What is Lorentz transformation?

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Discussion Overview

The discussion revolves around the concept of Lorentz transformation within the context of special relativity. Participants explore its definition, implications, and comparisons to other transformations, while also addressing the challenges of understanding relativity.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested

Main Points Raised

  • Some participants describe the Lorentz transformation as analogous to a rotation in 4-D space-time, preserving the length of 4-vectors.
  • Others explain that the Lorentz transformation allows observers in different inertial frames to compare observations, accounting for the constancy of the speed of light.
  • A participant mentions that the Lorentz transformation is essential for understanding how physical laws remain consistent across different velocities.
  • Another point raised is the concept of Lorentz contraction, where objects moving relative to an observer appear shorter in the direction of motion.
  • Some participants express frustration with the difficulty of finding concise information online, suggesting that a deeper engagement with the material is necessary to grasp the concepts of relativity.

Areas of Agreement / Disagreement

There is no clear consensus on the best way to understand or explain the Lorentz transformation, with multiple competing views and approaches presented by participants. Some express the need for more detailed reading, while others emphasize the importance of concise explanations.

Contextual Notes

Participants highlight the complexity of the Lorentz transformation and its implications in special relativity, noting that understanding may require significant dedication and study. There are also references to the limitations of online resources in providing straightforward answers.

Who May Find This Useful

This discussion may be useful for individuals seeking to understand the Lorentz transformation and its role in special relativity, as well as those interested in the challenges of learning complex scientific concepts.

pigman70
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Iv been reading about general and special relativity and then I came across Lorentz transformation but I can't seem to find out what it is could you please help
 
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Hi, What I know is that : Just like a rotation is 3-D space, Lorentz transformation is a rotation in 4-D space-time.
 
a rotation in 3 space, is a transformation upon which the length of the initial vector is unchanged.
a Lorentz transformation, is a unique transformation in 4 space that preserves the length of the 4-vector of any line in 4 space, and it necessarily holds if there is a limit to translational velocity.
 
pigman70 said:
Iv been reading about general and special relativity and then I came across Lorentz transformation but I can't seem to find out what it is could you please help

There is this really neat facility on the internet called Google Search. You should learn how to use it.

https://www.physicsforums.com/blog.php?b=3588
 
Last edited by a moderator:
Try wikipedia,
http://en.wikipedia.org/wiki/Lorentz_transformation

The Lorentz transform is a way to bring observers of different velocities at different places together so they can 'compare notes'...see things from a common frame. It is a way to take into account the fact that the speed of light is constant,and finite, but distance and time are not constant!

As a simplistic example, if you are right alongside a house and a friend is a mile away how do you compare observations about the size of the house?? You need some sort of a transform, an adjustment to reflect your different positions. In relativity this gets more complicated since distance and time are not constant.
 
pigman70 said:
Iv been reading about general and special relativity and then I came across Lorentz transformation but I can't seem to find out what it is could you please help
The Lorentz Transformation is how you convert the four coordinates of an event in one inertial Frame of Reference into the four coordinates for the same event in a second inertial Frame of Reference moving at a constant speed with respect to the first Frame of Reference.
 
phinds said:
There is this really neat facility on the internet called Google Search. You should learn how to use it.

I have been on there but have not found anything
 
pigman70 said:
I have been on there but have not found anything

That's quite astounding, since I went there and found far more information than I have any interest in reading, starting off with a quite long Wikipedia article. Obviously you did not do a Google search for "Lorentz transfromation" if you found nothing. What DID you search for?
 
The key idea is that you can drink coffee in an aeroplane moving at constant speed just as well as when you are stationary on the ground, as long as the aeroplane is flying at a constant velocity relative to the ground. This means that moving very fast is just as good as standing still. This means the laws of physics "look the same" under a "change in velocity". The Lorentz transformation is the proper way to "change velocity" so that the law of physics "look the same". (Prior to special relativity, it was thought that the Galilei transform did this, but it turns out to be only a good approximation to the Lorentz transformation for slow speeds.)
 
  • #10
In Special Relatiovity an important part of the Lorentz transformation is the Lorentz contraction. If someone is moving relative to you, then his dimensions in the direction of motion will contract. His rocket ship will be shorter in your reference frame. If her approached c relative to you, his rocket would contract to a flat disc. But all linear motion is relative, and he will see you contracted too.

Mike
 
  • #11
phinds said:
That's quite astounding, since I went there and found far more information than I have any interest in reading, starting off with a quite long Wikipedia article. Obviously you did not do a Google search for "Lorentz transfromation" if you found nothing. What DID you search for?
i did find the wikapedia aster but i really did not want to read the whole thing to find out 1 question so it was easier to do it this way
 
  • #12
pigman70 said:
i did find the wikapedia aster but i really did not want to read the whole thing to find out 1 question so it was easier to do it this way
You got a whole lot of answers to your 1 question but did you get the answer you were looking for?
 
  • #13
no way, tbh relativity can only be understood by dedication, if you don't feel like reading things, then you won't learn it
 
  • #14
The OP has his answer, and I foresee nothing but piling on if this continues.
 

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