On Tuesday, July 14, 2020 at 2:50:12 PM UTC-6, Brent wrote:
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> On 7/14/2020 12:22 PM, Alan Grayson wrote:
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> On Tuesday, July 14, 2020 at 11:31:42 AM UTC-6, Brent wrote: 
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>> On 7/14/2020 3:34 AM, Lawrence Crowell wrote:
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>> On Monday, July 13, 2020 at 6:30:46 PM UTC-5, Alan Grayson wrote: 
>>>
>>>
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>>> On Monday, July 13, 2020 at 5:19:30 PM UTC-6, Lawrence Crowell wrote: 
>>>>
>>>> On Monday, July 13, 2020 at 4:42:24 PM UTC-5, Alan Grayson wrote: 
>>>>>
>>>>>
>>>>>
>>>>> On Monday, July 13, 2020 at 1:42:49 PM UTC-6, Alan Grayson wrote: 
>>>>>>
>>>>>>
>>>>>>
>>>>>> On Monday, July 13, 2020 at 11:57:50 AM UTC-6, Brent wrote: 
>>>>>>>
>>>>>>>
>>>>>>>
>>>>>>> On 7/12/2020 11:50 PM, Alan Grayson wrote:
>>>>>>>
>>>>>>> There can be because it's consistent with the equations.  A black 
>>>>>>>> hole doesn't include any matter.  General relativity is non-linear, 
>>>>>>>> that's 
>>>>>>>> why there can be non-flat cosmologies that contain no matter.  Of 
>>>>>>>> course 
>>>>>>>> there may be some different, better theory in which spacetime can't be 
>>>>>>>> curved without matter...but it seems unlikely since we have good 
>>>>>>>> evidence 
>>>>>>>> that gravitational waves exist.
>>>>>>>>
>>>>>>>> Brent
>>>>>>>>
>>>>>>>
>>>>>>> Yes, good evidence that gravitational waves exist, but as far I know 
>>>>>>> they're always associated with material interactions such as collisions 
>>>>>>> of 
>>>>>>> black holes. In the case of EM waves, I'd be more receptive of your 
>>>>>>> claim 
>>>>>>> that they can exist independent of charges and/or currents, but as far 
>>>>>>> as I 
>>>>>>> know there's no evidence of that. AG 
>>>>>>>
>>>>>>>>
>>>>>>> But a collision of black holes does NOT involve matter.  Black holes 
>>>>>>> (as far as the theory goes) are purely geometric things, i.e. made of 
>>>>>>> empty 
>>>>>>> space.
>>>>>>>
>>>>>>> Brent
>>>>>>>
>>>>>>
>>>>>> How then does the BH at the center of our galaxy weigh in at 4 
>>>>>> million solar masses? AG 
>>>>>>
>>>>>
>>>>> It's measured by observing the rotation rates of stars near the 
>>>>> galactic core, and not so small by comparison with other BH's at the 
>>>>> center 
>>>>> of galaxies, called Super Massive BH's. AG 
>>>>>
>>>>
>>>> It is unfortunately apparent that you are pretty highly confused by 
>>>> some of this. You need to sit down and read a comprehensive book or text 
>>>> on 
>>>> GR and related subjects. It is not going to be possible to clear this up 
>>>> with dozens of email posts.
>>>>
>>>> LC 
>>>>
>>>
>>> About the EP; I merely stated that it demonstrates that acceleration is 
>>> locally indistinguishable from gravity, and then I stated what "locally" 
>>> means. This is what Wiki and other sources say.  Yet you say I am confused. 
>>> How so? About masses of BH's, I watch documentaries which feature 
>>> astrophysicists offering their opinions, and they *uniformly* claim 
>>> that BH's have mass. How could it be otherwise if they're remnants of 
>>> massive collapsed stars? Not one makes Brent's claim, that they're just 
>>> geometric manifestations.  AG
>>>
>>
>> I didn't say they lacked mass.  I said they lacked matter.  Thus 
>> countering your assumption that gravity requires matter.
>>
>> Brent
>>
>
> I could have said that gravity requires mass/energy. What's the 
> distinction between matter and mass? TIA, AG 
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>
> Some things, e.g. black holes, have mass without matter (at least as far 
> as GR goes).
>
> Brent
>

What's the distinction between matter and mass? AG 

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