On Tuesday, February 2, 2021 at 8:54:47 PM UTC-7 Alan Grayson wrote:

> On Tuesday, February 2, 2021 at 2:38:06 PM UTC-7 [email protected] wrote:
>
>> On Sun, Jan 31, 2021 at 10:34 PM Alan Grayson <[email protected]> 
>> wrote:
>>
>> *> On the energy issue, what really bothers me about your stance on this 
>>> issue, is NOT that you can't offer a possible model or explanation for 
>>> where the energy comes from to create those other worlds, but that you 
>>> don't even recognize that such an issue exists. Others in this MWI cult 
>>> behave similarly. AG *
>>
>>
>> There is no energy issue, we've known from General Relativity as far back 
>> as 1915 that the conservation of energy does not hold on the cosmic level, 
>> not if completely empty space retains some residual energy and General 
>> Relativity allows for this. The gravitational potential energy of a sphere 
>> of particles of matter like sand is alway negative, this is true in 
>> Newtonian Physics and remains true in General Relativity, so the 
>> gravitational potential energy of a sphere of particles of mass-energy M 
>> and radius R is PE= (-G*M^2)/R  where G is the gravitational constant. It’s 
>> important to note that this is negative energy so the larger R gets the 
>>  closer the potential energy gets to zero, and if it was at infinity it 
>> would be precisely zero. if the sphere expands and is made of sand which is 
>> normal matter then M stays the same but R increases so the gravitational 
>> potential energy becomes less negative and more positive, and that means 
>> it's uphill; It would take an external expenditure of work to do that, so 
>> if you let the sphere go to rest it would fall inward as you'd expect.
>>
>> However if the sphere is primarily made of empty space and empty space 
>> contains energy then things would be different because unlike an 
>> expanding sphere made of sand the density of mass /energy inside an 
>> expanding sphere of empty space would not decrease with expansion, so when 
>> the sphere expands although R increases M^2 increases even more, so the 
>> overall gravitational potential energy becomes larger and thus more 
>> negative. So if the vacuum contains negative energy as this sphere increases 
>> in size it becomes more negative and that means expansion is downhill, 
>> and thus no work is used but instead work is produced. So in any 
>> universe in which vacuum energy dominates it will expand, it will fall 
>> outward and accelerate. Regardless of if there are many worlds or only 
>> one, most think vacuum energy is what makes our universe accelerate. You 
>> might ask if the sphere gets larger what makes it get larger, where did 
>> that mass/energy come from? The answer is It comes from the gravitational 
>> energy released as the sphere of vacuum energy falls outward. So at any 
>> point in this process if you add up all the positive kinetic energy and 
>> energy locked up in matter (remember E=MC^2) of the universe and all the 
>> negative potential gravitational energy of the universe you always get 
>> precisely zero.
>>
>>  John K Clark
>>
>
> *First, thank you for taking my question seriously. Concerning your last 
> sentence above, is your conclusion a matter of fact or faith? E.g., in the 
> case of the Solar System, we know the masses and velocities of the planets, 
> as well as their kinetic energies, inclusive of the kinetic energy of the 
> SS as it travels around the Milky Way, all with pretty good accuracies.  
> Have you done the calculation, and do you get "precisely zero" in total 
> energy when the negative gravitational potential energy is accounted for? 
> Personally, I strongly doubt it. Also, of note, is that Bruce vehemently 
> denies your conclusion. I don't know Brent's position on this issue, but I 
> suspect it's the same as Bruce's. I cite Bruce, and possibly Brent, because 
> I regard them as most knowledgeable of physics on this MB. More later. AG*
>

*Of course you must include the rest energies of the Sun, the planets, and 
estimates of the contributions of the asteroid and Kuiper belts. I didn't 
mean to slight LC, who clearly has a good grasp of physics, and I would be 
interested in his take on the result of this calculation. AG *

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