I downloaded your reference. It has a wealth of information and it's not at all obvious where I should look to answer my question. Typical situation! If you could tell me where exactly my question is dealt with, I won't bother you again. TY, AG
On Monday, September 2, 2024 at 10:06:03 PM UTC-6 Alan Grayson wrote: > 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/9e7a44f8-2920-4ca7-8266-111f0a3a3fa3n%40googlegroups.com.
