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.

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Geometric Construction of Minkowski Space and Proper Time

In Minkowski spacetime, we define a tangent space at each point and using the metric, we calculate a real number that is the infinitesimal invariant interval between two points. This real number, ...
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Whether nonlinear coordinate transformations are symmetries of flat spacetime

I am editing this question after the answers are posted just to present my question a little clearly (without changing the main theme of the question). Moreover, this question is solely about flat ...
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Taylor expansion of scalar function for a coordinate infinitesimal transformation (Poincaré group)

For a coordinate infinitesimal transformation of the form $x^{\prime \mu} = x^{\mu} + a^{\mu} + \omega^{\mu}_{ \ \nu}x^{\nu}$, we want to derive its effect on a space of scalar functions $f(x)$. This ...
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Can a non-local theory be consistent with special relativity?

If there was a non-local theory that explained quantum entanglement correlations, does it follow that it would violate special relativity?
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Proving $so(3,1)\simeq sl(2,\mathbb{C})$ by redefining generators

First of all, I am a pedestrian in group theory. I have a general question and two particular ones. General question: I am trying to show that $so(3,1)\simeq sl(2,\mathbb{C})$ by redefining its ...
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Exponential decay of relativistic muons

I am working on an exercise that models the exponential decay of muons. The problem asks to calculate the percentage of surviving muons after $50 \mu s$ in two situations: Stationary muons. Muons ...
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Confusion with the Lorentz contraction as explained in "Introduction to Elementary Particles" by D. Griffiths

I am trying to understand how to derive the Lorentz contraction equation using the Lorentz transformations and while I know of a way to do this, I am still confused by a number of things, including ...
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How do you calculate the centrifugal force generated by the bunches of protons inside the LHC?

I've determined that, during operation, the LHC accelerates 2808 bunches of protons with roughly 120 billion protons per bunch up to 99.9999991% the speed of light. I'd like to calculate how much ...
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What are relativistic particles? [duplicate]

What are relativistic particles? I got it in a question of mechanics. So, what is it about a particle that makes it "relativistic"?
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Find the direction of the electromagnetic fields in a frame where $A_0$ is chosen to be $0$

Let the four potential which depends on four product $\phi=kx$ be $A^\mu=A^\mu(\phi).$ In one section of the Landau and Lifshitz QED book, the authors chose a reference frame where $A_0=0,$ $\vec{A}$ ...
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For an observer on a spaceship moving near the speed of light away from Earth, would Earth be moving near the speed of light in the other direction? [duplicate]

There is something I don't understand about time relativity in examples given in internet, television, etc. Supposedly if a spaceship takes off from Earth and moves closer to the speed of light, time ...
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Bucket leaking mass in special relativity

While reading David Morin’s book on Special Relativity I encountered an interesting questions, but I can’t understand its solution. (Set $c=1$ for simplicity). The scenario is the following: A ...
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Can you reason the equivalence principle from SR?

So for the past few days I've been reading on "why is special relativity incompatible with gravity?". Most answers are something along the lines of "special relativity doesn't have ...
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Can the composition law of a group be defined only when considering a representation or realisation of the Group?

When we talk about, lets say, the Lorentz group, we define the action of the Lorentz transformation $\varLambda$ on \begin{alignat}{1} x^{\mu} & \in\mathbb{R}^{1,3},\\ x^{\mu} & \rightarrow x'^...
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Do superluminal shadows drop the local temperature on distant objects?

There are lots of examples online of the scenario of someone with sufficient machinery casting a shadow of their thumb on the moon. It's argued the shadow travels faster than light, instantaneously ...
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