Linear algebra and tensors in GR

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The discussion focuses on exploring challenges related to linear algebra and general relativity, specifically concerning tensors. A participant expresses interest in enhancing their understanding of tensors within the context of general relativity. A suggested challenge is to determine the eigenvectors and eigenvalues of the Lorentz Transformation. The conversation emphasizes the importance of these concepts in understanding the mathematical framework of general relativity. Engaging with these topics can deepen one's grasp of the interplay between linear algebra and physics.
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Hi folks,

I'm looking for some interesting questions/challenges regarding linear algebra and general relativity for fun. I'm particularly interested in tensors, but my background here is a bit weaker. Just wondering if anyone has any thoughts or ideas? :cool:
 
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Determine the eigenvectors and eigenvalues of the Lorentz Transformation.
 

Thread 'EPR revisited'

In an inertial frame of reference (IFR), there are two fixed points, A and B, which share an entangled state $$ \frac{1}{\sqrt{2}}(|0>_A|1>_B+|1>_A|0>_B) $$ At point A, a measurement is made. The state then collapses to $$ |a>_A|b>_B, \{a,b\}=\{0,1\} $$ We assume that A has the state ##|a>_A## and B has ##|b>_B## simultaneously, i.e., when their synchronized clocks both read time T However, in other inertial frames, due to the relativity of simultaneity, the moment when B has ##|b>_B##...
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