New Scientist: Parallel universes make quantum sense

2007-09-24 Thread Hal Finney

New Scientist has an article on parallel universes:

 David Deutsch at the University of Oxford and colleagues have shown
 that key equations of quantum mechanics arise from the mathematics of
 parallel universes. This work will go down as one of the most important
 developments in the history of science, says Andy Albrecht, a physicist
 at the University of California at Davis. In one parallel universe,
 at least, it will - whether it does in our one remains to be seen.

It is behind a paywall at
http://space.newscientist.com/article/mg19526223.700-parallel-universes-make-quantum-sense.html
but I found a copy on Google Groups:
http://groups.google.com/group/alt.kq.p/browse_thread/thread/9631b2e37ba5e7a2/fb3202c9c5b71228?lnk=stq=%22new+scientist%22+deutsch+albrechtrnum=1#fb3202c9c5b71228

It has a great quote from Tegmark: The critique of many worlds is
shifting from 'it makes no sense and I hate it' to simply 'I hate it'.

The thrust of the article is about recent work to fix the two perceived
problems in the MWI: non-uniqueness of basis (the universe splits in all
different ways) and recovering the Born rule. The basis problem is now
considered (by supporters) to be resolved via improved understanding
of decoherence. This work (which was not particularly focused on the
MWI) generally seems to lead to a unique basis for measurement-like
interactions, hence there is no ambiguity in terms of which way the
universe splits.

As for the Born rule, the article points to the effort begun by Deutsch in
1999 to base things on decision theory. The idea is that we fundamentally
care about probability insofar as it influences the decisions and choices
we make, so if we can recover a sensible decision theory in the MWI, we
have basically explained probability. I've seen a number of critiques of
Deutsch's paper but according to this article, subsequent work by David
Wallace and Simon Saunders has extended it to the point where things
are pretty solid.

Hence the two traditional objections to the MWI are now at least arguably
dealt with, and given its advantage in terms of formal simplicity (fewer
axioms), supporters argue that it should be considered the leading
model for QM. This is where we get claims about it being among the most
important discoveries in the history of mankind, etc.

It's interesting to see the resistance of the physics community to
multiverse concepts. It all comes back to the tradition of experimental
verification I suppose, which is still pretty much impossible. Really
it is more a question of philosophy than of physics as we currently
understand these disciplines.

We see the same thing happening all over again in string theory. I
don't know if you guys are following this at all. String theory is
going through a crisis as it has turned out in the past few years that
it does not predict a single universe, rather a multiverse where there
is a landscape of possible sets of parameters, each of which would
correspond to a universe. The big problem is that there is no natural
or accepted measure (unlike with QM where everyone knew all along that
the measure had to be the Born rule and it was just a matter of how
many hoops you had to jump through to pull it out of your model).  As a
result it looks like it might be impossible to get even probabilistic
predictions out of the string theory landscape.

AFAIK no one within the community has followed our path and looked
at algorithmic complexity as a source of measure (i.e. the Universal
Distribution, which says that the simplest theories have higher measure).
Granted, even if that direction were pursued it would probably be
computationally intractable so they still would not be able to pull much
out in the way of predictions. Neverthless physicists are skilled at the
use of approximation and assumptions to get plausible predictions out of
even rather opaque mathematics so it's possible they might get somewhere.

But at this point it looks like the resistance is too strong. Rather
than string theory making the multiverse respectable as we might hope,
it seems likely that the multiverse will kill string theory.

Hal Finney

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Re: New Scientist: Parallel universes make quantum sense

2007-09-24 Thread John Mikes
Hal:

I usually do not argue your posts (pro or con) because I feel whatever you
write is in a 'different' discipline for me (euphemism: for 'above my
head').
Now I have a fundamental remark:

Whatever you QM etc. abiding minds conclude (including the published
science) is within our PRESENT *knowledge-base* (mindset, actual cognitive
inventory, naming is open). I don't hold myself above such, just acknowledge
that human *k-b* was flimsier in the past and will be less(?) flimsy in the
future (but still flimsy), so our likes/dislikes are no proof for the
actualities of nature (like: simpler, less axioms, etc.). If there is a
'measure' it is our (present) human figment.

