Albro and the Crypto-Positivist
Albro Swift wrote:
Frank rejects the idea of two separate events (spin measurements)
possessing a joint correlation when they are spacelike-separated,
because there is no means of apprehending such a thing (barring
superliminal communication).
Frank Wappler wrote:
On the contrary, I suggested to analyze the two sets of recorded events
through such correlation to define the alignment of the two separated
detectors; that amounts to a measurement of the alingment of those
separated detectors.
Given three Stern-Gerlach devices A,B,C, apply your method to determine
that the angle between A and B is theta_AB and the angle between B and
C is theta_BC. According to conventional realism we could then infer
that the angle between A and C is the sum
theta_AC = theta_AB + theta_BC
but your procedure will not give this result. Therefore, your definition
of "angle" violates conventional realism. Your "angles" do not add
linearly, so they are not the angles of Bell (or Euclid). Please note
that no one disputes we can reconcile QM with Bell's inequalities if we
reject one or more aspect of conventional realism, and that's all you're
doing.
Albro Swift wrote:
... by taking distant measurements and operating on them in
various complex ways PRIOR to bringing the results together, it
becomess necessary to define *everything*, from galaxy clusters to
kitchen sinks, in terms of the simple observational results of each
individual EPR trial.
Frank Wappler wrote:
This sounds utterly incompatible with my idea of deriving measurements
precisely from available observations (and the assumption that
monotonous maps between ordered sets is a communicable/reproducable
concept). Could you please explain?
Sure. Following in the footsteps of everyone else who has ever given a
moment's thought to Bell's inequalities, you've hit upon the idea of using
an alternative definition of "alignment" to give a realistic explanation
of EPRB experiments. However, we can define more general types of EPR
experiments involving the measurement of qualities other than spin, and
in order to fully carry out this program it becomes necessary to re-define
not only spatial orientation but also every other aspect of spatial and
temporal relations, as well as momentum and energy, etc. In each case
the redefined concept is incompatible with the corresponding conventional
realistic concept, notably with regard to transitivity. As a result, if
you follow this path you eventually arrive at traditional phase space and
the Copenhagen interpretation, which simply doesn't trouble itself over
conventional realism. Of course, this still leaves unresolved the
measurement problem and the apparent superluminal influences on the
realistic side of the map. The answer you're advocating (whether you
know it or not) is just to ignore the conflict with conventional realism.
Frank Wappler trolled:
How would we know? I suggest we can know through calibration
procedures.
We can't "know through calibration procedures" because calibrations don't
create knowledge, they are simply associations that we choose to impose on
our knowledge as a way of organizing our information. They are generally
non-unique, so we have to make a selection on the basis of principles such
as simplicity, unity, economy, etc. You appear to be trying to make such
a selection, but without the benefit of much knowledge as to the actual
observations that need to be accommodated.
By the way, it's ironic that your deliberations have led you to elevate
"calibration" to the status of "The Origin of All Knowledge", because there
was another thread in this newsgroup not long ago in which some people
argued that calibrations were evil and the source of nothing but Error,
basically because calibrations require assumptions, and if we calibrate
our measurements based on our assumptions we will tend to get results that
agree with our assumptions. So (they claimed) we can gain true knowledge
only by practicing calibration-free science. Of course, those people
applied their anti-calibration philosophy with the same consistency and
intellectual rigor that animates your positivism, viz, they deployed it
only when polemically convenient.
Frank Wappler wrote:
_I_ consider observations...not as predetermined. ..._I_ find the
assumption not justified that _I_ could be sure about any of those
observations before _I_ collect them...
The question is not whether YOU can be sure of anything, but whether
anything definite exists independent of your perceptions. You say no,
which makes you a solipsist, i.e., someone who completely rejects
independent external reality. Obviously considerations such as those
leading to Bell's inequalities degenerate into meaninglessness (as
does everything else) in a solipsistic context.
