According to Schroedinger (1935) the psi-function is a catalogue of
expectations.
Continuing with the exposition of the official teaching, let us turn to the
psi-function
mentioned above (§ 5). It is now the instrument for predicting the probability
of
measurement outcomes. It embodies the totality of theoretical future
expectations, as laid down in a catalogue. It is, at any moment in time, the
bridge of relations and restrictions between different measurements, as were in
the classical theory the model and its state at any given time. The
psi-function has also otherwise much in common with this classical state. In
principle, it is also uniquely determined by a finite number of suitably chosen
measurements on the object, though half as many as in the classical theory.
Thus is the catalogue of expectations laid down initially. From then on, it
changes with time, as in the classical theory, in a well-defined and
deterministic ("causal") way - the development of the psi-function is governed
by a partial differential equation (of first order in the time variable, and
resolved for dy/dt). This corresponds to the undisturbed motion of the model in
the classical theory. But that lasts only so long until another measurement is
undertaken. After every measurement, one has to attribute to the psi-function a
curious, somewhat sudden adaptation, which depends on the measurement result
and is therefore unpredictable. This alone already shows that this second type
of change of the psi-function has nothing to do with the regular development
between two measurements. The sudden
change due to measurement is closely connected with the discussion in § 5, and
we will
consider it in depth in the following. It is the most interesting aspect of the
whole theory,
and it is precisely this aspect that requires a breach with naive realism. For
this reason,
the y-function cannot immediately replace the model or the real thing. And this
is not
because a real thing or a model could not in principle undergo sudden
unpredictable
changes, but because from a realistic point of view, measurements are natural
phenomena like any other, and should not by themselves cause a sudden
interruption of the regular evolution in Nature.
> Il 21/11/2023 18:12 +01 Jason Resch <jasonre...@gmail.com> ha scritto:
>
>
>
>
> On Tue, Nov 21, 2023, 11:17 AM 'scerir' via Everything List
> <everything-list@googlegroups.com mailto:everything-list@googlegroups.com>
> wrote:
>
> >
> > Just an interesting quote.
> >
> > “The idea that they [measurement outcomes] be not alternatives but *all*
> > really happen simultaneously seems lunatic to him [the quantum theorist],
> > just *impossible*. He thinks that if the laws of nature took *this* form
> > for, let me say, a quarter of an hour, we should find our surroundings
> > rapidly turning into a quagmire, or sort of a featureless jelly or plasma,
> > all contours becoming blurred, we ourselves probably becoming jelly fish.
> > It is strange that he should believe this. For I understand he grants that
> > unobserved nature does behave this way – namely according to the wave
> > equation. The aforesaid *alternatives* come into play only when we make an
> > observation - which need, of course, not be a scientific observation. Still
> > it would seem that, according to the quantum theorist, nature is prevented
> > from rapid jellification only by our perceiving or observing it. [........]
> > The compulsion to replace the "simultaneous* happenings, as indicated
> > directly by the theory, by *alternatives*, of which the theory is supposed
> > to indicate the respective *probabilities*, arises from the conviction that
> > what we really observe are particles - that actual events always concern
> > particles, not waves."
> >
> > -Erwin Schroedinger, The Interpretation of Quantum Mechanics. Dublin
> > Seminars (1949-1955) and Other Unpublished Essays (Ox Bow Press,
> > Woodbridge, Connecticut, 1995), pages 19-20.
> >
>
> This is how David Deutsch interpreted these lectures:
>
> "Schrödinger also had the basic idea of parallel universes shortly before
> Everett, but he didn't publish it. He mentioned it in a lecture in Dublin, in
> which he predicted that the audience would think he was crazy. Isn't that a
> strange assertion coming from a Nobel Prize winner—that he feared being
> considered crazy for claiming that his equation, the one that he won the
> Nobel Prize for, might be true." -- David Deutsch
>
>
> Jason
>
>
> >
> >
> >
> >
> >
> > > Il 21/11/2023 16:43 +01 Jason Resch <jasonre...@gmail.com
> > > mailto:jasonre...@gmail.com> ha scritto:
> > >
> > >
> > >
> > >
> > > On Mon, Nov 20, 2023, 3:32 PM John Clark <johnkcl...@gmail.com
> > > mailto:johnkcl...@gmail.com> wrote:
> > >
> > > > On Mon, Nov 20, 2023 at 1:22 PM Jesse Mazer <laserma...@gmail.com
> > > > mailto:laserma...@gmail.com> wrote:
> > > >
> > > >
> > > > > > Depends what you mean by "couldn't be true"--my understanding is
> > > > > > that Einstein's EPR paper was just asserting that there must be
> > > > > > additional elements of reality beyond the quantum description
> > > > >
> > > >
> > > > Yes, Einstein thought he had proven that quantum mechanics must be
> > > > incomplete because nature just couldn't be that ridiculous. But it
> > > > turned out nature could be that ridiculous. The moral of the story is
> > > > that being ridiculous is not necessarily the same thing as being wrong.
> > > >
> > > >
> > >
> > > EPR was ultimately right. QM, as the understood was incomplete, for it
> > > wasn't acknowledged that there as an infinity of simultaneously existing
> > > states all of which persisted after measurement. It was assuming that
> > > measurement somehow changed things and made states disappear and do so
> > > faster than light which EPR authors couldn't swallow. Their intuition
> > > proved correct, there are no FTL influences.
> > >
> > > Jason
> > >
> > >
> > >
> > > >
> > > > John K Clark See what's on my new list at Extropolis
> > > > https://groups.google.com/g/extropolis
> > > > brw
> > > >
> > > >
> > > >
> > > > >
> > > > > >
> > > > > >
> > > > >
> > > >
> > > >
> > > >
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