On Monday, March 2, 2015, meekerdb <meeke...@verizon.net> wrote:
> On 3/2/2015 5:36 AM, Jason Resch wrote:
>
>
> On Sun, Mar 1, 2015 at 11:33 PM, meekerdb <meeke...@verizon.net> wrote:
>>
>> On 2/28/2015 11:25 AM, Jason Resch wrote:
>>
>>
>>>>
>>>>
>>>> The best text on non-relativistic QM is by Asher Peres and it's
available *free* online.
>>>>
>>>>
http://www.fisica.net/quantica/Peres%20-%20Quantum%20Theory%20Concepts%20and%20Methods.pdf
>>>
>>
>> This is his treatment of MW:
>>
>> Everett’s interpretation and other bizarre theories
>> Another attempt4 to salvage quantum ontology, without invoking a
collapse of the wave function, is to assume that an entangled expression
like (12.1) does represent the actual situation. More precisely, the right
hand side of (12.1) is a part of the “wave function of the Universe,” in
which the cat may be considered as the observer of the atom. However, the
two branches of (12.1) correspond to different worlds, between which there
can be no communication, once an irreversible process has occurred. This
approach has several variations5 which are called the “relative state
interpretation” and the “many worlds interpretation.” None is satisfactory
because they merely replace the arbitrariness of the collapse postulate by
that of the no-communication hypothesis. In particular, there are no
objective criteria for the occurrence of the irreversibility which is
needed to prevent communication between the various worlds (and there
cannot be any such criteria, as we have seen in Chapter 11).
>> There have also been innumerable attempts to modify quantum theory (not
only to reinterpret it) so as to avoid the dual nature of the measuring
instrument. There is no experimental evidence to support any one of these
mutations of quantum theory—there is much evidence against them. I shall
not further discuss these groundless speculations.
>>
>> He seems to be unaware of decoherence in his critique of Everett.
>>
>> The term was not popular when he wrote the book, but he considers the
process and the influence of the environment in latter part of chapter 11.
>>
>> (1) The interference terms are not driven to zero, only to small values
and small values in cross terms cannot just be neglected since they are not
necessarily small in other bases.
>>
>
> What are the other bases where interference is not driven to zero, and do
they really have significance to observers?
>
> Probably not, because we can't construct instruments whose interaction
Hamiltonian would measure in those bases.  But that points to a deficiency
in our understanding of the world.  In the simple "The SWE is all we need."
theory of MWI there is no way to pick out the "good basis" from any other.
>
> (is your contention that if MW were true, it would lead to different
observations than what we apparently currently get)?
>
> I don't think it's definite enough to say.  It doesn't say exactly how
communication between worlds is avoided; that's where we need to develop
Zeh's theory of einselection.
>
>
>>
>> (2) They don't have a probability interpretation (without further
assumptions) which would support an stat mech interpretation of
no-communication.
>>
>>
>
> What is your opinion of Russell's derivation of the Born rule and the
Schrodinger equation?
>
> Dunno, I need to read it first.

It's available for free on Russell's website. That part is only a few pages
long, I am still trying to understand it myself, but I think it could be
one of the most significant breakthroughs in science if it's sound.

Jason

>
> Brent
>
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