ISSN 0001-4346, Mathematical Notes, 2018, Vol. 103, No. 1, pp. 67–74. © Pleiades Publishing, Ltd., 2018.
Rotation of a Neutron in the Coat of Helium-5
as a Classical Particle for a Relatively Large Value
of the Hidden Parameter t
V. P. Maslov
National Research University Higher School of Economics, Moscow, Russia
Received November 20, 2017
Abstract—Rotation of a neutron in the coat of helium-5 as a classical particle for a relatively large
value of the hidden parameter (measurement time) t
is considered. In consideration
of the asymptotics as N → 0, equations for the mesoscopic energy E
are given. A model for
the helium nucleus is introduced and the values of the mesoscopic parameters M
helium-4 are calculated.
Keywords: shell of the nucleus, helium-4, helium-5, helium-6, self-consistent Hartree equa-
tions, coat of helium-5, hidden parameter, mesoscopics, twisted fermion.
In , , the author introduced a hidden parameter t
(measurement time) binding together
quantum and classical mechanics. The author considered this parameter using helium-4, helium-5,
and helium-6 as examples. A detailed proof of the theorem involving the hidden parameter for helium-5
invokes a considerable number of auxiliary statements and theorems. The author, essentially, proved
and discussed all these auxiliary statements, such as approximations based on the Hartree equation in
the case of the Bose distribution in his earlier papers (see –). In particular, the author obtained
a rigorous correction to the Stefan–Boltzmann law  and proved that the formal series deﬁning the
succeeding terms are false. In Gentile statistics (parastatistics), the author also obtained a number of
estimates and lemmas (see for example, –).
In the present paper, we present only a scheme of proof of the applicability of the hidden parameter
introduced by the author  in order to explain the behavior of the neutron in the coat of helium-5.
The detailed proof is contained in the asymptotics obtained by the author earlier. Here we shall present
the material in such a way as, on the one hand, to make it accessible to mathematicians who studied the
author’s papers and, on the other hand, to make it clear to nuclear physicists.
The parameter under discussion in this and other papers of the author is not hidden in the sense that
was attributed to it by the authors of the Einstein–Podolsky–Rosen paradox (EPR). This parameter is
a completely natural and clear parameter. In the quotation from the book  dealing with the identity of
the particles often referred to in the author’s papers, this parameter is veiled: this is the “instant of time,”
at which the numbering of particles is achieved. They wrote: “the particles belongingtoagivenphysical
system can be considered as ‘numbered’ at some instant of time [13, p. 252 of the Russian edition].” It
is the time during which the particles were numbered that was introduced as an additional parameter
in , ,  and which is considered in the present paper. This time depends on the algorithm used for
the numbering of particles. The time needed for the operation of the algorithm, in turn, depends on the
computing facilities. Thus, this parameter is not hidden, but is veiled; it can be determined exactly only
under a large number of additional conditions.
The article was submitted by the author for the English version of the journal.