Tag Info

Hot answers tagged special-relativity

It means $\phi(x^\mu) = \tilde{\phi}(\tilde{x}^\mu) = \tilde{\phi}((\Lambda^{-1})_\nu^\mu x^\nu)=\phi(x^\mu)\neq \tilde{\phi}(x^\mu)$

Second postulate of Special Relativity - Finite Invariante Speed?

It possible that you can't define the 2nd postulate, since according to https://math.stackexchange.com/questions/650718/does-infinite-equal-infinite $$\infty \ne \infty$$ Regarding the 1st postulate,...
• 34.8k
1 vote

• 63.7k
1 vote
Accepted

When an electron is moving at relativistic speeds, is the electric field length-contracted as well?

Yes, the electric field is length-contracted because it lives in physical space just like the charge itself. In other words, each point in space-time in which the electric field is present is a space-...
• 6,583
1 vote

${}$Doppler shift

The form of the Doppler shift tells you a lot about your system. If the equations are symmetric in transmit (Tx) and receive (Rx), then all motion is relative and there is no preferred rest frame. If ...
• 34.8k
1 vote
Accepted

Lorentz Boosts and Hyperbolic Quaternions

I'd never heard of hyperbolic quaternions, and they seem very strange – not even an alternative algebra, which is worse than the octonions. The subspace $a+br$ is isomorphic to the split-complex ...
• 27.3k
1 vote
Accepted

Long-range approximations of the Uehling interaction

I found out the answer; it might be useful to someone in the future. The two approximate interactions,  U_\delta=-\frac{4}{15}\frac{\alpha(Z\alpha)}{m^2}\delta(\vec{r}) \ \ \ , \ \ \ U_\text{h}=-m\...
• 2,266

Only top scored, non community-wiki answers of a minimum length are eligible