MWI: Tegmark is right: (knowledgeable) people hate it at least. I don't, as
a matter of fact I apply it in my 'narrative' with a vengeance: in the
course of origination I do not specify formational qualia (and the negative
is pointing rather to 'ALL may be very very different') so the MW membership
is as diverse as it can - beyond our widest imagination (which is still
based on this little poor universe we have some experience about.)
So those equations derived from mathematical consideration within this one
have not too much credit for (potentially) fundamentally different systems.
This may be one reason why we know nithing about them. And this ignorance
is the foundation of the 'hate'. People dislike to 'not know'.
I include the ignorance of 'most of it' and consider our information very
very partial so I can accept the 'rest of it' as unknown/unknowable.

Why I accept the possible 'existence' of the multiverse? because I see no
reason not to. Our uniqueness and sole existence should be justified in the
multitude of everything and so far we could not come up with a good reason
for our exclusivity. I know: nescio non est argumentum against, but it is no
argument pro either. (This opinion is just as flimsy as the opposite
position.)

String theory? I don't know the first thing about it (Pun: 1st: what is
'string' - beyond the math-fiction?). A consequence drawn upon it is at
least subject to the credibility of the base. (Understandability? that would
be too human).
I wrote a remark on the new MIT invention that 'spacetime is a liquid'  in
which I humbly asked about the string-loop vibration as QM-al 'waves' and
the straight string endings as the electrically charged subatomix, an
explanation using the non-explained. (I know: this may be the route of
advancement and I use it myself, - you have to 'dare' to innovate.)

The never-never land of substituting math for common sense is disturbing for
simpleminded non-mathematicians, no matter how advanced they want to think.
Multiverse fits, with enough (non-math) imagination, string does not.
This is my way to look at it, I am not ready to defend it. Especially not on
the turf of the opponent.

Regards

John Mikes

On 9/24/07, Hal Finney [EMAIL PROTECTED] wrote:


 New Scientist has an article on parallel universes:

  David Deutsch at the University of Oxford and colleagues have shown
  that key equations of quantum mechanics arise from the mathematics of
  parallel universes. This work will go down as one of the most important
  developments in the history of science, says Andy Albrecht, a physicist
  at the University of California at Davis. In one parallel universe,
  at least, it will - whether it does in our one remains to be seen.

 It is behind a paywall at

 http://space.newscientist.com/article/mg19526223.700-parallel-universes-make-quantum-sense.html
 but I found a copy on Google Groups:

 http://groups.google.com/group/alt.kq.p/browse_thread/thread/9631b2e37ba5e7a2/fb3202c9c5b71228?lnk=stq=%22new+scientist%22+deutsch+albrechtrnum=1#fb3202c9c5b71228

 It has a great quote from Tegmark: The critique of many worlds is
 shifting from 'it makes no sense and I hate it' to simply 'I hate it'.

 The thrust of the article is about recent work to fix the two perceived
 problems in the MWI: non-uniqueness of basis (the universe splits in all
 different ways) and recovering the Born rule. The basis problem is now
 considered (by supporters) to be resolved via improved understanding
 of decoherence. This work (which was not particularly focused on the
 MWI) generally seems to lead to a unique basis for measurement-like
 interactions, hence there is no ambiguity in terms of which way the
 universe splits.

 As for the Born rule, the article points to the effort begun by Deutsch in
 1999 to base things on decision theory. The idea is that we fundamentally
 care about probability insofar as it influences the decisions and choices
 we make, so if we can recover a sensible decision theory in the MWI, we
 have basically explained probability. I've seen a number of critiques of
 Deutsch's paper but according to this article, subsequent work by David
 Wallace and Simon Saunders has extended it to the point where things
 are pretty solid.

 Hence the two traditional objections to the MWI are now at least 

Re: New Scientist: Parallel universes make quantum sense

2007-09-24 Thread Wei Dai

Here's my comment on David Wallace's 2005 paper, Quantum Probability from 
Subjective Likelihood:
improving on Deutsch's proof of the probability rule available at 
http://philsci-archive.pitt.edu/archive/2302/. I think this is probably 
one of the main works referred to in the New Scientist article.

