When is something Lorentz invariant.

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SUMMARY

The discussion centers on the concept of Lorentz invariance, particularly in relation to Eddington-Finkelstein coordinates. It establishes that both the coordinate system and the metric must be Lorentz invariant for a quantity to be considered invariant under Lorentz transformations. Key examples of Lorentz invariants include the action, space-time interval, and rest mass, which are derived from tensors. Understanding these principles is crucial for grasping the foundations of relativistic physics.

PREREQUISITES
  • Understanding of Lorentz transformations
  • Familiarity with tensor calculus
  • Knowledge of Eddington-Finkelstein coordinates
  • Basic principles of relativistic physics
NEXT STEPS
  • Study Lorentz transformations in detail
  • Explore the properties of Eddington-Finkelstein coordinates
  • Learn about tensor invariance and its implications
  • Investigate the role of the action in relativistic physics
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Physicists, students of relativity, and anyone interested in the mathematical foundations of Lorentz invariance and its applications in theoretical physics.

Dreak
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Hello there,

I'm having a real problem understanding when a certain 'something' (for example Eddington-Finkelstein coordinates) is Lorentz invariant or how you can 'calculate' it.

Heck, I'm not even sure if a coordinate system must be lorentz invariant, or if the metric in the equations has to be lorentz invariant, or both?
 
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A scalar that is formed out of tensors (trivially or non-trivially) is invariant under lorentz transformations and is said to be a lorentz invariant. Examples include the action, the space-time interval, and the rest mass.
 

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