On Monday, April 27, 2020 at 1:30:59 PM UTC-6, Alan Grayson wrote:
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>
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> On Monday, April 27, 2020 at 5:49:15 AM UTC-6, Alan Grayson wrote:
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>> On Monday, April 27, 2020 at 3:51:03 AM UTC-6, John Clark wrote:
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>>> On Sun, Apr 26, 2020 at 5:18 PM 'Brent Meeker' via Everything List <
>>> [email protected]> wrote:
>>>
>>> *> I think you are to readily reifying the mathematics.  Virtual 
>>>> particles are just Feynman's invention to keep track of consistent 
>>>> expansions of the Green's function.  There are other mathematical 
>>>> techniques for calculating the same number. *
>>>
>>>
>>> But they all involve violating the law of conservation of energy for 
>>> short amounts of time, and the shorter the time the larger the violation. 
>>>
>>> John K Clark
>>>
>>
>> I *might* be convinced, IF you understood the standard UP, involving 
>> position and momentum. But you don't. Do you know the definition of 
>> "standard deviation", aka "uncertainty"?  Look it up; a well defined 
>> concept in statistics; always involving ensembles! AG 
>>
>
> I trust you can see the problem with your interpretation of virtual 
> particles. In effect you're putting the cart before the horse! Once you see 
> that the usual form of the UP is a *statistical* statement involving 
> *standard 
> deviations*, the time-energy form must have the same property. And no one 
> here, apparently, can state what the ensembles are for that form of the UP! 
> If you don't know what ensembles you're talking about, it is egregiously 
> premature, and prone to error, to make an interpretation of the inequality. 
> AG
>

Clark; have you confirmed that the standard form of the UP is a 
*statistical* statement implying an *ensemble*, and that the UP can be* 
mathematically proven* from the postulates of QM?  Once we get past these 
elementary FACTS, we can discuss the meaning of the time-energy form of the 
UP. AG

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