On Wednesday, January 9, 2019 at 4:01:46 PM UTC-6, Bruce wrote:
> On Thu, Jan 10, 2019 at 7:53 AM John Clark <johnk...@gmail.com 
> <javascript:>> wrote:
>> On Wed, Jan 9, 2019 at 1:58 PM Philip Thrift <cloud...@gmail.com 
>> <javascript:>> wrote:
>> >> Is the Fine Structure Constant a rational number? Is it a algebraic 
>>>> number? Is it a transcendental number? Nobody knows.
>>> *> Is it computable at least?*
>> Because the Fine Structure Constant has a physical and not a 
>> mathematical definition my intuition tells me it must be computable; and 
>> indeed we've already computed a very good approximation of it and there is 
>> no reason to think we couldn't do even better if we had faster computers 
>> that could sum up more of those Feynman diagrams.  
> Rubbish. The fine structure constant is not computable by Feynman 
> diagrams. What might be confusing you is that QED calculations of 
> physically measurable  things like the Lamb Shift and g-2 for the electron 
> depend on the value of the FSC. Comparing the calculations with experiment 
> gives an accurate value for the FSC. the fine structure constant itself is 
> an arbitrary constant of nature, and not directly callable.
> Bruce

Huh? The QED industry of computing Feynman diagrams is to find more 
accurate charge renormalization. That in turn is what computes a more 
accurate fine structure constant.


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