On Sunday, April 21, 2019 at 5:54:33 PM UTC-6, Brent wrote:
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> On 4/21/2019 2:20 AM, [email protected] <javascript:> wrote:
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> On Saturday, April 20, 2019 at 9:51:13 PM UTC-6, Brent wrote: 
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>> On 4/20/2019 2:14 PM, [email protected] wrote:
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>> The following (long!) video can also help (well, it did help me)
>>>
>>> https://www.youtube.com/watch?v=foRPKAKZWx8
>>>
>>>
>>> Bruno
>>>
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>> *I've been viewing this video. I don't see how he established that the 
>> metric tensor is a correction for curved spacetime. AG *
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>> The metric tensor is the quantified embodiment of curved spacetime.  But 
>> How else would you define curvature, if not with the metric?
>>
>> Brent
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> *At 49:42 he defines the metric tensor. It has a Kronecker delta as the 
> leading term. So all cross terms will be zero in its matrix representation. 
> *
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> But then he says that in a curved space g_mn must be something else, that 
> does have cross terms.   I don't find his presentation very enlightening.  
> He ends up wit ds^2 = g_m_n dx^r dx^s    He doesn't even have the indices 
> match as in Einstein's summation forumula.
>
> Bren
>

Thanks. I'm going on to Susskind's lectures on GR.  AG

>
> *Listen; this is pure mathematics. If what he calls the metric tensor is 
> the general correction for curved spacetime, it can be proven 
> mathematically, strictly by mathematics. What I see is a hand-waving 
> argument at best! Ball in your court. AG *
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