An extremely useful relation between the Kronecker delta and the Levi-Civita symbol.
The brackets mean that we completely anti-symmetrize in the indices m,npic.twitter.com/Hp8tK8qZ3D
You can add location information to your Tweets, such as your city or precise location, from the web and via third-party applications. You always have the option to delete your Tweet location history. Learn more
In particular, the frame bundle is "soldered" to the base manifold (i.e., spacetime) in a way that simply has no counterpart for other principal fiber bundles. It is exactly this feature that makes it possible to speak of torsion-free connections -- the only kind relevant to GR.
This soldering of the frame bundle to spacetime has a thousand profound ramifications, none of which can be naturally accommodated into the normal framework of gauge theory. And it doesn't help to replace the frame bundle by its double-cover, the spin bundle. It too is soldered.
Very nice explanation
Thank you for your clarification, Mr Laurens Gunnarsen. Heard about GR roughly 15 years ago, and it has been something sacred since. It took a long way for someone who grew up in a remote corner of the earth to finally understand it, at least a bit. /1
It feels more or less smooth and sound to learn GR when a student who has not run onto accidents along his education, but a lot harder for those who are derailed. Anyway, through shear passion, determination, and persistence, GR is not that hard. 2/
Mr Laurens Gunnarsen, I don't intend to bother you more but, will it be convenient for you to tell me some advisable textbooks/papers on what you clarified here, so that I can try dig deeper when I have time with hope that maybe one day I might have better understanding on GR? 3/
Mr Laurens Gunnarsen, what you clarified here deeply intrigued me & sparked my interest. Perhaps it will not surprise you if Nova admit that Nova does not (yet) understand what you said here. 4/
Twitter may be over capacity or experiencing a momentary hiccup. Try again or visit Twitter Status for more information.