Hermann Minkowski 1864 - 1909 Home Mission Founders Affiliated Members Research Strategy Research Foundational Knowledge News Our Sponsors Offered Courses Hermann Minkowski Links Minkowski Institute Press Spacetime Society Minkowski Meetings 2016 Spacetime Conference 2008 Spacetime Conference 2006 Spacetime Conference 2004 Spacetime Conference

Main Affiliation: Institute of Solid State Chemistry and Mechanochemistry, SR Lab Novosibirsk, Russia Email: zhogin@mail.ru

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; 2^d-order, non-Lagrangian) of the frame field h ^a_μ, 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 g_μν = η_ab h ^a_μ h ^b_ν where η_ab 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 interact; so the overall picture turns out to be complex and interesting.

Publications (ResearchGate and arXiv)