The main assumption Wallace uses for his derivation of the Born rule is 
equivalence, which means that any rational agent must regard 
equally-weighted events to be equally probable. In my view, the biggest 
problem with this assumption is, what if the two events have equal weights 
but different phases? Wallace handles the question in a couple of sentences 
on page 18:

As for phase, this can be incorporated
by allowing phase changes in the erasure process: if |'erased(i)', 
rewardi is a
valid erasure state, so is exp(i theta) |'erased(i)', rewardi. More 
directly, it can be
incorporated by observing that a phase transformation of an entire branch is
completely unobservable, so an agent should be indifferent to it.
(end quote)

I'd answer that an event being unobservable is not sufficient reason for an 
agent to be indifferent to it. If it were, then we would all be indifferent 
to events that will only occur after our death (such as the disposition of 
our estates) but we clearly are not. Another way to see this is that the 
phrase phase change in the above argument can be replaced with quantum 
suicide and the argument goes through with the same force of logic (or lack 
thereof).

Instead of saying any rational agent must follow the Born rule, I'd 
reinterpret Wallace's derivation as saying that for any rational agent, if 
he doesn't care about phase, then he should follow the Born rule. Similarly, 
for any rational agent who really cares only about what he will observe, he 
should be indifferent to virtually everything since he can always make the 
observations come out the way he wants by using quantum suicide.

--
From: Hal Finney [EMAIL PROTECTED]
Sent: Monday, September 24, 2007 9:39 AM
To: [EMAIL PROTECTED]
Subject: New Scientist: Parallel universes make quantum sense


 New Scientist has an article on parallel universes:

 David Deutsch at the University of Oxford and colleagues have shown
 that key equations of quantum mechanics arise from the mathematics of
 parallel universes. This work will go down as one of the most important
 developments in the history of science, says Andy Albrecht, a physicist
 at the University of California at Davis. In one parallel universe,
 at least, it will - whether it does in our one remains to be seen.

 It is behind a paywall at
 http://space.newscientist.com/article/mg19526223.700-parallel-universes-make-quantum-sense.html
 but I found a copy on Google Groups:
 http://groups.google.com/group/alt.kq.p/browse_thread/thread/9631b2e37ba5e7a2/fb3202c9c5b71228?lnk=stq=%22new+scientist%22+deutsch+albrechtrnum=1#fb3202c9c5b71228

 It has a great quote from Tegmark: The critique of many worlds is
 shifting from 'it makes no sense and I hate it' to simply 'I hate it'.

 The thrust of the article is about recent work to fix the two perceived
 problems in the MWI: non-uniqueness of basis (the universe splits in all
 different ways) and recovering the Born rule. The basis problem is now
 considered (by supporters) to be resolved via improved understanding
 of decoherence. This work (which was not particularly focused on the
 MWI) generally seems to lead to a unique basis for measurement-like
 interactions, hence there is no ambiguity in terms of which way the
 universe splits.

 As for the Born rule, the article points to the effort begun by Deutsch in
 1999 to base things on decision theory. The idea is that we fundamentally
 care about probability insofar as it influences the decisions and choices
 we make, so if we can recover a sensible decision theory in the MWI, we
 have basically explained probability. I've seen a number of critiques of
 Deutsch's paper but according to this article, subsequent work by David
 Wallace and Simon Saunders has extended it to the point where things
 are pretty solid.

 Hence the two traditional objections to the MWI are now at least arguably
 dealt with, and given its advantage in terms of formal simplicity (fewer
 axioms), supporters argue that it should be considered the leading
 model for QM. This is where we get claims about it being among the most
 important discoveries in the history of mankind, etc.

 It's interesting to see the resistance of the physics community to
 multiverse concepts. It all comes back to the tradition of experimental
 verification I suppose, which is still pretty much impossible. Really
 it is more a question of philosophy than of physics as we currently
 understand these disciplines.

 We see the same thing happening all over again in string theory. I
 don't know if you guys are following this at all. String theory is
 going through a crisis as it has turned