I should think it was obvious that the metric tensor, M, at a point g*Mg
gives the length of g.
I generally ignore these questions because you're asking questions that
take some exposition which is found in any text book and many online
sites. I also recommend "Relativity Demystified" by David McMahon.
Bretn
On 9/2/2024 5:25 PM, Alan Grayson wrote:
Brent; do me a small favor. If you are unable to answer my question,
just say so. OK? AG
On Saturday, August 31, 2024 at 8:48:13 PM UTC-6 Alan Grayson wrote:
You seem to know a lot about relativity, so please explain how the
metric tensor can be defined unambiguously at some point P on the
underlying manifold, spacetime, if there is an uncountable set of
pairs on a vector space on the tangent space at some point P on
which the metric tensor is defined (as a bilinear function which
maps to the real numbers.) TY, AG
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