Speaker
Description
As is well known, in quantum field theory (QFT) the quantum vacuum (QV) is
represented as an infinite set of different fluctuating virtual particles
and fields in four-dimensional Minkowski space-time. In this connection, a
natural question arises: what is the structure of QV, when the latter is
in a state of statistical equilibrium and there is no external influence
on it? It is obvious that satisfactory answers to these non-trivial
questions we can obtained only within the framework of non-perturbative
quantum field models. In this paper, we consider the quantum equation of a
massless field in the fluctuating four-dimensional Minkowski space-time,
which is equivalent to an uncountable-dimensional space-time. As the basic
equation is used the Langevin type stochastic matrix equation, regardless
of the formalism of second quantization. It is assumed that, on small
four-dimensional space-time intervals, the quantum field equation
coincides with a regular matrix equation analogous to the Weyl equation
for a neutrino. It is proved that in the statistical equilibrium limit the
initial uncountable space-time is reduced to a ten-dimensional space-time,
where four dimensions are Minkowski space-time, and the remaining six
dimensions are compact topological subspaces. In detail is studied
conditions of quantization of vacuum fields in compact subspaces and it is
shown that these quantized states can claim the role of dark energy. It is
shown that even weak external electromagnetic fields are capable of
deforming compact subspaces, because of which the refractive indices of a
vacuum can vary measurably. The latter, in particular, means that the
developed representation allows for the existence of a new mechanism of
interaction between photons through the deformation of compact subspaces,
which is fundamentally differ from the usual mechanisms of photon-photon
scattering, described by the fourth order Feynman's diagrams.
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