This
post is one of the series of posts
listed
in Appendix below
Killing The Schrodinger's Cat, at last and for good:
part II
After writing my first reflection on the
first two chapter so the book (Part I), I continued
reading the book and keeping my notes while reading.
In general, I enjoyed the reading,
especially the parts about personal history of various people. In that part my
expectation turned out to be correct, Adam Becker offers a good account of the
history.
Once in a while the reading initiated an
argument, and those I present below.
Page 39
“When an electron is shot out into the
tube, its wave function obeys the Schrödinger equation, undulating and
propagating outward like a wave”
This statement makes us think that a wave
function describes an actual physical field, like an electric field. This is
simply wrong, because a wave function describes a number distribution ("an
amplitude") in space and time (related to the probability
distribution).
“So sometimes the electron behaves like a
wave, and sometimes it behaves like a particle”.
This statement is wrong, because an
electron never behaves like a wave and always behaves like a particle. However,
that particle demonstrates different macroscopic behavior under the same
macroscopic conditions – which is different from the behavior of macroscopic
particles, those always demonstrate the same macroscopic behavior under the same
macroscopic conditions. Specifically, an electron hits a screen at different
locations. Electrons
– plural – many electrons under the same macroscopic conditions
demonstrate behavior visually similar to the behavior demonstrated by a
macroscopic waves. For example, when many electrons hit a screen at different
locations, the resulting picture may look similar to the picture formed by
waves traveling on a surface of water through two narrow slits. The difference
between the waves in water and electrons is that every electron actually travel
in space from a source to a screen, but water waves happen do to water
molecules slowly moving about their equilibrium position and pushing on each
other.
The whole idea of “wave-particle duality”
was developed as an attempt to make sense of the theoretical concepts which
could not fit into a well-developed classical picture. But since then physics
has grown and today, almost hundred years later, we do not need to hold on this
mental bridge anymore. At the dawn of the quantum mechanics the fact that a
particle cannot demonstrate its location and velocity at the same time was a
shock. Today, we just accept it as a fact; yes, a quantum object cannot
demonstrate (note: I am not saying “have” – that is a different conversation
about possible interpretations of quantum mechanics), so, a quantum object
cannot demonstrate its location and velocity at the same time. The real
“mystery” is why macroscopic objects, which are made of quantum objects, do demonstrate
their location and velocity at the same time; how does that ability
of the whole comes from an inability of its parts?
About a hundred years ago, when physicists
would say something like “an incomplete description”, “incompatible variables”,
“complementary”, they simply meant “different from classical”.
Page 59
“For any entangled system, Einstein’s
choice applied: either the system is nonlocal, or quantum physics can’t fully
describe all the features of that system”.
There is the third choice. The parts of a
system interact via a physical interaction of some sort which has speed high enough
to explain the behavior of the system – assuming the experiment is feasible at
least in principle. The “high enough speed” condition may include interaction
via agents which travel above the speed of light.
Page 100
“How do … the photons … know you’re
watching them at all?” (in a double-slit experiment).
Answer – because “watching” means having
photons interacting with device which has one state in the absence of a
photon and changes its state in the presence of a photon, and that inter-action
changes the photon as well. Placing a detector by each slit makes the necessity
for including those detectors in the mathematical description of the
experiment.
The much more intriguing question is how
does a photon “know” – after traveling through one of the slits (and we don’t
know which) – where to hit a screen, or more importantly, where NOT to hit it?
It seems like a photon “knows” that well before reaching a screen. A photon
“knows” must mean that there is an interaction between a photon and the
environment which affects its motion toward a screen. But the Schrödinger
equation gives NO information about such interaction.
Here is where Bohm’s theory steps in.
Page 124
“Everett … insisted that a single
universal wave function was aa there was”.
The idea of the existence of a single
universal wave function for the whole existing universe is no different from
the idea of a single universal Lagrangian for
the whole world. It should be natural to every physicists who believes that our
understanding of the universe should reflect the existence of the universe.
However, the idea of the “many-worlds” logically is not connected with the idea
of a single universal wave function; these two ideas do not demand each other.
Term “many-worlds” implies the existence
of many different worlds – at the same time at the same place – (however one
may see it). However, the passage (page 126) “universal wave function splits
into more and more noninteracting parts” shows that those many worlds just
represent different parts of the whole world, parts which exists at the same
time at different locations. This picture is no different from any classical
view on the world.
The notion that every single event in the
universe creates new universes which correspond to all possible outcomes of the
event, and an observer in each universe observes his own outcome may be seen as
an innovation, but it has nothing to do with science, because does not help
making predictions does not lead to new insights, and instead of making things
easier and clearer, make them harder.
This is a situation when a treatment is
worse than a disease.
Page 145
Bell’s quote “The great von Neuman … made
assumptions in his proof that were entirely unwarranted”.
Many though experiments about entanglement
make the same mistake. Human mind can imagine things which may seem natural,
but physically “unwarranted”. It is not enough just to say “let’s assume these
particles are entangled”, there has to be a specific physical mechanism in
place for that to happen. If that specific mechanism of entanglement does not
exist, the whole thought experiment makes no sense.
