On Monday, April 9, 2018 at 4:59:38 AM UTC, [email protected] wrote:
>
>
>
> On Sunday, April 8, 2018 at 1:09:23 PM UTC, [email protected] wrote:
>>
>>
>>
>> On Sunday, April 8, 2018 at 12:05:28 PM UTC, Lawrence Crowell wrote:
>>>
>>> On Sunday, April 8, 2018 at 6:17:30 AM UTC-5, [email protected] wrote:
>>>>
>>>>
>>>>
>>>> On Sunday, April 8, 2018 at 2:46:37 AM UTC, [email protected] wrote:
>>>>>
>>>>>
>>>>>
>>>>> On Saturday, April 7, 2018 at 6:09:10 PM UTC, [email protected] 
>>>>> wrote:
>>>>>>
>>>>>>
>>>>>>
>>>>>> On Saturday, April 7, 2018 at 12:59:00 PM UTC, Lawrence Crowell wrote:
>>>>>>>
>>>>>>> On Friday, April 6, 2018 at 9:35:18 PM UTC-5, [email protected] 
>>>>>>> wrote:
>>>>>>>>
>>>>>>>>
>>>>>>>>
>>>>>>>> On Friday, April 6, 2018 at 4:04:55 PM UTC, [email protected] 
>>>>>>>> wrote:
>>>>>>>>>
>>>>>>>>>
>>>>>>>>>
>>>>>>>>> On Friday, April 6, 2018 at 2:45:40 PM UTC, Lawrence Crowell wrote:
>>>>>>>>>>
>>>>>>>>>> On Thursday, April 5, 2018 at 3:20:39 PM UTC-5, 
>>>>>>>>>> [email protected] wrote:
>>>>>>>>>>>
>>>>>>>>>>> Assuming that QM is a non-local theory, if two systems become 
>>>>>>>>>>> entangled, say via a measurement, do they necessary have a 
>>>>>>>>>>> non-local 
>>>>>>>>>>> connection? That is, does entanglement necessarily imply 
>>>>>>>>>>> non-locality? AG
>>>>>>>>>>>
>>>>>>>>>>
>>>>>>>>>> Entanglement is a form of nonlocality.
>>>>>>>>>>
>>>>>>>>>> LC
>>>>>>>>>>
>>>>>>>>>
>>>>>>>>> OK, that's what I thought, but consider this. It's clear that 
>>>>>>>>> information can't be transmitted due to entanglement or non locality. 
>>>>>>>>> But 
>>>>>>>>> aren't we entangled with the external world, yet receive information 
>>>>>>>>> from 
>>>>>>>>> it? TIA, AG 
>>>>>>>>>
>>>>>>>>
>>>>>>>> Or look at it this way; if I am NOT entangled with the photons 
>>>>>>>> coming my way allowing me to SEE the world, and NOT entangled with the 
>>>>>>>> various pressure waves that enable me to hear and feel the world, what 
>>>>>>>> I am 
>>>>>>>> entangled with? TIA, AG 
>>>>>>>>
>>>>>>>
>>>>>>> The classical or macroscopic world is in part at least related to 
>>>>>>> how quantum states are entangled at different times with other states 
>>>>>>> in 
>>>>>>> the environment. This though is not a level of description that can 
>>>>>>> tell 
>>>>>>> you much about these specific interactions. The quantum world is in 
>>>>>>> effect 
>>>>>>> in a sort of random Zeno machine that continually reduces wave 
>>>>>>> functions, 
>>>>>>> and in effect it can be argued it does this to itself. Quantum phases 
>>>>>>> are 
>>>>>>> being continually mixed and re-entangled so as to generate a sort of 
>>>>>>> quantum phase chaos. 
>>>>>>>
>>>>>>> LC
>>>>>>>
>>>>>>
>>>>>> *This sounds reasonable, but when I try to apply I run into big 
>>>>>> trouble. Suppose there's a free Nitrogen molecule coming my way, and 
>>>>>> when 
>>>>>> it strikes me I experience a breeze. Am I ever entangled with it prior 
>>>>>> to 
>>>>>> impact? IIUC, its wf spreads with time. Same for an assumed wave packet. 
>>>>>> Not sure which wf is appropriate to apply, That aside, but whichever, 
>>>>>> that's an initial form which spreads and it is most concentrated when 
>>>>>> initially observed. But where is the observer to set the initial 
>>>>>> condition? 
>>>>>> TIA, AG*
>>>>>>
>>>>>
>>>>> *The general question is this; how does one get an entangled system 
>>>>> from two UN-entangled systems, each with its own WF? TIA, AG  *
>>>>>
>>>>
>>>> *I just don't see how we gets *spontaneous* entangled states from 
>>>> unentangled states. In the free Nitrogen molecule case described above, we 
>>>> don't seem to even have a well defined WF of a free Nitrogen molecule to 
>>>> use, to get entangled with any other system. This goes to the heart of 
>>>> decoherence theory. It might be a lot of handwaving BS without substance. 
>>>> TIA, AG* 
>>>>
>>>
>>> Entanglement of quantum states occur through an interaction of these 
>>> states. Similarly decoherence occurs through an interactions. The quantum 
>>> phase of an entanglement or superposition is transferred through 
>>> interactions. To try to understand this requires some pretty serious work. 
>>> Entanglements are described by quotient spaces of groups, symmetric spaces 
>>> and are related to the universal bundle problem in differential geometry. 
>>> These spaces are related to the symmetries of interactions. 
>>>
>>> LC
>>>
>>
>> *OK, but in the case of the free Nitrogen molecule, can you define the 
>> quantum state unambiguously in order to begin to think of how entanglement 
>> might occur with its environment? If the state is undefined, all which 
>> follows, fails. AG*
>>
>
> *Let's simplify the model. Instead of a Nitrogen molecule, consider a free 
> electron at rest in some frame. Its only degree of freedom is spin IIUC. Is 
> it your claim that this electron become entangled with its environment via 
> its spin WF, which is a superposition of UP and DN? Does this spin WF 
> participate in the entanglement? TIA, AG*
>

*This seems like a simple Yes/No question. Am I missing something? AG *

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