On Friday, December 1, 2017 at 9:05:21 AM UTC, [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.
>
> So for changes in constants to be unitary, there needs to be a hermitian 
> operator that brings about these changes. But changes in constants only 
> make sense for dimensionless constants such as the fine structure constant,
>
>
> *From a naive pov one could conjecture that the SoL could change even 
> though it's not a dimensionless quantity. ISTM the conclusion of an 
> unchanging SoL is forced on us since a meter is now defined as the distance 
> light travels in a second, where distance is defined in terms of the SoL? I 
> mean to say the current definitions of second and meter seem based on the 
> assumption that the SoL is an unchanging universal constant. Is this not 
> circular reasoning? AG*
>

*Correction of typo above. No question mark at end of second sentence. AG *

>
>
> and there is currently no theory as to how this would change in a unitary 
> manner.
>
>
> ​ >> ​
> lets assume you're right, then the string theory multiverse must be larger 
> than the many worlds multiverse incorporating everything in Everett's 
> version and MORE; after all if it contains universes with radically 
> different laws of physics it must also contain more modest things like a 
> world where my coin came up heads instead of tails.
>
>
> ​ > ​
> I would suggest that there is no such world. Whether a coin comes up head 
> or tails on a simple toss is not a quantum event;
>
>
> ​Do you actually think reality can be neatly divided ​
>   
> ​ 
>
> ...

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