Page 149
“Bell used … Bohm’s version of EPR
involving photons with entangled polarization. … When a photon hits a
polarizer, it either passes through or gets blocked”
This is an example of a very commonly used
interaction between a photon and an optical device (a polarizer, a mirror, a
lens, etc.). And it is an example of a very common misunderstanding of the
physical phenomenon happening during this interaction. Every author bases
his/her logic on the options what may happen with a photon during this
interaction, for example, a photon maybe be reflected, deflected, transmitted,
blocked. And then the same photon keeps traveling (and something else is
happening to it). The fact of the matter is that the photon traveling away from
a device is simply not
the same photon which was approaching a device. When a photon starts
interacting with a device, it means it collides with an atom inside the device
(at least one), it most probably gets absorbed, then – after some microscopic
time interval – a new photon is emitted, which may be again absorbed, emitted,
absorbed, emoted, etc., and such a process eventually leads to a photon – a new
one! – leaving a device. Any conclusion on what property that final photon has
is probabilistic and has to be derived based on quantum electrodynamics (in general).
Until this description is provided, any conclusions on the results of an
experiment involving a photon-device interaction may be plausible, but not
necessarily definite.
A polarization axis (a transmission axis)
of a polarizer is a macroscopic property of a device. When one photon
encounters a polarizer, it encounter the existence of one atom or molecule. How
would a photon “know” the direction of a transmission axis when it meets with
only one atom? That atom absorbs a photon, emits a new one, etc. The final
result is probabilistic. Hence, when a single photon interacts with a
polarizer, there is always
non-zero probability for a new photon be emitted by the polarizer on another
side (what we call “passing through”). The phrase “a photon is polarized perpendicularly
to the transmission axis” simply makes no sense. Hence, statement that (page
150) “the two [entangled] photons will always pass through together or be
blocked together” is just wrong. Even if one polarizer completely absorbs one
photon, there is a non-zero probability to see a photon on another side of a
second polarizer. And that ruins the whole idea of the experiment, of any experiment
with entangled photons (and also of the example with the casino).
Page 153
“That suggests a need for a radical
revision of our conception of space and time, far beyond Einstein’s relativity”
Bell’s theorem may have pointed in that
direction, but today “a need for a radical revision” is nothing but obvious,
because, clearly, that seems the only way toward quantum gravitation – nothing
else has been working.
Page 198
“further work on the subject would
extinguish his academic career”.
The book provides many insights into the
world of science, but it also provide many insights into the world of
scientists. Those two worlds are not identical. The world of scientists is
actually not much different from the world of actors, or politicians. “You are
wrong” does not mean “you made a logical mistake here and there” (as it should
be in the world of science), but “you think different from me, and that is
wrong” (as it often in the world of scientists). And if you are not a member of
“a pack”, you have a slim chance to find a good position.
Page 231
“What causes the collapse of the
system-apparatus-environment combined wave function?”
The answer is – instability of immeasurable states (e.g. those states in a Hydrogen atom that would have energy NOT equal to the energy of the Bohr's energy levels).
It seems to me that many Western physicists think of a wave-function as of an actual real physical field, e.g. like electric field. Having this view naturally makes them wonder what happens to the field if just before a measurement it existed in a huge area of space but right after a measurement it exists only at a specific point. that is why they call it a "collapse" and trying to break their heads to understand what happened. However, a wave-function is not an actual physical field, but just a mathematical abstract - like the Dirac Delta-function. Yes, it does have strange behavior, but what is not strange about quantum world?
The answer is – instability of immeasurable states (e.g. those states in a Hydrogen atom that would have energy NOT equal to the energy of the Bohr's energy levels).
It seems to me that many Western physicists think of a wave-function as of an actual real physical field, e.g. like electric field. Having this view naturally makes them wonder what happens to the field if just before a measurement it existed in a huge area of space but right after a measurement it exists only at a specific point. that is why they call it a "collapse" and trying to break their heads to understand what happened. However, a wave-function is not an actual physical field, but just a mathematical abstract - like the Dirac Delta-function. Yes, it does have strange behavior, but what is not strange about quantum world?
Page 245
“The idea that the universe as a whole was
a suitable subject for scientific investigation was difficult for some
physicists to swallow”.
A good example to demonstrate the difference
between one who is paid for doing something in the field called “physics”, and
a physicist (like not everyone who has a job title “a teacher” is actually a
teacher).
Page 291
“But how can the photon “decide” whether
to travel down just one path after it’s already passed through the first beam
splitter?”
The answer is (again) – the photon does
not need to “decide” anything. That photon disappears, being absorbed by the
material of the beam splitter. Gone. The rest of the process does not include
the original photon anymore.
Appendix I
After writing Part I, but before writing
Part II, I also wrote two more piece on the matter, which provide some
additional points of view, including on probability, entanglement,
“many-words”, philosophy, a “delayed choice experiment”, and more:
I also have short pieces on a scientific
method:
Three old pieces on physics:
Appendix II
The mission (i.e. the reason for
existence) of science as a human practice is making reliable predictions.
The mission of a scientists as an agent of
that human practice is discovering the truth about the universe and
representing it in a testable form (e.g. verifiable, or falsifiable).
When a faculty tells students
"Quantum Mechanics is a complete theory, and it means this ..." he or
she is simply lying - hence, he or she stops being a scientist. The truth (the
fact) is that there are (exist, whether one likes it or not) different
views on the state of Quantum Mechanics, and denying that fact is not a
scientific action.
A mere fact that someone is involved in a
scientific research does not automatically makes that one a scientists.
Appendix III
So many people and so much energy have
been focused on a photon traveling through two slits, or two entangled photons
or electrons, etc., so no one asks why waves on
trillions of strongly interacting atoms behave in a way similar to the behavior
of weekly interacting atoms in a dilute gas? A macroscopic number of
strongly interacting microscopic particles does not follow the laws of a
macroscopic world. Instead, there is a trick, a recipe – called “quantization” –
which works like a charm. Why?
The recipe works, what else do you
need?
Thannk you for this
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