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May 17, 2022 at 19:35 comment added J. Murray @kricheli If you wish, but I tend to regard that as being conceptually muddled. For instance, there is no such thing as the tangent space to a manifold - only the tangent space to a manifold at a point. The fact that the manifold $\mathbb R^n$ and the vector space $(\mathbb R^n,+,\cdot,\mathbb R)$ have the same carrier set can be the source of great confusion.
May 17, 2022 at 19:30 vote accept amilton moreira
May 17, 2022 at 19:29 comment added amilton moreira @ kricheli what do you mean by identify Minkowski spacetime with its tangent space?
May 17, 2022 at 19:28 comment added amilton moreira "what he means is that it is isomorphic to the tangent space to Minkowski spacetime at any arbitrarily chosen point" that was my confusion
May 17, 2022 at 19:26 comment added kricheli ...and of course you can identify Minkowski spacetime with its tangent space.
May 17, 2022 at 19:23 history answered J. Murray CC BY-SA 4.0