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Questions tagged [special-relativity]

The special theory of relativity describes the motion and dynamics of objects moving at significant fractions of the speed of light.

0 votes
0 answers
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Lorentz transformation of Creation and Annihilation operators for a real scalar field theory - MIT OCW QFT I Problem set 3 [closed]

I have been working through the MIT OCW's QFT lecture notes and problem sets, but I have come to realize that I have a fundamental misunderstanding of what is meant by how objects transform under ...
Nicolas Mendoza's user avatar
0 votes
2 answers
80 views

is $LT$ a Lorentz invariant?

We know the relations of time dilation and length contraction $$L=\frac{L_0}\gamma\\ T=\gamma T_0$$ If we multiply them together, we get $$LT=L_0T_0.$$ This holds for all $L$ and $T.$ So, is $LT=L'T'$ ...
user7777777's user avatar
-4 votes
3 answers
85 views

Is there a situation in which two photons/particles violate Lorentz transformation?

It does not necessarily have to be a pair production or anything with a name. Consider two photons moving away from or moving towards each other in the void. If imagining photons in relativity is ...
user avatar
8 votes
1 answer
221 views

A puzzle about relativistic spin

I'm suffering from a confusion about relativistic spin. I don't believe my question has been asked before, and I'm sure I've made some silly mistake somewhere, but I can't spot it. So I'm appealing to ...
ac2357's user avatar
  • 131
4 votes
3 answers
247 views

Meaning of general Lorentz transformations

According to Wikipedia, the Lorentz transformations for two inertial frames are written:$$\begin{cases} t'=\gamma(t-\frac{\mathbf {r}_{\parallel }.\mathbf{v} }{c^{2}} )\;\;\;(*)\\\mathbf {r'...
The Tiler's user avatar
  • 1,400
-2 votes
0 answers
59 views

Relativity problem about light signals and rockets equipped with mirrors [closed]

I find in a relativity book a problem that states: "A rocket with its own length $L$ moves away from Earth at a constant velocity $v$. A radar signal emitted from a ground station is reflected ...
idefix's user avatar
  • 1
1 vote
1 answer
134 views

Some confusion about understanding the relativistic quantum mechanics

S. Weinberg in his book "The quantum theory of fields" chapter 2 introduced the notion of symmetry in quantum mechanic as follows: Physical states are represented by rays in Hilbert space. ...
Mahtab's user avatar
  • 374
-5 votes
0 answers
82 views

Where can I publish a paper on an overhaul of quantum mechanics and relativity, for peer review? [closed]

I am working on a theory that combines quantum machanics and special relativity, the paper is by no means ready, I am just wondering where I could publish it for peer review when it is. I have never ...
Xeno's user avatar
  • 1
2 votes
2 answers
140 views

When is the Lagrangian a Lorentz scalar?

The Lagrangian $\mathcal{L}$ can be defined as the Legendre transform (when it exists) of the Hamiltonian $\mathcal{H}$, a non-Lorentz scalar quantity (as $\mathcal{H} =T^{00}$). My questions are, ...
Gabriel Ybarra Marcaida's user avatar
-2 votes
0 answers
49 views

Magnetic Field Generation in a Vacuum Through Special Relativity

The way special relativity explains electromagnetism is that when electrons move, their lengths contract due to relativistic effects, even though they do not move at extremely high speeds. This ...
Gopal Kaushik's user avatar
6 votes
5 answers
4k views

Wikipedia states that the relativistic Doppler effect is the same whether it is the source or the receiver that is stationary. Can this be true?

According to Wikipedia, the relativistic Doppler effect is simply the classical Doppler effect for a stationary source, $1-v/c$, times the relativistic time dilation, $1/\sqrt{1-v^2/c^2}$ (where v is ...
John Hobson's user avatar
1 vote
2 answers
147 views

Resolution of Ehrenfest paradox using only special relativity

It was my understanding the solution to the Ehrenfest paradox requires non-Euclidean geometry. Observers riding the rotating disk measure small distances according to the Langevin-Landau-Lifschitz ...
Aiden's user avatar
  • 1,900
-3 votes
0 answers
84 views

On definition of time in non-inertial frames [closed]

Strictly speaking we can only compare times and lengths in inertial frames of reference because the measuring tools are in the same conditions and aren't subject to G-force. So they are identical ...
Марат Рамазанов's user avatar
2 votes
3 answers
462 views

Question on special relativity

I am trying to learn special relativity. If we consider two inertial reference frames with spacetime co-ordinates $(t,x,y,z)$ and $(t',x',y',z')$ and let there be 2 observers who measure the speed of ...
morpheus's user avatar
  • 576
0 votes
0 answers
84 views

Co-ordinates and change of frame in relativity [closed]

Given an inertial co-ordinate system, and observer at the origin.  I'll make it concrete, for simplicity. He sees an object at the point $x = +10$, moving at velocity $v = +1$. He's subjected to a ...
Rich D's user avatar
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