Institute for Foundational Studies
Hermann Minkowski

 
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

Ivan Zhogin


    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; 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)