Questions tagged [special-relativity]

For questions relating to Einsteins special relativity theory, the equivalence of physical laws in different inertial frames.

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Transformation of line element in Minkowski space under infinitesimal coordinate variation

I'm trying to understand the following problem: We are looking at an infinitesimal coordinate transformation $$x^\mu \rightarrow x^\mu + \epsilon u^\mu(x), \space \epsilon \rightarrow 0$$ and we are ...
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Taylor Polynomial in Physics-related Question

So I've got a function here: $$m(v)= \frac {M}{\sqrt{1- \frac{v^2}{c^2}}}$$ which basically states that the mass $m$ of an object with rest mass $M$ (a positive constant) changes with its velocity $v$...
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Perturbation Theory Ambiguity?

I am trying to solve problem 2.1 in Schwartz, which is to derive the transformations $x \rightarrow \frac{x+vt}{\sqrt{1-v^2}}$ and $t \rightarrow \frac{t+vx}{\sqrt{1-v^2}}$ in perturbation theory. ...
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Calculate the initial energy in terms of M and m, using special relativity.

I have this problem and i don't know how to continue... A radioactive nucleus $A$ of mass $M$ moves forward with energy total $E_A$. It decays in flight to its stable state of mass $m$, emitting a ...
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Deriving $KE=0.5mv^2$ from the relativity equation

From this article: http://hyperphysics.phy-astr.gsu.edu/hbase/Relativ/releng.html#c6 It shows how to derive the classical formula for Kinetic energy from Relativistic Kinetic energy. I've started at ...
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How does calculus work on a Pseudo Riemannian manifold?

I'll first recapitulate the why calculus works for Riemannian manifolds, and then present why I believe the same does not work for Pseudo-Riemannian manifolds. I'd like to know where my current model ...
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How does topology work when taking charts on a Psuedo-Riemannian manifold?

I'll first explain why I think taking charts is sane when working with Riemannian manifolds, and then show what I believe breaks down in the Pseudo-Riemannian case with a particular choice of a Pseudo ...
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Help with proof involving the Minkowski metric tensor.

$\newcommand{\LF}{\Lambda^#1_{\hspace{.2cm} #2}} \newcommand{\LL}{\Lambda^{\hspace{.2cm} #2}_#1} \newcommand{\af}{\alpha} \newcommand{\be}{\beta}$ I'm trying to prove that the Minkowski metric ...
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What is the Minkowski Metric?

I recently asked "What is the Metric Tensor?" and a very helpful answer from @R.N.Raia gave me a much better understanding as to what it is. The only problem is that there are a few terms their ...
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Deriving the relativistic rocket equations.

I am trying to derive the relativistic rocket equations found here [(4),(5),(6),(7),(8)] but I do not understand proper time, proper velocity and proper acceleration. Define a point $P$ with ...
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Special relativity confusion [closed]

Alex is on Earth and the planet Flez is 5 light years away. Glen, is on a spaceship approaching Earth at $0.8$c along a direct path towards Flez. Unfortunately Flez explodes. According to Alex, this ...
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