Derivation of lorentz transformation

[ash64449]

Hello friend,

I want to know how to derive lorentz transformation. Even though i have book that derived lorentz transform,i am not able to understand. I hope you give me an easy derivation of it!

 

[ghwellsjr]

Hello friend,

I want to know how to derive lorentz transformation. Even though i have book that derived lorentz transform,i am not able to understand. I hope you give me an easy derivation of it!

Why do you want it? I have never bothered to understand how to derive the Lorentz Transformation. I trust that it is correct. If you want to understand Special Relativity, you can leave that derivation for some time in the future after you have mastered how to use the LT. Just my opinion. I'm sure others will point you to a great many links on the ways that they have learned to do the derivation and you'll study them all and still not understand the derivation. Fortunately, using the LT is very easy and that's the important thing.

 

[strangerep]

I want to know how to derive lorentz transformation. Even though i have book that derived lorentz transform,i am not able to understand. I hope you give me an easy derivation of it!

You would get better help if you say which book and what you did not understand about the derivation therein. E.g., did you understand some of it? Did you understand its starting point? Or did you understand nothing at all?

Also, you should say what level of maths and physics you have already studied, so people here can understand your background.

 

[1977ub]

This animation seems good:

 

[sardar]

Hi there,

The Lorentz transformation is a mathematical formula that describes how time and space coordinates change between two different reference frames that are moving relative to each other at a constant velocity. It was first derived by Dutch physicist Hendrik Lorentz in the late 19th century and later expanded upon by Albert Einstein in his theory of special relativity.

To derive the Lorentz transformation, we start with the basic postulates of special relativity:

1) The laws of physics are the same in all inertial reference frames (meaning reference frames that are moving at a constant velocity).

2) The speed of light is constant in all inertial reference frames.

From these postulates, we can derive the following equations:

x' = γ(x - vt)
y' = y
z' = z
t' = γ(t - vx/c^2)

Where x, y, z, and t are the coordinates in the original reference frame, x', y', z', and t' are the coordinates in the moving reference frame, v is the relative velocity between the two frames, and c is the speed of light.

To understand how these equations were derived, we can consider a thought experiment where we have two observers, one in the original reference frame (let's call them A) and one in the moving reference frame (let's call them B). Observer A is at the origin of their reference frame and observer B is moving at a constant velocity v in the positive x direction.

First, let's consider the x coordinate. Observer A measures the position of a point in space at time t as x. However, observer B measures the same point at the same time t as x'. We can use the formula for velocity (v = Δx/Δt) to relate these two measurements:

v = (x' - x)/Δt

Rearranging this equation, we get:

x' = x + vt

Next, let's consider the t coordinate. Observer A measures the time at the point in space as t. However, observer B measures the same time t as t'. We can use the formula for velocity again to relate these two measurements:

v = (x' - x)/Δt

But since we are dealing with the speed of light, we can replace v with c:

c = (x' - x)/Δt

Rearranging this equation and using the formula for velocity again, we