This is a collection of articles on fundamental physical principles and methods, the topics ranging from matrix models, random surfaces, quantum dots and rings, to black holes, cosmology and testing of the tiny effects predicted by General Relativity. Among the authors are Sir Roger Penrose and other well-known experts and the articles are addressed to graduate students and researchers. The volume is a Festschrift to a noted physicist and mentor Sergei Matinyan.

Description-Table Of Contents

A matrix model representation of the integrable XXZ Heisenberg chain on random surfaces / J. Ambjorn and A. Sedrakyan -- Magnetization and concurrence properties of diamond chain: two approaches / N. S. Ananikian ... [et al.] -- Complete [symbol] contribution to [symbol] theory of QHE / H. M. Asatrian ... [et al.] -- Non-trivial holonomy and calorons / P. van Baal -- SU(N) and O(N) off-shell nested Bethe ansatz and form factors / H. Babujian, A. Foerster and M. Karowski -- Spontaneous breaking of Lorentz-invariance and gravitons as goldstone particles / Z. Berezhiani and O. V. Kancheli -- On emergent gauge and gravity theories / J. L. Chkareuli -- Geodesic motion in general relativity: LARES in earth's gravity / I. Ciufolini ... [et al.] -- Quantum dots and quantum rings: real low dimensional systems / I. Filikhin, S. G. Matinyan and B. Vlahovic -- Collective states of D[symbol] non-Abelian anyons / P. E. Finch and H. Frahm -- Effective Hamiltonian for the half-filled spin-asymmetric ionic Hubbard chain with strong on-site repulsion / I. Grusha and G. I. Japaridze -- Hyperbolicity vs randomness in cosmological problems / V. G. Gurzadyan and A. A. Kocharyan -- Electromagnetic properties of neutrinos at an interface / A. N. Ioannisian, D. A. Ioannisian and N. A. Kazarian -- Correlations in cosmological and noncosmological signals / H. G. Khachatryan ... [et al.] -- Big bounce and inflation from gravitational four-fermion interaction / I. B. Khriplovich -- Capture and ejection of dark matter by the solar system / I. B. Khriplovich -- Topological theory of QHE / M. Kohmoto -- QCD string as an effective string / Y. Makeenko -- The mug: on E = MC2 and relativity theory in the mass culture / L. B. Okun -- New Chern-Simons densities in both odd and even dimensions / E. Radu and T. Tchrakian -- Spherical shell cosmological model and uniformity of cosmic microwave background radiation / B. Vlahovic -- Photon """"mass"""" and atomic levels in a superstrong magnetic field / M. I. Vysotsky -- Constraints on parameters of the black hole at the galactic center / A. F. Zakharov ... [et al.] -- Diffusion in two-dimensional disordered systems with particle-hole symmetry / K. Ziegler.