Lorentz Transformation Equation Paradox - Find Where I Went Wrong

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SUMMARY

The discussion centers on the misunderstanding of the Lorentz Transformation equation within the context of special relativity. The user identifies a flaw in their reasoning regarding the simultaneity of events in different frames of reference, specifically concerning two light sources (L1, L2) emitted from points 'P' and 'A'. The conclusion emphasizes that simultaneous events in one inertial frame do not translate to simultaneity in another, which is a fundamental principle of Einstein's theory. The user acknowledges their error and seeks clarification on the specifics of their misunderstanding.

PREREQUISITES
  • Understanding of Lorentz Transformation equations
  • Familiarity with the principles of special relativity
  • Knowledge of inertial frames of reference
  • Basic grasp of simultaneity in physics
NEXT STEPS
  • Study the derivation of the Lorentz Transformation equations
  • Explore the concept of simultaneity in different inertial frames
  • Review thought experiments related to special relativity, such as the train and lightning scenario
  • Learn about the implications of time dilation and length contraction in special relativity
USEFUL FOR

Students of physics, educators teaching special relativity, and anyone interested in understanding the nuances of the Lorentz Transformation and its implications in modern physics.

Rahul Mohan P
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Hi All;
I was trying to understand Lorentz Transformation equation and special theory of relativity, but as I compared the derivation with a thought experiment I created I found the whole Lorentz Transformation Equation fails. The details of the problem is given in the pdf file attached. I know I m wrong but I wish you help me to find where I went wrong. Thank You.
 

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I suppose the problem starts here: "Two light sources (L1, L2) are emitted inside the spacecraft from point ‘P’ and point ‘A’ simultaneously as shown in figure."
Simultaneous events in one frame of reference are not necessarily simultaneous in another frame of reference.
 
Rahul Mohan P said:
I know I m wrong but I wish you help me to find where I went wrong.

Please start a new thread and use the PF LaTeX feature to post your equations. Attachments should not be used for this purpose. Thread closed.
 

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