> On 12 Jan 2019, at 23:17, Brent Meeker <[email protected]> wrote:
> 
> 
> 
> On 1/12/2019 2:51 AM, Philip Thrift wrote:
>> 
>> 
>> On Friday, January 11, 2019 at 7:19:06 PM UTC-6, Brent wrote:
>> 
>> 
>> On 1/11/2019 1:57 PM, Philip Thrift wrote:
>>> 
>>> 
>>> On Friday, January 11, 2019 at 2:46:35 PM UTC-6, Brent wrote:
>>> 
>>> 
>>> On 1/11/2019 6:01 AM, John Clark wrote:
>>>> 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
>>> 
>>> 
>>> 
>>> 
>>> 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
>> 
>> 
>> You just make Feynman Diagrams the fundamental elements of the theory, and 
>> propagators derived from them.
> 
> 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.
> 
>> 
>> Just like histories are made fundamental, and Hilbert Spaces are derived 
>> from them.
> 
> Hilbert spaces are infinite dimensional vector spaces.  So you have the same 
> problem: How many histories?

The aleph_1 one on which your consciousness can differentiate, but in practice 
we can use only the aleph_0 local pieces of histories (which are indexical sets 
of past/memories+future/accessible-worlds).

Bruno


> 
> Brent
> 
>> 
>>             https://arxiv.org/abs/1002.0589 
>> <https://arxiv.org/abs/1002.0589> 
>> 
>> Theories do not come from Mount Olympus.
>> 
>> - pt
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