burst of light going in separate directions relative to each other be separating faster than the speed of light? may be a dumb question just curious.

There is a big problem with taking the difference in speed between two beams of light moving opposite directions. The problem is that if you're moving AT the speed of light, time stops. You can't measure the speed of anything, because you don't pass through time.

Matter cannot travel at the speed of light, though, so that is not a problem at all.

But take a similar problem. Take two space ships moving in opposite directions at 90% the speed of light each. What is the second space ship's speed relative to the first?

If you asked an 18th century physicist, he'd tell you it should be 180% the speed of light (relative velocities add in classical physics). However, a modern physicist knows better. You cannot simply add velocity vectors together in relativity. You have to transform them with a Lorentz Transformation. The resulting velocity is scaled down considerably, due to the speeds involved, and the answer is less than the speed of light.
 
I like Tac-Tics's version of the thought experiment. Let’s calculate the relative speed.

v = (v1+v2)/(1+v1*v2) = (.9+.9)/(1+.9*.9) = 1.8/1.81 = .99

So classical sees the other ship as faster than light. SR sees it as just closer to the speed of light. In order to assume the speed of light is constant, Einstein decided to let time and space be flexible. (Actually Lorentz came up with time dilation.) So to one ship, time in the other ship moves slower. Let’s use a Lorentz transformation to calculate the rate of time.

Gamma = 1/sqrt(1-v^2) = 1/sqrt(1-.99^2) = 7

So the clock on the other ship ticks off 1 second for every 7 of ours. You can actually see them moving slower.

There’s a really big problem with this thought experiment in that it takes time for light to travel between the 2 ships. Accounting for that makes the calculations much more complicated and obscures the point. So I’m discounting that delay and assuming each ship can see the other in real time.

Now here’s the fun part. The other ship sees time move slower on your ship too. How can that be? http://en.wikipedia.org/wiki/Twin_paradox
 
lastman said:
I heard it said that there is no such thing as speed its all relative to a point of reference and also that there is no such thing as anything moving faster than the speed of light. so would a burst of light going in separate directions relative to each other be separating faster than the speed of light? may be a dumb question just curious.
According to an observer who sees one burst of light go west (say) while the other go east, the two light bursts will be seen to separate at twice the speed of light. Meaning that the distance between them will increase at a rate of 2x the speed of light according to that observer. Note that nothing is observed to move faster than light, of course, this is just a calculated separation rate.
 
so would a burst of light going in separate directions relative to each other be separating faster than the speed of light?

yes.
While all the posts here are valid according their frame of reference, when I read you question I thought along the lines of Doc Al (post #5). The key is that all speed IS relative,as implied in the above posts: different observers in varying inertial frames observe different speeds.
 

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