Lorentz transformation Definition and 371 Threads

Hello friend, Can you give me an example that shows simultaneous events in one reference frame not simultaneous in other reference frame with the help of lorentz Transformation?

So, I'm trying (keyword trying) to learn a bit of special relativity on my own via the Stanford lectures on Youtube by Leonard Susskind, but I'm running into a problem. According to the lectures, for two different reference frames with co-ordinates marked (x, t) and (x', t'), the latter...

i have a quick question, that is according to the lorentz transformation, the moving frame will have the longer time than the frame in the rest. so is that means if I'm on a moving car for my whole life, my time will greater than those who are in the rest relative to the earth?

Is there a simple way of deriving Lorentz transformation? I don't find the typical derivations in textbook so convincing, which seems to use too many intuitive postulations...

Physics books rarely make the distinction between active or passive Lorentz transformations. The usual Lorentz transformations of the spacetime coordinates in two different inertial frames seem to me to be passive transformations, because by definition passive transformations are coordinates...

Homework Statement Two spaceships A and B are launched from a point X, in opposite directions. At time t=15 minutes, spaceship A crashes. The velocity of the spaceships relative to X is 1.3x10⁸m/s. How far did the collision happen from B, as observed by astronauts on the spaceship...

I would like to get a detailed description, how the world looks for a moving observer in Special Relativity compared to the way it looks for an observer at rest. Do you know any reference, where I can find such a description? Can you maybe even tell me, where to find two pictures of the sights...

Homework Statement I am trying to prove that Maxwell's laws are consistent with special relativity if one frame is moving in the x direction with another. Homework Equations In this case, I know that \frac{\partial}{\partial x'} = \gamma \frac{\partial}{\partial x} + \frac{\gamma v}{c^2}...

I have 2 coordinate systems which move along ##x,x'## axis. I have derived a Lorentz transformation for an ##x## component of momentum, which is one part of an 4-momentum vector ##p_\mu##. This is my derivation: \scriptsize \begin{split} p_x &= mv_x \gamma(v_x)\\ p_x &= \frac{m...

I'm just getting started on relativity. I watched this a couple of day ago - But I didn't like the way Lorentz Transformation was derived (the assumption about the nature of the final transformations, to be more specific). I tried reading Einstein's original paper for a better derivation but...

Homework Statement A Particle moves with uniform speed V'y = Δy'/Δt' along the y'-axis of the rocket frame. Transform Δy' and Δt' to laboratory displacements Δx, Δy, and Δt using the Lorentz transformation equations. Show that the x-component and the y-component of the velocity of this...

I am currently looking a bit into special relativity. Consider the matrix \Lambda=\left( \begin{array}{cc} \gamma & -\gamma \beta c \\ -\gamma \beta c & \gamma \end{array} \right) where \beta=\frac{v}{c},\quad \gamma=\frac{1}{\sqrt{1-\beta^2}} and c is the speed of light. Then, an observer...

Homework Statement Ok so a Kaon (m = 500MeV) is accelerated from rest along the z-axis to a final energy of 5GeV, I need to find two factors of a lorrentz transformation β and γ and write a four vector for this. Homework Equations β=p/E γ=E/m The Attempt at a Solution I have...

Concerning Rapidity, if tanh(Fi) = v/c, can it be concluded in general that the relative angle of two frames in combination with Lorentz Transformation is tan(theta) = tanh(Fi) = v/c, where theta is the relative angle?

Homework Statement Given that the derivative θμ transforms as a covariant vector ,show that θμ transforms as a contravariant vector. Homework Equations Please look the attachement The Attempt at a Solution Does anyone know how i should go to prove it ?Is it just a trivial...

Homework Statement Show that the following is a Lorentz Transform: \Lambda _{j}^{i}=\delta _{j}^{i}+v^iv_j\frac{\gamma -1}{v^2} \Lambda _{j}^{0}=\gamma v_j , \Lambda _{0}^{0}=\gamma , \Lambda _{0}^{i}=\gamma v^i where v^2 =\vec{v}\cdot \vec{v}, and \delta _{j}^{i} is the Kronecker Delta...

