Lorentz Transformation (simplified)

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SUMMARY

The discussion centers on a simplified derivation of the Lorentz transformation, presented without the use of tensors. The author emphasizes logical arguments over rigorous mathematics, aiming to clarify the connection between time dilation and length contraction as foundational concepts for deriving the transformation. Feedback suggests that the initial presentation could be improved by explicitly stating the starting point of time dilation and length contraction to avoid confusion. Overall, the approach is deemed valid, though clarity in exposition is recommended.

PREREQUISITES
  • Understanding of time dilation in special relativity
  • Familiarity with length contraction concepts
  • Basic knowledge of Lorentz transformations
  • Ability to interpret logical arguments in physics
NEXT STEPS
  • Research the mathematical derivation of Lorentz transformations
  • Explore the implications of time dilation in practical scenarios
  • Study length contraction and its effects on moving objects
  • Examine other sources that discuss Lorentz transformations without tensors
USEFUL FOR

Students of physics, educators explaining special relativity, and anyone interested in alternative derivations of the Lorentz transformation.

emroz92
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We know that many books have deduced Lorentz transformations through rigorous maths and they add little to our visions about what's going on. But in the pdf I have attached, I have tried to deduce this transformation with logical arguments. It is really simple and no tensors have been included.

Please see and let me know if I am wrong in any steps. Also do notify me if the same thing is done in any other sources.

Thanks
 

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It seems fine to me. I would suggest trying to make it more clear from the start that you're starting from time dilation and length contraction and then deriving the Lorentz transformation. My initial reaction to the first page was that you were claiming to derive the Lorentz transformation by assuming the Lorentz transformation. Most physicists probably think of time dilation and length contraction as interpretations of or corollaries to the Lorentz transformation. There's nothing logically wrong with going the other direction, but it wasn't immediately obvious to me that that was what you were doing.
 

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