Recent content by gordonblur

The example I gave demonstrates that the problem lies in this line from post #6. In general \Lambda_X \ddot{x} \neq \Lambda_Y \ddot{y} .

\ddot{y}=\frac{d^2 y(\tau)}{d \tau^2} That is to say the second derivative of a 4-vec w.r.t. proper time. I'm using the notation from Malcolm Ludvigsen's book.

So, here is a simple example that should demonstrate the problem I'm having. I'll use only 2 spatial dimensions for brevity. A particle under constant acceleration g has world line: x=\frac{1}{g}(sinh(g\tau),cosh(g\tau),0), \; \dot{x}=(cosh(g\tau),sinh(g\tau),0), \; \ddot{x}=g^2x Using...

Great, so here is the bit I don't understand. Suppose x(\tau) and y(\tau) represent the same world line, but w.r.t. two different inertial frames X and Y respectively. Then y=\Lambda \, x where \Lambda is the Lorentz transform that maps from X to Y and the proper...

Thanks for the links guys, that all makes sense. My understanding of SR comes from Malcolm Ludvigsen's book, General Relativity a Geometric Approach, and searching the web for help. Unfortunately I'm not comfortable with using tensor notation yet, so forgive my linear algebra type style. Am I...

I have read a number of threads on acceleration and special relativity, but can't find what I'm looking for. I would like to know, in the context of special relativity, how to compute the acceleration "felt" by an observer, and how to transform this acceleration into different inertial frames...