Hello, I was just going through some writings on the web reg.Lorentz transformation. Even considering the derivative factor,d, is anyway Lorentz transformation is some way, linked with Pythagoras' theorem? Correct me if I am wrong? -- Shounak

1. The question states: "Two lights are placed along the x-axis at positions x1 = 3.00 m and x2 = 5.00 m. The lights flash at times t1 = 1.00 ns and t2 = 9.00 ns. An observer in a rest frame moving to the right sees the lights flash in the same location. Assume that the origins of the two rest...

So this is my first course in upper level physics, and I'm still trying to figure out special relativity. The problem: Two events occur at the same place in a certain inertial frame and are separated by a time interval of 4sec. What is the spatial separation between these two events in an...

This is a fairly trivial question I think. I'm only asking it here because after some googling I was unable to find its answer. I was at one point led to believe that the form of the Lorentz-transformation matrix is dependent on the convention used for the Minkowski metric. Specifically it...

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

I have a problem understanding the Lorentz transformation of the spin. The spin 4-vector is defined in the rest frame of the particle as s^{\mu} = (0, \vec{s}) and then boosted in any other frame according to s'^{\mu} = (\gamma \vec{\beta} \cdot \vec{s}, \vec{s} +...

Hello, As known, any Lorentz transformation matrix \Lambda must obey the relation \Lambda^\mu~_\nu\Lambda^\rho~_\sigma g_{\mu \rho}=g_{\nu \sigma}. The same holds also for the inverse metric tensor g^{\nu \sigma} which has the same components as the metric tensor itself (don't really...

I have been reading Lieber's book "The Einstein Theory of Relativity" which describes the derivation of the Lorentz Transformations: archive.org/details/einsteintheoryof032414mbp -- see pages 39-56 bartleby.com/173/a1.html The entire derivation makes no sense, whatsoever. Why is it...

I would like to know a simple way of understanding how to derive the Lorentz transformation equations. My book states them without proof and on websites I only see complicated proofs that I am not mathematically ready for yet. Ok so I think i understand x'=γ(x-vt), but let me say it in my own...

Homework Statement I am trying to derive the time dilation formula using Pythagorean theorem: L = ct (in clocks rest frame) D = ct'(in observer's frame, the clock moving with velocity u) The Attempt at a Solution So D^2 = L^2 +v^2t^2 c^2{t'}^2=c^2t^2+u^2t^2 Sot'=t*\sqrt{1+v^2/c^2}...

I started to study Simple Derivation of the Lorentz Transformation In this derivation, I gather that there are two rays of light being tracked--one going to the right of the origin and one going to the left of the origin. The right-going light is described by x=ct and x'=ct'. The...

Homework Statement During class today, I was told that: x' = γ(x-vt) y' = y z' = z t' = γ[t-(v/c2)x], where γ=(1-v2/c2)-1/2 (This is just the standard Lorentz transformation.) Then I was told that we could find dx/dt, the inertial velocity, by finding dx' and dt' and dividing...

γHomework Statement Stan is at rest on the Earth while Mary is moving away from the Earth at a constant speed of 0.600c. Stan and Mary start their timers when Mary passes Stan (in other words, t = t' = x = x' = 0 at that instant). (a) When Mary has traveled a distance of 0.900 *108m...

I got the general form of a Lorentz transformation in a GR book, {\textbf{x'}} = {\textbf{x}} + (γ-1)\frac{{\textbf{x}•\textbf{v}}}{v^2}\textbf{v}-γ\textbf{v}t t' = γ(t-\frac{{\textbf{x}•\textbf{v}}}{c^2}) from frame S to frame S' moving with relative velocity \textbf{v}. How to...

Homework Statement Essentially, a particle is moving downward from the top of a tower at 0.98c, and the tower is moving up at 0.98c. I am to find the apparent height of the tower from the perspective of the particle Homework Equations Δx=γ(Δx′+vΔt′) Δt=γ(Δt′+vΔx′/c2)...

I am reading Quantum Field Theory by Michio Kaku, and I have come across some equations that I can't quite make sense of. I am hoping somebody can help me out. Please see attached. Thanks.

Hello I have been thinking at EPR experiment during some time. It is very suggestive for me that the entanglement effects travel faster than ligth between the positions of 'Alice' and 'Bob'. I understand this is not contradictory with special relativity, due there is a not real exchange of...

1. What is the limitation of the Galilean transformation? 2. What are difference between Lorentz transformation and Galilean transformation?

