Gravity particles and space-time : Life is a game of chess against God. God will be a winner, of course. The number of moves is a question only

This volume comprises original and review articles on the frontier problems of the gravitation theory, theoretical and mathematical physics. The volume is dedicated to the memory of Professor Dmitri Ivanenko who made the great contribution to the physical science of the twentieth century. On D.D. Ivanenko / N.P. Konopleva -- The problem of exact integration of mathematical physics equations in curved space-times / V.G. Bagrov, V.V. Obukhov and K.E. Osetrin -- Global existance theorems for Einstein equations in high dimensions / Y. Choquet Bruhat -- A gauge-invariant theory of motion of charged test particles / D. Chruściśński and J. Kijowski -- Extension of classical dynamics. The case of anharmonic lattices / I. Prigogme and T. Petrosky -- Heisenberg picture for quantized fields interacting with nonstationary electromagnetic or gravitational background / A.A. Lobashov and V.M. Mostepanenko -- General relativity as a gauge theory of orthogonal groups in three dimensions / M. Raiteri, M. Ferraris and M. Francaviglia -- An Einstein-like covariance group within the Yang-Mills gauge of QCD / Y. Ne'eman and D. Šijački -- Generalized conformal invariance and gauge theory of gravity / B.N. Frolov -- Quantum spacetime / D. Finkelstein, H. Saller and Z. Tang -- Classical gravitational field theory and Mach principle / A.A. Logunov -- Jacobi's principle and Hertz' definition of time / H.-J. Treder, U. Bleyer and D.-E. Liebscher -- Yang-Mills-Clifford version of the chiral Einstein action / E. Mielke [und weitere] -- Affine theories of gravitation with torsion / G. Giachetta and L. Mangiarotti -- Placing limits on Cartan's torsion from non-Riemannian crystals / L.C. Garcia de Andrade -- Spin-gravity interactions / G. Papini and D. Singh -- Spinors as differential forms, and applications to electromagnetism and quantum mechanics / W.A. Rodrigues, Jr. and J. Vaz, Jr. -- Field theory of the electron: spin and Zitterbewegung / E. Recami and G. Salesi -- Isotopic unification of gravitation and relativistic quantum mechanics and its universal isopoincaré symmetry / R.M. Santilli -- Black holes, time arrow, and vacuum in quantum electrodynamics / M.E. Gertsenstein -- Rotating boson stars / E. Mielke and F. Schunck -- On cosmic rotation / V.A. Korotky and Yu. N. Obukhov -- One-loop background calculations in the general field theory / P.I. Pronin and K.V. Stepanyantz -- Energy-momentum superpotential in gravitation theory / G. Giachetta and G. Sardanashvily -- A new look at Dirac's theory of constrained systems / O. Krupková A gauge-invariant theory of motion of charged test particles, D. Chruscinski and J. Kijowski Heisenberg picture for quantized fields interatcting with nonstationary electromagnetic or gravitational background, A. A. Lobashov and V. M. Mostepanenko general relativity as a gauge theory of orthogonal groups in three dimensions, M. Raiteri et al quantum spacetime , D. Fikelstein et al Jacobi's principle and Hertz' definition of time, H-J Treder et al placing limits on Cartan's torsion from non-Reimannian crystals, L.C. G. de Andrade spinors as differential forms and applications to electromagnetism and quantum mechanics, W. A. Rodrigues and J. Vaz black holes, time arrow and vacuum in quantum electrodynamics, M. E. Gertsenstein one-loop background calculations in the general field theory, P. I. Pronin and K. V. Stepanyantz energy-momentum superpotential in gravitation theory, G. Giachetta and G. Sardanashvily. This volume comprises review articles on the frontier problems of the gravitation theory, theoretical and mathematical physics. It is dedicated to the memory of Professor Dmitri Ivanenko, who made a great contribution to the physical science of the 20th century.