What is the difference between covariance and invariance in special relativity?

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SUMMARY

The discussion clarifies the distinction between covariance and invariance in the context of special relativity. An invariant quantity remains constant across different frames of reference, while covariance refers to values that can be transformed between frames using specific transformation properties. The conversation highlights the importance of understanding these concepts for a deeper grasp of special relativity and suggests relevant resources for further reading.

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  • Understanding of special relativity principles
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  • Knowledge of transformation properties in physics
  • Basic comprehension of vector mathematics
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Physics students, educators, and researchers interested in the foundational concepts of special relativity and their mathematical implications.

mjda
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Can anyone briefly explain the difference between covariance and invariance in terms of special relativity?

My understanding is that an invariant quantity is a value which does not change regardless of frame of reference it is being measured in.

Covariance is a value which when measured in different frames of reference can be deduced by accounting for the transformation properties between the different frames?
 
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