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The special theory of relativity describes the motion and dynamics of objects moving at significant fractions of the speed of light.
2
votes
Accepted
Understanding the formula in an exercise
Lorentz transformations are coordinate transformations used when you have to connect two frames moving at constant relative speed. Here, you are solving for time difference in ground's frame and you h …
1
vote
1
answer
1k
views
Lorentz invariance vs. covariance
I am a bit confused whether relativistic theory is Lorentz invariant or covariant. And please explain why?
2
votes
0
answers
104
views
Gauge transformation and Special relativity
While explaining gauge theories, a book makes a comment that the U(1) transformation definition, $ U= e^{i q \lambda(x)}$ is analogous to a special relativity transformation in freely falling elevator …
0
votes
1
answer
324
views
Understanding the nature of metric tensor [closed]
The metric tensor for a flat spatial manifold gives us length on object, or separation between two space points. Similarly, $g_{\mu \lambda} dx{^\mu} dx{^\lambda}$ gives separation between two space t …
6
votes
5
answers
2k
views
Euclidean geometry in non-inertial frame
Refer, "The classical theory of Fields" by Landau&Lifshitz (Chap 3).
Consider a disk of radius R, then circumference is $2 \pi R$. Now, make this disk rotate at velocity of the order of c(speed of lig …
1
vote
1
answer
1k
views
Lorentz boost in light-cone coordinates
Consider a particle with momentum $p^{\mu}=(p^+,p^-,p_{\perp})$, where the momentum is written in light cone coordinates defined as,
\begin{align}
n^{\mu}&=(1,0,0,1)& \bar{n}^{\mu}=(1,0,0,-1)
\end{al …