Question about the Lorentz Transformation

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Discussion Overview

The discussion revolves around the Lorentz Transformation, specifically focusing on the substitution and proportional relationships involved in the equations presented in lecture notes from Macquarie University. Participants explore the definitions and implications of proportionality in the context of these transformations.

Discussion Character

  • Technical explanation
  • Debate/contested

Main Points Raised

  • One participant seeks clarification on how to achieve a specific substitution related to the Lorentz Transformation.
  • Another participant suggests that the issue can be addressed by understanding the definition of "proportional."
  • A different participant questions the rationale behind using inverse square proportionality in the context of the transformation.
  • Further, a participant explains that certain equations must maintain unit consistency, indicating that a constant of proportionality is necessary to ensure dimensional correctness.
  • A later reply expresses understanding of the explanation provided, indicating some resolution for that participant.

Areas of Agreement / Disagreement

The discussion contains multiple competing views regarding the use of proportionality and the specific substitutions in the Lorentz Transformation. There is no consensus on the best approach to the problem presented.

Contextual Notes

Participants reference specific equations and their units, but the discussion does not resolve the underlying assumptions or definitions that may affect the interpretations of these equations.

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[PLAIN]http://img710.imageshack.us/img710/4081/capturertt.jpg
[PLAIN]http://img233.imageshack.us/img233/9885/capturejpg2f.jpg
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[PLAIN]http://img813.imageshack.us/img813/2919/capturejpg4.jpg
[PLAIN]http://img171.imageshack.us/img171/7805/capturejpg5.jpg

This is From Macquarie

Lecture Notes prepared by
J D Cresser
Department of Physics
Macquarie UniversityMy Question How can I Get This substitution.

Thanks​
 
Last edited by a moderator:
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? It is simply using the definition of "proportional".
 
This is not my problem

My Problem and question why I we use the inverse square proportional .
 
From Eq 22, A is unitless.

From Eq 36, C/A must have units of 1/vx so that A on the LHS is unitless.

So if C/A is proportional to vx, the constant of proportionality is chosen to have units of 1/v2. The constant of proportionality is written as 1/V2 to make this clear.
 
Thank you.

I understanded it now.
 

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