SR equation seems to depend on orientation of the 'light clock'

Click For Summary
SUMMARY

The discussion centers on the derivation of the Special Relativity (SR) equation using a 'light clock' and how the orientation of the light clock affects the perceived time dilation. Participants emphasize that the emitter and detector must be at the same spatial location for accurate time measurement, as highlighted by @Office_Shredder. The conversation reveals that while the perpendicular light clock simplifies calculations, all orientations yield consistent results when accounting for length contraction. Ultimately, the observer's frame of reference is crucial in determining the validity of the light clock's setup.

PREREQUISITES
  • Understanding of Special Relativity concepts
  • Familiarity with light clock mechanics
  • Knowledge of Lorentz contraction
  • Basic grasp of frames of reference in physics
NEXT STEPS
  • Study the derivation of the Lorentz transformation equations
  • Explore the implications of time dilation in various inertial frames
  • Learn about the mathematical representation of light clocks in different orientations
  • Investigate practical applications of Special Relativity in modern physics
USEFUL FOR

Physics students, educators, and anyone interested in the principles of Special Relativity and the nuances of time measurement in different frames of reference.

  • #61
Ibix said:
No - I did read the instructions before commenting.
Sorry about that. I never tested on Android. Please try on a computer, iPhone or iPad.
 
Physics news on Phys.org
  • #62
The OP's question was about the orientation of the mirrors of a light clock. I noticed that my app (https://joekahr.github.io/lightclock/) had a bug that made changing the orientation difficult. It's fixed now.
I also made the Center Clock default settings more intuitive: clock is moving in the Lab frame, clock is centered in the Rocket frame.
 
  • Like
Likes   Reactions: vanhees71 and Dale
  • #63
That's so cool. Interesting that the light pulses always seem to intersect at the center. That surely indicates some sort of symmetry. Maybe that length contraction applies evenly across the direction of travel.
 
  • #64
Grasshopper said:
Interesting that the light pulses always seem to intersect at the center.
They must. You could build an arbitrarily small bomb trigger that would go off if illuminated by all four pulses at once and not if only three or fewer pulses illuminate it. If all four pulses reach the center simultaneously in one frame they must in all, because whether the bomb goes off or not can't be frame dependent.
 
  • Like
Likes   Reactions: vanhees71, Grasshopper and ergospherical
  • #65
Ibix said:
They must. You could build an arbitrarily small bomb trigger that would go off if illuminated by all four pulses at once and not if only three or fewer pulses illuminate it. If all four pulses reach the center simultaneously in one frame they must in all, because whether the bomb goes off or not can't be frame dependent.
Physicists are so dramatic — there's always got to be explosion of some sort 😋
What's wrong with a little electronic counter; I mean, it'd probably be cheaper...
 
  • Haha
  • Like
Likes   Reactions: vanhees71, Grasshopper, Ibix and 2 others
  • #66
  • Like
Likes   Reactions: vanhees71

Similar threads

  • · Replies 34 ·
2
Replies
34
Views
3K
  • · Replies 25 ·
Replies
25
Views
1K
  • · Replies 5 ·
Replies
5
Views
2K
  • · Replies 7 ·
Replies
7
Views
2K
  • · Replies 71 ·
3
Replies
71
Views
8K
  • · Replies 12 ·
Replies
12
Views
2K
  • · Replies 33 ·
2
Replies
33
Views
2K
  • · Replies 14 ·
Replies
14
Views
2K
  • · Replies 21 ·
Replies
21
Views
3K
  • · Replies 12 ·
Replies
12
Views
2K