Homework Statement For flat spacetime the coefficients of the Lorentz transformation are defined as \alpha^{\nu}_{\mu} = \frac{\partial x^{' \nu}}{\partial x^{\mu}} Whereas the Lorentz transformation is \begin{pmatrix} x_1' \\ x_2' \\ x_3' \\ x_4' \end{pmatrix} = \begin{pmatrix}...

Homework Statement At the bottom of this page: http://www.cv.nrao.edu/course/astr534/LorentzTransform.html It states; Lorentz factor: * y =gamma How did they eliminate x? The Attempt at a Solution I'm taking the x value which is y(x'+vt') and substituting this into...

Hey, I'm just learning the ins and outs of special relativity and I'm having a little trouble with the derivation of the Lorentz Transformation. I bought Einstein's book 'Relativity: the special and general theories' and this is described in an appendix. For background, the appendix is linked...

Homework Statement Two identical spaceship A and B, each 200m long in its rest frame, pass one another traveling in opposite directions. According to a passenger in spaceship B, the relative velocity of the two ships is 0.58c. What is the length of each spaceship in a reference frame in...

Homework Statement [Removed over-sized images. Hoot][/color]Homework Equations [b]3. The Attempt at a Solution [/b In traditional way, we need to find velocity first, then use s=vt and done. But this time, it moves in high speed, it seems it doesn't work. So what can I do this time?

Homework Statement 2 INERTIAL frames S and S': Coordinates of S: (x,y,z,t) Coordinates of S': (x',y',z',t') Whereby: x': x-ut y': y z': z t': t The point is how do you convert the coordinates of S' to the ones in Lorentz transformation. I know the formulas but I do not know...

Hi, a few lines below equation (3.1.5) Weinberg writes: "The transformation rule (3.1.1) is only possible for particles that for one reason or another are not interacting." I thought a lot about it, but don't see any possible reason. Can you help please? After a few lines he defines...

Does anyone have the matrix form of the completely general Lorentz Transformation, with rotations AND boosts, or does it not exist?

Hi everyone, I am looking into relativity as preparation for university and I was wondering if anyone could help me out with this. I am reading Six Not-So-Easy-Pieces and in it Feynman uses the Lorentz transformation and 'derives' it, by showing that Lorentz contraction is necessary to...

Homework Statement Homework Equations http://upload.wikimedia.org/math/7/8/1/78195e8f63116bf11b2bbef574fbcc25.png The Attempt at a Solution I'm not entirely sure how to use the equations; a worked example would be very helpful!

Let's say an observer A in his rest system has a wave function for an electron double slit experiment (psi function of x and t). Would there be any inconsistencies between QM and relativity coming out of a QM analysis performed by observer A and some other observer, B, who is moving at...

Are there lorentzian transformation equations relating non-inertial frame to inertial frame. Also are there transformations relating non-inertial frame to another non-inertial frame. By 'non-inertial frame', I mean frame of reference having absolute acceleration,jerk... or any n-th order time...

Hi, I am using Griener's Relativistic Quantum Mechanics and I have a question. Using the Klien Gordon Equation (p^{\mu}p_{\mu}-m_{0}c^{2})\psi=0, he says that the transformation law for the wavefunction i.e \psi(x) transforming to \psi'(x') must have the form \psi'(x')=\lambda \psi(x) with...

Homework Statement Show that the electromagnetic wave equation \frac{\partial^{2}\phi}{\partial x^{2}} + \frac{\partial^{2}\phi}{\partial y^{2}} + \frac{\partial^{2}\phi}{\partial z^{2}} - \frac{1}{c^2}\frac{\partial^{2} \phi}{\partial t^2} is invariant under a Lorentz transformation...

Homework Statement We have an homogeneus electromagnetic field with E \bullet B=0 and E \neq cB Find the velocity of the reference frames in which ony E exists. Homework Equations \mathbf{E}' = \gamma \left( \mathbf{E} + \mathbf{v} \times \mathbf{B} \right ) - \left...

G'day, I'm just doing some physics homework and decided to attempt to prove something. This is not a homework problem, I'm just unsure how to evaluate the limit. Using the equation for transformation of velocity U=(U'+V)/(1+(VU'/c2)), I'm trying to show that if V=-c, as U' approaches c, U...