On Monday, September 2, 2024 at 7:58:04 PM UTC-6 Brent Meeker wrote:
I should think it was obvious that the metric tensor, M, at a point g*Mg gives the length of g. It's not obvious and I don't see how it's relevant. At each point the metric tensor can be evaluated on an uncountable set of pairs of vectors. So which pair does one choose? AG 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. TY for the reference. I'll check if it has the issue I need addressing. It's not on any of the sites I checked, so far. AG 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 -- You received this message because you are subscribed to the Google Groups "Everything List" group. To unsubscribe from this group and stop receiving emails from it, send an email to [email protected]. To view this discussion on the web visit https://groups.google.com/d/msgid/everything-list/b088ec45-3862-4dad-bff6-2d97b6b4bb55n%40googlegroups.com <https://groups.google.com/d/msgid/everything-list/b088ec45-3862-4dad-bff6-2d97b6b4bb55n%40googlegroups.com?utm_medium=email&utm_source=footer> . -- You received this message because you are subscribed to the Google Groups "Everything List" group. To unsubscribe from this group and stop receiving emails from it, send an email to [email protected]. To view this discussion on the web visit https://groups.google.com/d/msgid/everything-list/fe23c33c-d79e-4516-aa98-e6eec954fa19n%40googlegroups.com.
