Dear Colleagues
I would like to draw your attention on my article “A problem with the
conservation law observed in macroscopic quantum phenomena is a
consequence of violation of the correspondence principle” published
recently in Chinese Journal of Physics 92, 270 - 283 (2024);
https://doi.org/10.1016/j.cjph.2024.09.023 . This article will be free
until November 17th. Anyone clicking on the personalized Share Link:
https://authors.elsevier.com/a/1jrRc_D8zq4tRm
before November 17, 2024 can take the final version of this article on
ScienceDirect. You can read or download this final version. No sign
up, registration or fees are required.
The graphical abstract (available at
https://ars.els-cdn.com/content/image/1-s2.0-S057790732400368X-ga1_lrg.jpg
) and section 8. “The false conclusion made in 1933 provoked obvious
contradictions in books on superconductivity” of this article drew
attention to the obvious contradiction between the books on
superconductivity. I was shocked when I noticed this contradiction
last August. How could it be that no one, including me, has noticed
this obvious contradiction for many years? The contradiction between
books on superconductivity appeared because theorists, in their desire
to describe the observed phenomena at any cost, do not notice even
obvious contradictions.
My article points out that the contradiction of the phenomena observed
in superconductors with the law of conservation and with the
correspondence principle are related to each other. Despite the
evidence of these contradictions, no one noticed them for many years.
I noticed these contradictions and also the contradiction between
books on superconductivity thanks to my discussion with Jorge Hirsch.
Jorge Hirsch is widely known as the author of the Hirsch index
https://en.wikipedia.org/wiki/H-index . Among experts on
superconductivity, Hirsch is known as a professor of physics at
University of California, San Diego
http://www-physics.ucsd.edu/~jorge/jh.html who has been trying for
more than thirty years to prove that the conventional BCS theory of
superconductivity is inadequate and that only his alternative theory
of superconductivity can explain the Meissner effect.
Hirsch compares the attitude of most experts to the BCS theory with
the attitude of the characters of the fairy tale "The Emperor's New
Clothes" by Hans Christian Andersen to the emperor's new clothes in
the article “Superconductivity, what the H? The emperor has no
clothes” published in 2020 [1]. This analogy reveals the important, if
not decisive role of majority opinion in modern science: it is
difficult to admit that the Emperor is not wearing clothes when
everyone is admiring the Emperor's new clothes. This pressure of the
majority opinion takes place not only in relation to the theory of
superconductivity, but above all in relation to quantum mechanics.
Most scientists believe in quantum mechanics rather than understand
it. Numerous interpretations call quantum mechanics into question as a
scientific theory. A scientific theory should not have
interpretations, since any scientific theory should clearly and
unambiguously say what and how it describes. Quantum mechanics has
many interpretations because its creators never spoke clearly enough
about its contradiction with realism.
The contradiction of quantum mechanics with realism does not bother
most theorists since they do not understand what Einstein understood:
realism is the presupposition of every kind of physical thinking
rather than a claim which can be disproved with any experimental
results. Last year, I demonstrated in the article [2] on the example
of obvious mistakes made in the derivation of the well-known GHZ
theorem that Einstein was right: the rejection of realism by the
creators of quantum mechanics provoked the degradation of physical
thinking. Even the degradation of physical thinking does not bother
anyone.
Mass misconceptions in modern physics have been provoked by blind
faith and even superstition. The mass misconception about quantum
mechanics was provoked by the unfounded belief that our reason is able
to describe all the phenomena that we observe without contradiction.
The mass misconception about superconductivity was provoked by a faith
in thermodynamics. This blind faith forced superconductivity experts
to forget the basics of thermodynamics. The contradiction between
books on superconductivity was provoked by the fact that the authors
of most books had to forget that work should change free energy, and
the authors of a smaller number of books forgot that free energy
cannot change during a phase transition.
You do not need to be an expert on superconductivity and even on
thermodynamics in order to understand why obvious contradictions
between books on superconductivity could have appeared. Already a
hundred years ago physicists were sure that the phenomenon of
superconductivity does not contradict thermodynamics. According to
this belief, the transition to a superconducting state occurs at a
critical temperature T_{c} when the free energy of the superconducting
state F_{s0} becomes less than of the normal state F_{n0}: F_{s0} >
F_{n0} at T > T_{c} and F_{s0} < F_{n0} at T < T_{c}. It was known
from measurements more than a hundred years ago that when the magnetic
field H in the superconducting state increases at temperature T <
T_{c}, the superconductor returns to normal state at a critical
magnetic field H = H_{c}.
