On Sunday, November 18, 2018 at 3:20:47 PM UTC-6, agrays...@gmail.com wrote:
>
>
>
> On Sunday, November 18, 2018 at 9:14:25 PM UTC, Philip Thrift wrote:
>>
>>
>>
>> On Sunday, November 18, 2018 at 11:49:57 AM UTC-6, agrays...@gmail.com 
>> wrote:
>>>
>>>
>>> *For the simple case of two histories, presumably of particles, how does 
>>> Feynman introduce interference? What's the conceptual framework for 
>>> interference among or between histories? TIA, AG *
>>>
>>>>
>>>>
>> Attached to each history is an "evolving" *unit complex number* [ 
>> https://en.wikipedia.org/wiki/Circle_group ], or UCN (the complex 
>> numbers of modulus 1). When histories are "summed" (the sum of UCNs at the 
>> end of the histories that go to the same end point)  there is 
>> "interference" (just in the way complex numbers add up, since you can have 
>> a UCN pointing in one direction and another 180 plus or minus x degrees 
>> opposite). The modulus of that sum is then the "weight" for that end point.
>>
>> - pt
>>
>
> *So Feynman adds this additional hypothesis to QM. Is this kosher? Also, 
> doesn't he used forward and backward in time histories? Finally, how does 
> he choose the histories and presumably eliminate forward and backward 
> spatial loops, or doesn't this matter? AG *
>



His Sum Over Histories (Path Integral) is based on a set of postulates 
listed here:

  
 http://muchomas.lassp.cornell.edu/8.04/Lecs/lec_FeynmanDiagrams/node3.html

It gives the same numerical results as the Hilbert space formulation.

My Reflective Path integral has histories and futures (backwards-in-time 
histories). It puts multiple histories and time symmetry together. Feynman 
didn't do that. I did.

- pt


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