On Saturday, January 12, 2019 at 4:17:56 PM UTC-6, Brent wrote:
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> On 1/12/2019 2:51 AM, Philip Thrift wrote:
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> On Friday, January 11, 2019 at 7:19:06 PM UTC-6, Brent wrote: 
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>> On 1/11/2019 1:57 PM, Philip Thrift wrote:
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>> On Friday, January 11, 2019 at 2:46:35 PM UTC-6, Brent wrote: 
>>>
>>>
>>>
>>> On 1/11/2019 6:01 AM, John Clark wrote:
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>>> On Thu, Jan 10, 2019 at 8:18 PM Brent Meeker <[email protected]> 
>>> wrote:
>>>
>>> * > The fine structure constant is e^2/hbar*c.  Those three values are 
>>>> measured independent of any Feynman diagrams*
>>>>
>>>
>>> Absolutely correct. So if you use Feynman diagrams to predict what some 
>>> physical system is going to do, such as a physical system of 2 electrons 
>>> being hit by a photon of light with a wavelength small enough to contain 
>>> enough energy to prevent the electrons repulsion, then you'd better get a 
>>> number very close to the Fine Structure Constant. If you don't then Feynman 
>>> Diagrams aren't any good. 
>>>
>>> They didn't use 12,672 Feynman Diagrams because they wanted to know 
>>> what the Fine Structure Constant was, they already knew what that 
>>> number was to many decimal places from exparament, they used 12,672 
>>> Feynman Diagrams because they wanted to see if Feynman Diagrams worked. 
>>> And it turned out they worked spectacularly well in that situation, and 
>>> that gives scientists great confidence they can use Feynman Diagrams in 
>>> other situations to calculate what other physical systems will do that 
>>> involve the Electromagnetic Force.
>>>
>>>
>>> There's always an interplay between theory and experiment.  It's 
>>> completely analogous to Maxwell's discovery that light is EM waves. There 
>>> were already experimental values of the permittivity and permeability of 
>>> the vacuum and there were values for the speed of light.  Maxwell showed 
>>> that his theory of EM predicted waves and using the permittivity and 
>>> permeability values the speed of the waves matched that of light.  Now the 
>>> speed of light is a defined constant and so are the permittivity and 
>>> permeability of the vacuum.  So the connecting of the three values by a 
>>> theory allows their values to be defined.  In the case of the anomalous 
>>> magnetic moment of the electron, hbar and c are already defined constants.  
>>> So quantum field theory (for which Feynman diagrams are just a 
>>> calculational tool) linked them and e to g.
>>>
>>> Brent
>>>
>>>
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>> If Feynman Diagrams (tools) are sufficient (to match experimental data) 
>> then Quantum Field Theory can be thrown in the wastebasket.
>>
>>
>> ?? Feynman Diagrams are just a mathematical trick for summing up terms to 
>> approximate the propagator of QFT.  
>>
>> Brent
>>
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> You just make Feynman Diagrams the fundamental elements of the theory, and 
> propagators derived from them.
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> How many diagrams?  The propagator has a clear interpretation as 
> connecting the field at x with the field at y.  Feynman showed that his 
> diagrams provided a good mnemonic for the infinite number of terms that 
> would sum to the propagator.  If you take the diagrams as fundamental you 
> then need to specify how many.
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> Just like histories are made fundamental, and Hilbert Spaces are derived 
> from them.
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> Hilbert spaces are infinite dimensional vector spaces.  So you have the 
> same problem: How many histories?
>
> Brent
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>             https://arxiv.org/abs/1002.0589 
>
> Theories do not come from Mount Olympus.
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> - pt
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>
As many histories/diagrams as you need. There are supercomputers now.


But what do physicists *really *think is *closer to actual reality*?  
Something closer to Histories/Diagrams or to a Hilbert Space. Do some 
really think that* in fact*  *material reality is actually an 
infinite-dimensional Hilbert Space?*

That is so freaking bizarre, isn't it, when you think about it.

- pt

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