On 30/11/2017 10:59 pm, [email protected] wrote:
On Thursday, November 30, 2017 at 11:42:51 AM UTC, Bruce wrote:

    On 30/11/2017 10:32 pm, [email protected] <javascript:> 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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