Movement of a guitar string at relativistic speeds

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SUMMARY

The discussion focuses on the movement of a massive, unbreakable string at relativistic speeds, specifically in the context of applied physics and special relativity. The participants clarify that while string theory is often associated with the term "string," it is distinct from the mechanical behavior of strings in classical physics. Key concepts include the relativistic N-coupled oscillator model, which behaves similarly to a string, and the implications of relativistic mass and time dilation on vibrating strings. The Nambu-Goto Action is also mentioned as a relevant topic for further exploration.

PREREQUISITES
  • Understanding of special relativity principles
  • Familiarity with classical mechanics and oscillators
  • Basic knowledge of relativistic mass and time dilation
  • Awareness of the Nambu-Goto Action in string theory
NEXT STEPS
  • Research the relativistic N-coupled oscillator model
  • Study the Nambu-Goto Action and its implications in string theory
  • Explore relativistic elasticity and continuum mechanics
  • Examine the effects of relativistic speeds on mechanical systems
USEFUL FOR

Undergraduate physics students, educators in applied physics, and researchers interested in the intersection of classical mechanics and relativistic physics.

  • #61
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?
 
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  • #62
Joda said:
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.

Joda said:
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
 
Last edited:

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