Movement of a guitar string at relativistic speeds

[Joda]

If anyone sees this, I'd like to ask another question:

How do we know that the Nambu-Goto action is the one we want to minimize to get the correct equation of motion for the string?

 

[Sagittarius A-Star]

If anyone sees this, I'd like to ask another question

Maybe it can be seen better, if you start for the new question also a new thread with a headline, which asks specifically for the Nambu-Goto action.

Eventually you could ask a moderator, if the new thread should be issued here in the relativity forum or better in the quantum theory forum. I think, formally it belongs to the relativity form, because it is in literature discussed regarding classical (non-quantized) relativistic strings. But eventually, you find in the quantum theory forum more users, who have better knowledge about it, because of the D-dimensional Minkowski space and also the additional dimension of the particle.

How do we know that the Nambu-Goto action is the one we want to minimize to get the correct equation of motion for the string?

I don't know. I can only provide additional links:
https://www.damtp.cam.ac.uk/user/tong/string/string.pdf
https://en.wikipedia.org/wiki/Nambu–Goto_action