- #1
kent davidge
- 933
- 56
How do we express the locality of a vector space in general relativity?
I mean, it's not clear what the boundaries of a given vector space are.
To put in another way, we could, in principle, blindly consider that we have the entire of ##\mathbb{R}^4## at our disposal to describe, say, the motion of a particle near Earth. The question which comes in is to what extent our calculations become wrong, at which point we should sort of split our reference frame in two, three.. etc reference frames as required by general relativity.
I mean, it's not clear what the boundaries of a given vector space are.
To put in another way, we could, in principle, blindly consider that we have the entire of ##\mathbb{R}^4## at our disposal to describe, say, the motion of a particle near Earth. The question which comes in is to what extent our calculations become wrong, at which point we should sort of split our reference frame in two, three.. etc reference frames as required by general relativity.