How to certify that the proper legth of light is zero

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SUMMARY

The discussion centers on the concept of proper length in the context of general relativity, specifically addressing the assertion that the proper length of light is zero. Participants confirm that light does not possess a rest frame, which is essential for defining proper length. The Lorentz transformation is mentioned as a tool for understanding how measurements change across inertial frames, but it is clarified that light's constant speed at c means it cannot have a proper length. Thus, the conclusion is that light's proper length is inherently zero due to its nature.

PREREQUISITES
  • Understanding of general relativity concepts
  • Familiarity with the Lorentz transformation
  • Knowledge of the speed of light (c) and its implications
  • Basic grasp of proper length and rest frames
NEXT STEPS
  • Study the implications of the Lorentz transformation in detail
  • Explore the concept of proper length in various physical contexts
  • Investigate the nature of light and its behavior in different inertial frames
  • Review foundational principles of special relativity
USEFUL FOR

Students of physics, particularly those studying general relativity and special relativity, as well as educators and anyone interested in the properties of light and its behavior in different reference frames.

DrHAO
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Homework Statement


I'm a new one on general relativity
there are two prolems:
first how to certify the proper length of light is zero
second ,how to certify proper length of light ,do not change in all inertial frame

Homework Equations


for second question, probally Lorentz transform,

The Attempt at a Solution


for the first
ds2=-c2dt2+dl2
dl/dt = 0
ds=0
I have no idea on Lorentz transform of delta s
 
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DrHAO said:
... how to certify the proper length of light is zero
Proper length is the length of an object in its rest frame. Light doesn't HAVE a rest frame so doesn't have a proper length, unless you're using some different definition.
 
phinds said:
Light doesn't HAVE a rest frame

Yeah, from the moment a photon is created, it is instantly and always moving at c.
 

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