Lorentz transformation Definition and 371 Threads

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...