On Thursday, November 30, 2017 at 4:08:20 AM UTC-7, Bruce wrote:
>
> On 30/11/2017 9:53 pm, [email protected] <javascript:> 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) 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. Would making 
QM into a deterministic theory imply an inconsistency in the postulates of 
QM? TIA, AG*

> ...

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