Lorentz Transformations: Understanding and Deriving Acceleration Expressions

In summary, the conversation is about someone needing help with deriving the expressions for Lorentz transformation of acceleration. Other users suggest using the chain rule and referencing a book for more information. The original person expresses gratitude for the help offered.
  • #1
univers
9
0
hi all , i need some help concerning the expressions for lorentz transformation of the acceleration. i couldn't derive them?. thanks. :cry:
 
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  • #2
try to us the chain rule, mathematically, lorentz transf... is a common change of coordinates... and are not so difficult... they are linear ;D
 
  • #3
Welcome to PF!

Hi univers! Welcome to PF! :smile:

Show us the question, and what you've tried, and where you're stuck, and then we'll know how to help. :wink:
 
  • #4
univers said:
hi all , i need some help concerning the expressions for lorentz transformation of the acceleration. i couldn't derive them?. thanks. :cry:
Have a look at
A.P. French, Special Relativity, (Nelson, 1968) pp, 152-154
Probably there more recent editions!
 
  • #5
bernhard.rothenstein said:
Have a look at
A.P. French, Special Relativity, (Nelson, 1968) pp, 152-154
Probably there more recent editions!

thank u very much.
:smile:
 
  • #6


tiny-tim said:
Hi univers! Welcome to PF! :smile:

Show us the question, and what you've tried, and where you're stuck, and then we'll know how to help. :wink:
thank u. it is kind from u
 

1. What are Lorentz transformations?

Lorentz transformations are mathematical equations that describe how space and time change for an object moving at high speeds. They were developed by Dutch physicist Hendrik Lorentz and are a fundamental part of Albert Einstein's theory of special relativity.

2. How do Lorentz transformations relate to acceleration?

Lorentz transformations can be used to calculate an object's acceleration as it approaches the speed of light. They are used to derive the expressions for acceleration in special relativity, which show that an object's mass increases and time slows down as it accelerates.

3. What is the significance of understanding Lorentz transformations?

Understanding Lorentz transformations is crucial for comprehending the effects of high speeds on objects in the universe. They allow us to accurately describe and predict the behavior of objects in motion, and are essential for modern technologies such as GPS systems and particle accelerators.

4. How can one derive acceleration expressions using Lorentz transformations?

Acceleration expressions can be derived by applying Lorentz transformations to the equations for velocity and time. This involves using the Lorentz factor, which takes into account the effects of time dilation and length contraction on an object's motion.

5. Are Lorentz transformations only applicable to objects moving at the speed of light?

No, Lorentz transformations can be used to describe the behavior of any object moving at high speeds, not just those approaching the speed of light. They are particularly useful for objects that are moving at a significant fraction of the speed of light, where the effects of special relativity become more noticeable.

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