Explaining Length Contraction with the Light Clock Argument

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SUMMARY

The discussion centers on the light clock argument used to explain length contraction in special relativity. Participants clarify that while half-tick events (light pulses reflecting off mirrors) occur at different times for moving clocks due to the relativity of simultaneity, full-tick events (light pulses returning to the source) are perceived as simultaneous by all observers. This distinction is crucial for understanding how length contraction operates within the framework of special relativity. The conversation highlights the importance of recognizing the different implications of simultaneity for events occurring in different spatial locations.

PREREQUISITES
  • Understanding of special relativity principles
  • Familiarity with the concept of simultaneity in physics
  • Knowledge of light clock experiments
  • Basic grasp of Lorentz transformations
NEXT STEPS
  • Study the implications of Lorentz transformations in special relativity
  • Explore the concept of simultaneity in different reference frames
  • Investigate the mathematical formulation of length contraction
  • Learn about the experimental verification of special relativity principles
USEFUL FOR

Students of physics, educators teaching special relativity, and anyone interested in the foundational concepts of modern physics.

kehler
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We're just learning special relativity in class and my lecturer uses the light clock argument (two moving clocks - one parallel and one perpendicular) to explain length contraction.

I didn't quite get one thing about it. My notes say the light beam reflects at different times (i.e. they have different half-ticks) when the clocks are moving but reflects at the same time when the clocks are at rest, and this difference is due to the relativity of simultaneity.
But why doesn't this relavity of simultaneity principle also apply to full ticks?? From what I understand, the argument of length contraction is based on the fact that the clocks have to detect the beam at the same time.

I'm sure I must be understanding something wrongly here. Would appreciate if anyone could point it out to me :)
 
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Realize that the half-tick events--when the light pulses hit the mirrors--take place at different locations, while the full-tick events happen at the same location. And, due to the relativity of simultaneity, events separated in space (along their direction of motion) that are simultaneous in the rest frame will happen at different times according to a moving observer.

But every observer in every frame agrees that the full-tick events--the two light pulses returning to the source--happen simultaneously.
 
Oh right, I see. Thanks Doc Al :)
 

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