Question about the Lorentz Transformation

In summary, the conversation discusses the concept of proportionality and the use of the inverse square proportional. From equations 22 and 36, it is shown that the constant of proportionality for C/A and vx must have units of 1/v2. This is written as 1/V2 for clarity.
  • #1
Nanas
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0
[PLAIN]http://img710.imageshack.us/img710/4081/capturertt.jpg
[PLAIN]http://img233.imageshack.us/img233/9885/capturejpg2f.jpg
[PLAIN]http://img52.imageshack.us/img52/9140/capturejpg3.jpg
[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​
 
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  • #2
? It is simply using the definition of "proportional".
 
  • #3
This is not my problem

My Problem and question why I we use the inverse square proportional .
 
  • #4
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.
 
  • #5
Thank you.

I understanded it now.
 

FAQ: Question about the Lorentz Transformation

1. What is the Lorentz Transformation?

The Lorentz Transformation is a mathematical formula used in the theory of special relativity to describe how measurements of space and time change for an observer moving at a constant velocity compared to an observer at rest.

2. Why is the Lorentz Transformation important?

The Lorentz Transformation is important because it helps us understand how the laws of physics behave differently for observers in different frames of reference. It is an essential component of Einstein's theory of special relativity, which has had a significant impact on our understanding of the universe.

3. Who developed the Lorentz Transformation?

The Lorentz Transformation was developed by Dutch physicist Hendrik Lorentz in the late 19th and early 20th century as a way to explain the results of experiments that showed the speed of light is constant in all frames of reference.

4. How does the Lorentz Transformation affect our everyday lives?

The effects of the Lorentz Transformation are most noticeable at very high speeds, close to the speed of light. In our everyday lives, these effects are negligible and do not significantly impact our daily experiences. However, the principles of special relativity, which include the Lorentz Transformation, have led to advancements in technology such as GPS systems and particle accelerators.

5. Can you provide an example of the Lorentz Transformation in action?

One example of the Lorentz Transformation in action is the phenomenon of time dilation, where time appears to move slower for an observer traveling at high speeds compared to an observer at rest. This has been confirmed through experiments with high-speed particles and has important implications for space travel and the aging of astronauts.

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