Is Brian or Jim Wrong? (the science of Dr. Who)

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Discussion Overview

The discussion centers around the relativistic effects of time dilation as presented in a scenario involving characters from Dr. Who. Participants analyze the implications of Jim traveling at 99.94% the speed of light for a specified duration, comparing the time experienced by Jim versus the time observed from Earth. The conversation explores the calculations and interpretations of time dilation and relative speeds.

Discussion Character

  • Debate/contested
  • Mathematical reasoning
  • Technical explanation

Main Points Raised

  • One participant claims that if Jim travels at 99.94% c for 10 years, the time observed from Earth should be longer than 10 years, suggesting a calculation error in the original video.
  • Another participant questions the source of the 29 years mentioned in the video and the factor of 28.87 used for time dilation, seeking clarification on these values.
  • Some participants assert that the claim about processes changing at a slower rate when observed in motion is incorrect, labeling it as nonsense.
  • There is a contention regarding the interpretation of Jim's speed from Earth's perspective, with one participant arguing that it cannot be slower than 99.94% c, while another counters that the difference in observed times does not imply a difference in relative speed.
  • One participant emphasizes the importance of accuracy in scientific presentations, suggesting that popular science often contains errors.
  • Corrections are made regarding the calculations of distances and times, with one participant noting an error in the distance Jim travels as perceived from Earth.

Areas of Agreement / Disagreement

Participants express disagreement on several points, particularly regarding the interpretation of time dilation and the calculations presented. There is no consensus on the correctness of Brian's claims or the implications of the time dilation effects discussed.

Contextual Notes

Participants note that the calculations depend on the assumptions made about the scenario, including the speed of travel and the time experienced by Jim versus the time observed from Earth. Some mathematical steps and definitions remain unresolved, contributing to the ongoing debate.

AtoMick-u235
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i made a comment on youtube =

It's only 4 minutes long, see the last minute

If Jim went away at 99.94 c, for 10 years, and we see him take 29 years, 1) what doe's that mean, it means that Jim's apparent speed from Earths veiw has to be slower than 99.94 c, because it took longer, it equals just 34.48 c, someone help me out here !!, , All processes that change with time, change at a slower rate when observed in motion, even speed, , you have to insert the new time in, S = D \ T, , ,
99.94% C = 28.87 x time dilation, so i don't know where Brian got 29 years from 10, , , it should be 288.7 years, , , 2 ) or maybe for Jim, he could be away for just 10 \ 28.87 = 0.37 years, so thats about 4 months, and from earths veiw we see him take 10 years,, , , all i can think is that brian got it wrong, it should be 1 year instead of 10, , ,

I think option 2 is correct, , ,
 
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AtoMick-u235 said:
If Jim went away at 99.94 c, for 10 years, and we see him take 29 years
Where does 29 years come from?

AtoMick-u235 said:
99.94% C = 28.87 x time dilation
Where does 28.87 come from? What does this mean?
 
AtoMick-u235 said:
All processes that change with time, change at a slower rate when observed in motion, even speed, , you have to insert the new time in, S = D \ T, , ,
This is nonsense.
 
PeterDonis said:
Where does 29 years come from?Where does 28.87 come from? What does this mean?
Brian rounded 28.87 to 29 years, , ,i just put in the correct value
 
PeterDonis said:
This is nonsense.
Yes, , like i said Brian has it wrong
 
AtoMick-u235 said:
Yes, , like i said Brian has it wrong
What you posted in post #3 that I said was nonsense, is not something Brian claimed in the video, as far as I can tell. It's something you claimed in your OP. And it's wrong. See further comments below.

AtoMick-u235 said:
Brian rounded 28.87 to 29 years
Ok. You are right that that's not correct given the other parameters he gives. See below.

AtoMick-u235 said:
i just put in the correct value
If you mean the figure of 288.7 years that you gave in your OP, yes, that is correct for the total round trip travel time as seen from Earth, given that the total travel time by Jim's clock is 10 years and that his speed relative to Earth is 0.9994c (which means a gamma factor of 28.87).

However, when you say...
AtoMick-u235 said:
Jim's apparent speed from Earths veiw has to be slower than 99.94 c
...you are wrong. The difference in travel times as seen by Earth clocks vs. Jim's clock does not mean the speeds are different; the relative speed is the same in both frames. The difference is the distance that is traveled.

In Jim's frame, the Earth moves away from him for 5 years (half of the total 10 year trip time), meaning that at its furthest Earth is just short of 5 light years away from Jim in Jim's frame.

But in the Earth frame, Jim moves away for 14.435 [Edit-144.35] years, so at his furthest, Jim is just short of 14.435 [Edit-144.35] light years away from Earth in the Earth frame.
 
PeterDonis said:
What you posted in post #3 that I said was nonsense, is not something Brian claimed in the video, as far as I can tell. It's something you claimed in your OP. And it's wrong. See further comments below.Ok.If you mean the figure of 288.7 years that you gave in your OP, yes, that is correct for the total round trip travel time as seen from Earth, given that the total travel time by Jim's clock is 10 years and that his speed relative to Earth is 0.9994c (which means a gamma factor of 28.87).

However, when you say...

...you are wrong. The difference in travel times as seen by Earth clocks vs. Jim's clock does not mean the speeds are different; the relative speed is the same in both frames. The difference is the distance that is traveled.

In Jim's frame, the Earth moves away from him for 5 years (half of the total 10 year trip time), meaning that at its furthest Earth is just short of 5 light years away from Jim in Jim's frame.

But in the Earth frame, Jim moves away for 14.435 years, so at his furthest, Jim is just short of 14.435 light years away from Earth in the Earth frame.
In option 1) i'm just stating brians reasoning, and that it is wrong , , and option 2) is correct
 
@AtoMick-u235 the moral of this story is never ever trust pop-sci presentations. They get a lot of stuff right a lot of time time but they get enough wrong that they are not to be trusted. They are entertainment, not science.
 
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AtoMick-u235 said:
In option 1) i'm just stating brians reasoning
No, you're not. None of this...

AtoMick-u235 said:
1) what doe's that mean, it means that Jim's apparent speed from Earths veiw has to be slower than 99.94 c, because it took longer, it equals just 34.48 c, someone help me out here !!, , All processes that change with time, change at a slower rate when observed in motion, even speed, , you have to insert the new time in, S = D \ T, , ,
...is said by Brian in the video. It's stuff you made up yourself.

The only incorrect statement Brian makes in the video is the 29 years; given the other parameters, it should be 288.7 years. I think that's more likely than Brian making a mistake and meaning to say 1 year instead of 10 (which would make 29 years correct), because he says Jim flies away for 5 years and then back for 5 years by his own clock, so he would have had to make several mistakes while he was describing the scenario, not just one. Whereas if he just mistakenly said 29 years instead of 288.7 years, that's just one mistake.
 
  • #10
PeterDonis said:
in the Earth frame, Jim moves away for 14.435 years, so at his furthest, Jim is just short of 14.435 light years away from Earth in the Earth frame.
Now it's me forgetting to put in an extra factor of 10. It should be that Jim moves away for 144.35 years, so at his furthest he is just short of 144.35 light years from Earth in the Earth frame.
 
  • #11
After moderator review, this thread is closed.
 

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