Time Dilation Explained by Stephen Hawking: 1 Day = 1 Year?

Click For Summary
SUMMARY

The discussion centers around the concept of time dilation as explained in a video featuring Stephen Hawking, specifically addressing the claim that traveling at 99% of the speed of light (0.99c) results in one day on the ship equating to one year on Earth. Participants assert that this claim is inaccurate, suggesting that at 0.99c, the correct time dilation factor should yield a ratio closer to seven days on Earth. Further calculations indicate that a speed of 0.999996c is necessary to achieve a 1:365 ratio. The conversation highlights potential misinterpretations of the video's content.

PREREQUISITES
  • Understanding of Einstein's theory of relativity
  • Familiarity with the concept of time dilation
  • Basic knowledge of relativistic physics
  • Ability to interpret relativistic Doppler effects
NEXT STEPS
  • Research the mathematical derivation of time dilation in special relativity
  • Explore the implications of traveling at relativistic speeds
  • Study the effects of relativistic Doppler shift on observed frequencies
  • Examine case studies involving high-speed space travel and time perception
USEFUL FOR

Physicists, students of relativity, science communicators, and anyone interested in the implications of high-speed travel on time perception.

Serious Max
Messages
37
Reaction score
1

Here (at ~3:50) they say if the ship reaches 99% of the speed of light, a single day on the ship = year on Earth. But it looks like it's going to be one week on Earth. http://cosmology.com/images/3TimeDilationTable1.jpg Is it just a simplification of some sort in the video?
 
Physics news on Phys.org
I agree with you. At 0.99c, time dilation should only be a factor of seven (must...resist...Jeffrey...Hunter...impression). Even accounting for relativistic Doppler effects I only get a factor of 14.

I make it that they need to travel at 0.999996c for a 1:365 ratio.

I'm a little surprised at Hawking lending his name to something with such a straightforward error in it, so I suppose it's possible we're both misinterpreting the video somehow.
 
  • Like
Likes   Reactions: Serious Max

Similar threads

  • · Replies 26 ·
Replies
26
Views
2K
  • · Replies 25 ·
Replies
25
Views
2K
  • · Replies 18 ·
Replies
18
Views
1K
  • · Replies 18 ·
Replies
18
Views
2K
  • · Replies 16 ·
Replies
16
Views
3K
  • · Replies 115 ·
4
Replies
115
Views
9K
  • · Replies 4 ·
Replies
4
Views
2K
  • · Replies 5 ·
Replies
5
Views
2K
  • · Replies 21 ·
Replies
21
Views
3K
  • · Replies 4 ·
Replies
4
Views
2K