The general belief predominates ninety years that the superconducting
transitions is phase transitions not only in a zero magnetic field H =
0 at T = T_{c}, but also at the critical magnetic field H = H_{c} at T
< T_{c}. Free energy should not change at any phase transition: F_{s0}
= F_{n0} at T = T_{c} and F_{sH} = F_{nH} at H = H_{c} and T <
T_{c}.As it is known from thermodynamics, a work should change free
energy. The power source of the solenoid should perform work equal to
the energy of the magnetic field VBH/2 in the volume V of the
superconductor in order to create a magnetic field H. This work A
should be equal zero A = 0 in the superconducting state, when the
magnetic flux density B = 0 in the volume V of the superconductor, and
A = E_{m} = V\mu_{0}H^{2}/2 in the normal state when B = \mu_{0}H.
Thus, according to thermodynamics, free energy should not change with
magnetic field H in the superconducting state F_{sH} = F_{s0} (the
equation (13) in my manuscript) and should increase in the normal
state F_{nH} = F_{n0} + E_{m} = F_{n0} + V\mu_{0}H^{2}/2 (the equation
(12) in my article). The equality F_{sH} = F_{nH} (the equation (14)
in my article) cannot be deduced from the inequality F_{s0} < F_{n0}
and the equations (13) F_{sH} = F_{s0}, (12) F_{nH} = F_{n0} +
V\mu_{0}H^{2}/2. In order to deduce the equality F_{sH} = F_{nH} from
the inequality F_{s0} < F_{n0}, Gorter and Casimir (Ref. [71] in my
article) used in 1934 a claim that the power source of the solenoid
should create the energy -VMH/2 of magnetization M = B - \mu_{0}H
rather than the energy of the magnetic field VBH/2. The falsity of
this claim is so obvious that it is surprising that this claim could
have been done by physicists. According to this claim and contrary to
the law of energy conservation, no work is needed in order to create a
magnetic field H in the volume V of an empty solenoid, inside which M
= B - \mu_{0}H = 0 and -VHM/2 = 0.
Despite the obvious falsity of Gorter and Casimir's claim Ref. [71],
most superconductivity experts and authors of most book Ref.
[56,66,68] believed in the thermodynamics of superconductors developed
by Gorter and Casimir, according to which the magnetic field increases
the free energy of the superconducting state F_{sH} = F_{s0} + E_{m} =
F_{s0} + V\mu_{0}H^{2}/2 (the equation (16) in my article) and does
not change of the normal state F_{nH} = F_{n0} (the equation (15) in
my article). The authors only few books in the main the future Nobel
prize winners, V.L. Ginzburg Ref. [69], P.G. de Gennes Ref. [70] and
A.A. Abrikosov Ref. [67] did not follow the thermodynamics of
superconductors developed by Gorter and Casimir. V.L. Ginzburg Ref.
[69] and P.G. de Gennes Ref. [70] deduced the equations (12), (13),
(17), (18) in my article which do not contradict the law of energy
conservation. But they had to forget that free energy should not
change at a phase transition.
The theory of superconductivity, like quantum mechanics, is a very
successful theory. Obviously, because of this success, no one noticed
the contradiction between books on superconductivity for many years.
This contradiction reveals that the conventional theory of
superconductivity cannot be true, since it is based on the
thermodynamics of superconductors developed by Gorter and Casimir,
which contradicts not only the law of energy conservation, but also
the second law of thermodynamics. The invalidity of the very
successful theory of superconductivity reveals that success does not
guarantee truth. Scientists should be more critical of even very
successful theories.
[1] J. E. Hirsch, Superconductivity, what the H? The emperor has no
clothes. APS Forum on Physics and Society Newsletter, January 2020, p.
4-9; arXiv:
https://arxiv.org/abs/2001.09496
[2] A.V. Nikulov, Physical Thinking and the GHZ Theorem. Found. Phys.
53, 51 (2023);
https://doi.org/10.1007/s10701-023-00693-y .
With best wishes,
Alexey