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Ivan Zhogin
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Main Affiliation:
Institute of Solid State Chemistry and Mechanochemistry, SR Lab
Novosibirsk, Russia
Email: zhogin@mail.ru
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Main Degrees:
- PhD in Theoretical Physics
Tomsk State University, Faculty of Physics, Tomsk
Opponents: Prof. Dr. Ioseph Buchbinder, Dr. Vladimir Pershin
Thesis: Research in theory of Riemannian spaces with Absolute Parallelism
Defended on May 8, 1996.
- MSc in Physics (Elementary particles)
Novosibirsk State University, Novosibirsk (1981)
Supervisor: Dr. Alexander Mikhailichenko
Thesis: Elements of power semi-relativistic klystron with
magnetic separation
My Minkowski Institute related research:
In my opinion, the theory of Absolute Parallelism
(AP; an abstract)
is of interest for physics geometrization (aka Hilbert's problem #6).
There is a unique variant of the theory, the exceptional equation (EE; 2d-order, non-Lagrangian)
of the frame field h aì, whose solutions seem to be free
from singularities if D=5 (D=4 is just forbidden for EE; one can extend the compatibility analysis to
degenerate, but finite, co(contra)-frame matrices).
The additional spatial dimension manifests itself both in the cosmological expansion (there are spherically symmetric
non-stationary solutions as a longitudinal wave running along the radius and forming a cosmological waveguide, a region with non-zero Ricci tensor), and also in the nonlocal behavior of elementary particles
(large size along the extra ("undeveloped") dimension; localized configurations of the frame field can carry discrete information - topological charges and, if
configuration has some symmetry, topological quasi-charges).
It seems the frame field is only twice as "large" in number of components (D2 - D) compared to vacuum GR
(in AP the metric
gìí = çab h aì h bí
where çab is the Minkowski metric).
However, the increase in the number of polarizations (polarization degrees of freedom, PDF) is more pronounced:
D(D-2)=15 compared to D(D-3)/2 =5, the number of GW-polarizations.
Finally, it is necessary to introduce auxiliary 4D-fields (quantised avatar-fields) for phenomenological description of topological (quasi)particles prone to interect;
so the overall picture turns out to be complex and interesting.
Publications (ResearchGate and arXiv)
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