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Why is the flat spacetime of special relativity not a linear vector space? [duplicate]
Why is the flat spacetime of special relativity, not a real linear vector space? It seems to satisfy all the axioms for a set to form a vector space. I mean adding to spacetime points $(t_1,\vec{r}_1)$...
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Four vectors and coordinates
Hartle, gravity. Chapter 5
A four-vector is defined as a directed line segment in four-dimensional flat spacetime in the same way as a three-dimensional vector (to be called a three-vector in this ...
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Can we show that time is orthogonal to space?
It's easy to show that the time we measure is "in a different direction" from the space directions we measure. However, it's not immediately obvious to me that these directions are orthogonal.
How do ...
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