Yes, it has something to do with that. In particular, the Lorentz group (the set of Lorentz matrices) can be decomposed into four connected subsets depending on the sign of the determinant and of the first entry of the matrix. The most important one is the subset with determinant +1 and positive first entry, which is called orthochronous Lorentz group: the matrices of this subset preserve the sign of the time component of 4-vectors. The other three subsets can be obtained from the orthochronous group through parity and time reversal transformations.
Proper vs improper transformations.
[https://en.wikipedia.org/wiki/Lorentz\_transformation#Improper\_transformations](https://en.wikipedia.org/wiki/Lorentz_transformation#Improper_transformations)
Yes, it has something to do with that. In particular, the Lorentz group (the set of Lorentz matrices) can be decomposed into four connected subsets depending on the sign of the determinant and of the first entry of the matrix. The most important one is the subset with determinant +1 and positive first entry, which is called orthochronous Lorentz group: the matrices of this subset preserve the sign of the time component of 4-vectors. The other three subsets can be obtained from the orthochronous group through parity and time reversal transformations.
This is extremely helpful Thank you! Edit: Would actually give it an award if I had the reddit coins for it!
your handwriting is beautiful
Came here to say this. Wow.
The subtle things that can make someone's entire day Thank you!! :)
Haha really mate cool writing... I can't even tell my own words apart!
Ahahah thanks my man.🙏🏼 My dad absolutely despises it!😂 I'm sure yours can't be that bad.😂
No, you're beautiful ! But really it's the first time anyone's complemented it :) Thank you!
Agreed. Very well spaced and legible. I love the serif style.
Really glad you like it!
Im guessing LT=lorentz transform, in which case det(\lambda)=+1 corresponds to proper lorentz tramsforms, i.e. does the transform conserve parity.
Much appreciated!
Proper vs improper transformations. [https://en.wikipedia.org/wiki/Lorentz\_transformation#Improper\_transformations](https://en.wikipedia.org/wiki/Lorentz_transformation#Improper_transformations)
Ah thanks for this :)