Dear Richard,
You wrote June 23 that “There are reliable experimental confirmations
of the EPR-B correlation”. But you didn't give a single example. Does
anyone know about reliable experimental confirmations of the EPR
correlation?
You also wrote that “The whole idea of David Bohm was to bring EPR
closer to experimental investigation”. I must say that here you are
following the misconception of many authors who have not read either
the EPR paper [1] or David Bohm, or have read inattentively. Even a
hint of the miracle that Bohm postulated is not in the EPR paper [1].
EPR considered only knowledge. They wrote in the Abstract: “In quantum
mechanics in the case of two physical quantities described by
non-commuting operators, the knowledge of one precludes the knowledge
of the other” [1]. We cannot know the exact values of the momentum and
coordinate of one particle in the same state, since the operators of
these physical quantities do not commute. But the operators can fail
to commute only if they act on the same particle. Therefore we can
know the exact values of the momentum of a particle A p_{A} and
coordinate of a particle B x_{B}. We can also know the total momentum
of particles A and B, for example p_{A} + p_{B} = 0. We can use the
law of momentum conservation in order to know the exact value of the
momentum of the particle B p_{B} = -p_{A}.
Thus, the EPR proposed a way to logically refute the symbols of faith
in quantum mechanics, the Heisenberg uncertainty principle and the
Bohr complementarity principle. No miracles are postulated in this
method, since it is only about knowledge. And if we can talk about the
EPR correlation, then only as an entanglement of our knowledge, in
accordance with Schridinger's definition proposed in 1935: ”Maximal
knowledge of a total system does not necessarily include total
knowledge of all its parts, not even when these are fully separated
from each other and at the moment are not influencing each other at
all” [2]. Our knowledge about particles A and B is entangled when we
know their total momentum p_{A} + p_{B} = 0 and therefore can find out
the momentum of particle B p_{B} = -p_{A} by measuring the momentum of
particle A.
We can think that measuring the momentum of the particle A changes
only our knowledge. But we cannot think so in the case of the
measurement of spin projections, considered by Bohm, since the
projection can be measured in different directions. I draw once again
your attention on Fig. 1 in my preprint “Logical proof of the
absurdity of the EPR correlation“ available on ResearchGate
https://www.researchgate.net/publication/331584709_Logical_proof_of_the_absurdity_of_the_EPR_correlation
. This preprint explains quite clearly and even popularly why we
cannot think that only our knowledge is changed at measurement of spin
projections. For this reason Dirac had to postulate in 1930 that a
change in the observer's knowledge leads to a change in the state of a
quantum system. Dirac postulated that only the system being measured
should jump into an eigenstate of the dynamical variable that is being
measured. For this reason the orthodox quantum mechanics with its
Dirac jump cannot predict the EPR correlation in the results of
observations of two particles of the EPR pair, see section 3 “The
Assumption used at the Deduction of the GHZ Theorem Makes Impossible
the EPR Correlation” of [3].
The EPR correlation can be predicted only if we will postulate, as
Bohm did, that the observer's knowledge about the particle A can
change the state not only this particle A but also the other particle
B. I demonstrate in the section 6 “The Rejection of Realism Results to
the Absurd” of [3] that Bohm's postulate about the miracle leads
logically to the absurd: two observers can create different states of
the same particles. A reliable observation of the EPR correlation can
confirm the existence of not only miracles, but also the absurd.
Therefore, I would like to know if there is reliable experimental
evidence of the EPR correlation.
[1] A. Einstein, B. Podolsky, and N. Rosen, Can Quantum-Mechanical
Description of Physical Reality Be Considered Complete? Phys. Rev. 47,
777 (1935).
[2] E. Schrodinger, Die gegenwartige Situation in der Quantenmechanik,
Naturwissenschaften 23, 807 (1935).
[3] Nikulov, A. Physical Thinking and the GHZ Theorem. Found Phys 53,
51 (2023). DOI:
https://link.springer.com/article/10.1007/s10701-023-00693-y , the
article is available on ResearchGate
https://www.researchgate.net/publication/370581308_Physical_Thinking_and_the_GHZ_Theorem
.
With best wishes,
Alexey