On Thursday, February 28, 2019 at 11:13:07 AM UTC-6, Bruno Marchal wrote:
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> On 28 Feb 2019, at 02:01, agrays...@gmail.com <javascript:> wrote:
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> On Wednesday, February 13, 2019 at 9:40:32 PM UTC-7, cdemorsella wrote:
>>
>> Two fascinating (and very different) approaches are presented to derive 
>> Quantim Mechanics main practical tool (e.g. Born's rule). Wonder what some 
>> of the physicists on here think about this research?
>>
>> I find the argument that no laws is the fundamental law... and that the 
>> universe and its laws are emergent guided by subtle mathematical 
>> statistical phenomena, at the same time both alluring and annoying.... it 
>> is somehow unsatisfactory.... like being served a quite empty plate with 
>> nice garnish for dinner.
>>
>> One example of emergence from chaotic conditions is how traffic jams (aka 
>> density waves) can emerge from chaotic initial conditions, becoming self 
>> re-enforcing within local domains of influence... for those unlucky to be 
>> stuck in them. Density wave emergence is seen across scale, for example the 
>> spiral arms of galaxies can be explained as giant gravitational pile ups 
>> with some fundamentally similar parallels to say a rush hour traffic jam, 
>> except on vastly different scales of course and due to other different 
>> factors, in the galactic case the emergent effects of a vast number of 
>> gravitational inter-actions as stars migrate through these arms on their 
>> grand voyages around the galactic core.
>>
>> This paired with the corollary argument that any attempt to discover a 
>> fundamental law seems doomed to the infinite regression of then needing to 
>> explain what this foundation itself rests upon.... leading to the "it's 
>> turtles all the way down" hall of mirrors carnival house... head-banger. 
>>
>> Perhaps, as Wheeler argued, the world is a self-synthesizing system, and 
>> the seeming order we observe, is emergent... a law without law.
>>
>> Here is the link to the article:
>>
>>
>>
>> The Born Rule Has Been Derived From Simple Physical Principles | Quanta 
>> Magazine 
>> <https://www.quantamagazine.org/the-born-rule-has-been-derived-from-simple-physical-principles-20190213/>
>> The Born Rule Has Been Derived From Simple Physical Principles | Quanta 
>> Magazine
>>
>> The new work promises to give researchers a better grip on the core 
>> mystery of quantum mechanics.
>>
>> <https://www.quantamagazine.org/the-born-rule-has-been-derived-from-simple-physical-principles-20190213/>
>>  
>>
>>  
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>> *Is there consensus that Born's rule can be, and has been derived from 
>> physical principles, and/or the other postulates of QM? TIA, AG*
>>
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> I would say no. Just many interesting hints though. Then with mechanism, 
> you need to derive the wave/matrix as well, and the symmetries, from any 
> universal machinery phi_i. All the rest is given by Gauge invariance and 
> our breaking of the symmetries.
>
> I am (re)reading what Weinberg says about all this, but his conclusion is 
> that quantum mechanics could be simply wrong, and just a symptom of a 
> deeper theory, which it should with Indexical Digital Mechanism.
>
> Bruno
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As for the beginning with the *Feynman postulates* (listed here):

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

it seems thatsome form of the Born rule should be derivable, but I don't 
know.

- pt

 

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