Frank Wappler wrote:
It would be interesting to understand if you consider my rejection
of predetermined observations itself a rejection of one or more
aspect of conventional realism...
Of course it is. Solipsism is the archtypical rejection of realism.
As a means of explaining our knowledge of the external world,
solipsism is recognized by philosophers and physicists alike as
nothing but a reductio ad absurdum. On top of this, you're further
confusing yourself with the self-contradictory notion of "multiple
communicating solipsists".
Frank Wappler wrote:
I doubt that I could exclude that at least some of them were
signals from other observers, that they could in principle
collect observations about each other and exchange signals
_without_ my participation;... Confronted with the prediction
"This hammer will hit that nail." I still try to consult with
my thumb...
You miss the point. You are supposed to swing the hammer and
consult your thumb, and another "observer" 10 miles away swings a
hammer and consults his thumb, and you both write down on a piece of
paper the angle at which you were holding your thumb (relative to
local vertical) and whether or not you hit it. You each do this
repeatedly, with arbitrarily selected angles of thumb positions,
and write down a sequence of 1000 angles with the corresponding
result (did or didn't hit your thumb on that trial).
Now, according to what you've said, you accept the reality and
definiteness of both of these observers and their respective
observations, independent of each other ("...they could in
principle collect observations..._without_ my participation..."),
so there are definite markings on their pieces of paper. When
the two observers put down their hammers and meet in some common
location and compare results, the correlation is already determined,
because the correlation consists of the union of the two separate
realities that you already claim to accept. On comparison they
find the following distribution of joint outcomes on the combined
nth trials:
carpenter A
no hit ouch!
------------ ------------
no hit (1-cos(q))/4 (1+cos(q))/4
carpenter B
ouch! (1+cos(q))/4 (1-cos(q))/4
where q is the difference between the angles of their thumbs on
the nth trial. Clearly they each hit their thumb half the time,
independent of the angle (of either thumb). However, the correlation
on the nth trial depends on the difference between the angles, which
is not surprising in itself, but the correlation is a *non-linear*
function of the difference, which IS surprising because there's no
conventional realistic way of accomplishing such a correlation
(assuming we have spacelike separated carpenters who never lose
count, etc.)
The only way to alter the correlation between the marks made on those
two pieces of paper is to either retro-actively alter the experienced
reality of one or both of the observers, OR change the definition of
the "relations" between those two realities. But neither of those can
be accomplished without rejecting the reality of at least one of the
observers OR defining a new meaning for the "relation", in which case
it will necessarily contradict the mass of other observations (such as
sun sightings and any of a million other mutual observations that can
be made to establish a common basis of anglular orientation), all of
which give results that are consistent with each other but that will
be inconsistent with your re-defined relation.
To reconcile QM with realism, you would need to explain, in realistic
terms, how the markings on those two pieces of paper can give the
results that QM predicts. If you claim the angles written down
need to be adjusted, then you need to explain (realistically) why
the unadjusted angles as written nevertheless give consistent sun-
readings, to say nothing of why they are consistent with any of a
million other observations that the two carpenters could make,
individually or jointly. (It would be pointless to change our
definitions of the relations between observers ad hoc to resolve
our EPR observations if in the process we render all previously
well-behaved relations incoherent.) In addition, you need to
explain why the purported error in angular measurements was non-
linear, when the two protractors were fixed the entire time. And,
most difficult of all, you would need to keep a straight face while
claiming that your explanation is realistic.
Ideas along these lines have been studied to death. Angular relativity,
etc. But as I mentioned before, it isn't just angles that you have to
accommodate. It's all physical observables, and once you've accommodated
them all in a consistent way, you will find that you've constructed
phase space, not realistic space.
(Ironically, the modification of realism that captures QM's predictions
while doing the least damage to conventional realism is actually the
original suggestion in this thread, which you rejected out of hand,
namely, the suggestion that quantum interactions are temporally
symmetrical - as the relativisitic Schrodinger equation already
implies.)
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