Lorentz transformation Definition and 382 Threads

Consider, please, that you have derived the Lorentz transformation for the space coordinates x=g(V)[x'+Vt'] (1) Taking into account that as a result of the Einstein clock synchroniation procvedure x/c=t, x'/c=t' we obtain dividing both sides of (1) by c...

when is a derivation of the Lorentz transformation "good" There is an inflation of derivations of the Lorentz transformation from "simple", "fastest"... When is in your oppinion such a derivation good? In my oppinion it should fulfill the following conditions: 1. It should be based on the...

When people discuss the Lorentz transformation, the start talking about "groups " of transformations SL(2,C), SO(1,3) etc. Looks impressive! Where can I learn this stuff too? I asked a similar question in the Linear Algebra section but it gets less traffic

Hey, I am new... A good friend of mine told me that i could come here if i ever needed help in physics... Well now is really a bad time to tell you guys this... but i have a final exam in 2 days... Im having a problem to solve this question maybe you could guide me some how Quote " A...

I find in the literature of the subject: Lorentz transformations and Lorentz-Einstein transformations. The use of one or of the other could lead to a difference in interpretation? Thanks

Homework Statement Star Trek Question: An enemy Klingon spaceship moves away from Earth at a speed of 0.80c. The Starship Enterprise gives chase and pursues at a speed of 0.90c relative to the Earth. Observers on Earth see the Starship Enterprise overtaking the enemy ship at a relative speed...

How do I derive the equation for Simultaneityfrom one of the lorentz transformation. If you can help me with that, please help with time dilation as well. The textbook focused mainly on the mathematically derivation without using the lorentz transformations, and I cannot find any answers...

The constancy of the speed of ligth is a result of the Maxwell's equations. And the Lorentz transformation is an invariance of Maxwell's theory that was known before the special theory of relativity was discovered. Why and how did the physics of the 19th century (particularly Maxwell) built...

Can i know how does the Lorentz transformation equations are derived? x'=Y(x-vt) y'=y z'=z t'=Y(t-vx/c^2) Especially the equation for t', what is term vx/c^2 there implies? thank you for answering me. -Jeno-

Consider two reference frames, S and S', moving with speed v (<c) with respect to one another along the x direction. If a certain object moves with velocity u (u<c) with respect to S, and velocity u' with respect to S', use the velocity addition equations (in three dimensions) to show that u'<c.

Still the "World's Fastest Derivation of the Lorentz Transformation" http://arxiv.org/abs/physics/0606046 ...apparently in response to A faster than "World fastest derivation of the Lorentz transformation" http://arxiv.org/abs/physics/0602153 , ...which is apparently a challenge to...

I visited this web site; http://www.electrodynamics-of-special-relativity.com that suggests that there is no contradiction between quantum mechanics and special relativity. The argument is that the full implications of the Lorentz Transformation have never been fully developed. The basic theory...

I'm reading Einstein's "Relativity, the Special and General Theory" And it just talked about the Lorentz transformations, but I don't quite understand what it's used for. I understand how the time dilation and length contraction equations are derived from it but I don't understand how to use the...

Consider an object of mass m at rest in S acted upon by a force F with components Fx and Fy. Sys tem S' moves with instantaneousvelocity v in teh x direction. Defining the force with F=d/dt (gamma mv), and using the Lorentz velocity transformation, show that a0 F'x=Fx,b0 F'y=Fy/gamma I show my...

I am not sure wheather matrix T^v_u = {T^u_v}^-1 or T^v_u = {T^v_u} is true? T is a lorentz transformation for 4 vector~ Yuk

Hi, Today in QFT class, we examined an infinitesimal Lorentz transformation. From this we showed that a LT is represented by an anti-symmetric matrix. But this means that the diagonal elements should all be zeros. My question is how this reduces to the standard LT with gamma, gamma...

where does t`=(t-vx/c^2)/(1-v^2/c^2)^1/2 come from?

Can someone derive or direct me towards a site that derives the following Lorentz Transformation: t = \gamma t' + \frac{v}{c^2}\gamma x'

Here is a little puzzle that I'm sure I should know the answer to, but my brain is failing me. Consider a particle with moving with speed u along the x-axis in some frame S. So its (relativistic) momentum is p_x=\gamma_umu. Its DeBroglie wavelength is \lambda=h/p. Now consider the same...

A red light flashes at position xr = 3.00 m and time tr = 1.00*10^-9s, and a blue light flashes at xb = 5.00 m and tb = 9.00*10^-9s, all measured in the S reference frame. Reference frame S' has its origin at the same point as S at t = t' = 0; frame S' moves uniformly to the right. Both...

I am now studying the Lorentz transformation which shares some commonality with the Galiliean transformation. What I'm confused about is how they only seem to transform the x axis. It will help if I write it out. The Galilean transformation looks like: x' = x-vt y' = y z' = z t' = t...

Is the limit for lorentz transformation when v/c -> 1 known? or Is there a proof which says that such a limit doesn't exist? Please throw light on the above questions.

I have a harmless question which involves using the Lorentz transformations. Suppose that I am an observer in reference frame S, which is stipulated to be an inertial reference frame, and i am located at the origin of the frame (0,0,0). A laser also located at (0,0,0) suddenly fires a photon...

This paper by Robert A. Nelson derives an exact, explicit coordinate transformation between an inertial frame of reference and a frame of reference having an arbitrary time-dependent, nongravitational acceleration and an arbitrary time-dependent angular velocity...

Lorentz Transformation --- Exponential factor, why not Proportional? When using the Lorentz Transformation, the increase in mass, or the decrease in space-time is an Exponential, why can't it be Proportional? What is the logic behind that? For instance, if SR had a proportional decrease in...

how does one do a lorentz transformation in the x-direction with v = c/sqrt2. I thought i knew what i was doing with lorentz transformations but now i am confused. While we're at it. Can someone give me a good definition of lorentz transformation. Thanks :confused:

Can someone help me with this, How fast, or should I say near the speed of light would someone have to be to see in their time only 6 days go by, but to someone at rest relative to them see 15 billion years. You don't have to work it just give me the equation. Is it just the lorentz...

I don't know which math forum to put this in but perhaps someone here could help out. I want to figure out the mathematics behind the Lorentz Transformation so I can understand it better. I've got a copy of Einstein's Relativity which was reprinted by Three Rivers Press a few years ago...

Lorentz Transformation says x'=\frac{x-ut}{\sqrt{1-u^2/c^2}} Does its derivative \frac{dx'}{dt}=\frac{dx/dt-u}{\sqrt{1-u^2/c^2}} give the velocity addition equation?

HI guys first post :cool: I need to show that B^2-E^2/C^2 is invariant under Lorentz transformation (E and B are electromagnetic fields) now: B^2-E^2/C^2=B^2_x+B^2_y+B^2_z-E^2_x/C^2-E^2_y/C^2-E^2_z/C^2) and E'_x=E_x E'_y=\gamma(E_y-\frac{v}{c}B_z)...

I am trying to understand how to use the lorentz transformation to calculate things and I have a few questions about it. Suppose I have a circle of radius 1 in frame K which is at rest. Frame k' is moving at velocity v relative to frame k. What would the circle look like to someone in frame...

We have a theoretical issue here. There is a misconception floating around PF about the relation of the cosmological redshift to present and past recession velocity. If a redshift is Doppler in origin then in the context of Special Relativity one has Einstein's correction of the Doppler...