On Friday, February 5, 2021 at 8:18:05 AM UTC-7 [email protected] wrote:

> On Fri, Feb 5, 2021 at 9:55 AM Alan Grayson <[email protected]> wrote:
>
>
>
>  Assuming General Relativity is correct the formula PE= -(G*M^2)/R is 
>>> valid for* ANY* mass, even a photon of light because a photon contains 
>>> energy and M=E/C^2, and a photon of light is about as far from being 
>>> "fixed" as you can get. 
>>>
>>
>> *You misunderstand. For a particular mass M, the formula works. But in 
>> your model M increases for an expanding vacuum sphere. Do you mean to sum 
>> over the individual masses, to get the total PE?*
>>
>
> Obviously  
>
>
>
>  
>
>> *> Anyway, without more information, I don't see how you can calculate 
>> the KE*
>>
>
> If the formula that I gave for gravitational potential energy is not valid 
> then hydroelectric dams generate their energy from nothing and the 
> conservation of energy would not only be violated on the cosmic scale but 
> would be violated on the local scale as well and thus be absolutely useless.
>  
>
> *> As far as I can tell, you just keep asserting that the rest mass*
>>
>
> Why do you keep talking about "rest mass"? 
>

*Because you've asserted that the total gravitational energy is identically 
zero, using the formula that PE + KE + rest energy = zero. Without material 
particles having rest energy, the last two terms are undefined. AG*
 

> A photon of light has no rest mass at all yet it produces a gravitational 
> field and that's the only thing it's important if you're talking about the 
> potential energy that gravitational field can produce. 
>
>  
>
>> * > increases as the vacuum sphere increases, but I haven't seen anything 
>> other than an assertion.*
>>
>
> If General Relativity is correct and if the vacuum contains residual 
> energy (as general relativity allows an observation seems to insist) and 
> if the volume of a sphere really is 4/3 PI*R^3 as has been known for 
> centuries then the mass of the sphere of vacuum MUST increase as the 
> radius R gets larger because  M=E/C^2.
>
>
>

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