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Regarding the signature of the metric in Special Relativity

In this work, we address the fundamentals of Special Relativity, starting with a review of Lorentz Transformations and their geometric interpretation. We then discuss why the metric in spacetime must have a non-Riemannian signature to ensure the first postulate of the Theory of Relativity. The article aims to fill a didactic gap in the teaching of Physics by providing a solid understanding of the essential concepts of Relativity Theory for undergraduate and postgraduate students.

Keywords
Special Relativity; Metric Spaces; Minkowski Metric


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