On Thursday, November 30, 2017 at 9:47:37 PM UTC, Bruce wrote:
>
> On 30/11/2017 10:59 pm, [email protected] <javascript:> wrote:
>
> On Thursday, November 30, 2017 at 11:42:51 AM UTC, Bruce wrote: 
>>
>> On 30/11/2017 10:32 pm, [email protected] wrote:
>>
>> On Thursday, November 30, 2017 at 4:08:20 AM UTC-7, Bruce wrote: 
>>>
>>> On 30/11/2017 9:53 pm, [email protected] wrote:
>>>
>>> On Wednesday, November 29, 2017 at 10:40:36 PM UTC, Bruce wrote: 
>>>
>>> On 30/11/2017 5:31 am, John Clark wrote:
>>>
>>> On Tue, Nov 28, 2017 at 10:59 PM, Bruce Kellett <[email protected]
>>> > wrote:
>>>
>>>
>>> ​ >​
>>> ​I see no reason all the Everett worlds have the same physics,
>>>
>>>
>>> ​ > ​
>>> Everettian worlds follow from assuming that the Schrödinger equation 
>>> applies everywhere without exception, so that all physical evolution is 
>>> unitary. A change in the underlying physics -- such as a change in the 
>>> value of fundamental constants, Planck's constant or Newton's constant for 
>>> example -- would not be unitary, so cannot occur in MWI.
>>>
>>>
>>> ​
>>> Why can't it be unitary?? Show me why if 
>>> ​ ​
>>> Newton's constant had any value other than 
>>> ​ ​
>>> 6.754* 10^-11 m3 kg^−1 s^−2 
>>> ​  ​
>>> the sum of all quantum probabilities would no longer add up to exactly 
>>> 1. If you can really do that then you've just derived Newton's constant 
>>> directly from first principles and you should but a ticket to Stockholm 
>>> right now because you're absolutely certain to win the next nobel Prize. 
>>>
>>> Although unitarity does mean that probabilities always sum to unity, 
>>>> that is a consequence of unitary evolution, not a definition of it. A 
>>>> unitary transformation is one that can be reversed: so the unitary 
>>>> operator 
>>>> U can be written as exp(-iH), for example, and the complex conjugate (or 
>>>> the adjoint for hermitian operators) is the inverse transformation.
>>>>
>>> *Considering the evolution of the wf, if there exists a DE that 
>>>> describes the collapse process, would it necessarily be nonlinear? Is 
>>>> nonlinear a problem; that is, what is the downside to nonlinear? How would 
>>>> it effect the issue of hidden variables? TIA, AG *
>>>>
>>>
>>                 Collapse would be non-linear and non-unitary -- 
>> intrinsically non-reversible. This is not necessarily a problem since there 
>> are plenty of non-linearities in physics. It has nothing to do with hidden 
>> variables.
>>
>> *Why would it be non linear? Brent claimed (on page 1)*
>>
>>
>> Page 1 of what?
>>
>
>
> *On Google it's organized as pages, now up to page 15. Go to top of thread 
> and read second message by Brent. AG *
>
>>
>> * that if the QM could be made deterministic, say by a DE that described 
>> collapse, it would imply awful consequences, such as the future determining 
>> the past.*
>>
>>
>> No, it wouldn't imply that.
>>
>> * Would making QM into a deterministic theory imply an inconsistency in 
>> the postulates of QM? TIA, AG*
>>
>>
>> QM in MWI is deterministic. Bohm's theory is deterministic, though 
>> expressly non-local. Determinism is not really an issue. One world theories 
>> are intrinsically random, not deterministic.
>>
>
> *How can MWI be deterministic if it can't tell us what outcome we will 
> observe in this world, or any other? AG*
>
>
> Because MWI says that all outcomes are realized, each in a separate world. 
> Apparent randomness comes about because we don't know which world we will 
> end up in (though we actually end up in all the worlds, so we, or our 
> duplicates, observe all possible outcomes).
>
> Bruce
>

 

 

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