- #31
- 24,488
- 15,057
As I said, I find this utmost confusing. If it takes effort to understand something only because of a bad choice of notation, it's better to change the notation!
I Index notation for inverse Lorentz transform
- Thread starter poetryphysics
- Start date
Click For Summary
The discussion revolves around the correct application of tensor and matrix notation in the context of the inverse Lorentz transform. Participants clarify that the equation x^{\overline{\mu}}x_{\overline{\mu}} does not equal \Lambda^{\overline{\mu}}_{\;\alpha}x^{\alpha}\Lambda^{\beta}_{\;\overline{\mu}}x_{\beta}, highlighting a misunderstanding in the original formulation. They emphasize the importance of distinguishing between different bases and the implications of tensor indices when transforming components. The conversation also touches on the conventions used in various texts, noting how notation can affect clarity and understanding. Ultimately, the participants aim to reconcile their differing approaches to notation while deepening their grasp of the underlying concepts.