1. Standard Model of Primordial Nucleosynthesis and Observations of Light Elements.- Standard Model of Primordial Nucleosynthesis: A Few General Remarks.- The Abundances of D, He and Li Test and Constrain the Standard Model of Cosmology.- Lithium, Beryllium and Boron: Observational Constraints on Primordial Nucleosynthesis.- The Evolution of the Galactic Lithium Abundance.- Chemical Evolution of Galaxies.- The Effect of Some Nonequilibrium Processes on the Primordial Nucleosynthesis.- Analysis of the Reaction 7Li(d, n)8Be at Subcoulomb Energies.- Experimental Study of the Key Reaction to the Nucleosynthesis in the Inhomogeneous Big Bang Models.- Primordial Black Holes and Big Bang Nucleosynthesis.- Constraints from Primordial Nucleosynthesis on Neutrino Degeneracy.- 2. QCD Phase Transition and Nucleosynthesis in Inhomogeneous Universes.- Strange Quark Matter in Physics and Astrophysics.- Primordial Nucleosynthesis in Inhomogeneous Universe.- Sterile Neutrinos in the Early Universe.- Could Cosmic QCD Phase Transition Produce Strange Quark Matter Which Survives until the Present Time?.- Multi-Zone Calculation of Nucleosynthesis in Inhomogeneous Universe and Be-9 Abundance.- Signatures of Inhomogeneity in the Early Universe.- Diffusion Coefficients of Nucleons in the Inhomogeneous Big Bang Model.- Reactions on Carbon-14.- Survival of Strange Matter Lumps Formed in the Early Universe.- Measurement of the Cross Section of the 12C(n, g)13C Reaction at Stellar Energy.- Inhomogeneous Universes in the Framework of Lattice QCD.- 3. Inflation and very Early Universe.- The Beginning of the Universe.- Extended Inflationary Cosmology: A Primer.- The Inflation Sector of Extended Inflation.- Inflation in Generalized Einstein Theories.- Baryogenesis in the Universe.- Formation of Topological Defects in the Inflationary Universe.- Non-Zel'dovich Fluctuations from Inflation.- Magnetic Theory of Gravitation.- Chaotic Inflation and the Omega Problem.- Late-Time Cosmological Phase Transitions.- False-Vacuum Decay in Generalized Extended Inflation.- Reconciling a Small Density Parameter to Inflation.- Soft Inflation: A Model for Easing Constraints.- Stochastic Inflation Lattice Simulations: Ultra-Large Scale Structure of the Universe.- Purely Quantum Derivation of Density Fluctuations in the Inflationary Universe.- Constraints on the Coupling of Weakly-Interacting Particles to Matter from Stellar Evolution.- Formation and Evolution of Domain-Wall-Networks.- Catastrophe of Spacetime in the Early Universe.- (2+1)-Dimensional Quantum Gravity.- A Stringy Universe Scenario.- The Constant-Mean-Curvature Slicing of the Schwarzschild-de Sitter Space-Time.- Schwarzschild-de Sitter Type Wormhole and Cosmological Constant.- 4. Background Radiation.- COBE: New Sky Maps of the Early Universe.- Large Scale Cosmic Instability.- Gas-Induced Primary and Secondary CMB Anisotropies.- Cosmic X-Ray Background.- Large Scale Anisotropy of the CMB in an Open Universe and Constraints on the Models of Galaxy Formation.- 5. Dark Matter.- The Best-Fit Universe.- LEP Physics and the Early Universe.- A Search for Dark Matters in the Kamiokande II.- Baryonic Dark Matter.- Phenomenological Dark Matter Detection Rate-form WIMP to SIMP-.- 6. Galaxies and AGN.- X-Ray Iron Line of Cluster of Galaxies.- Dynamical Evolution of Compact Groups of Galaxies.- Correlations of Spin Angular Momenta of Galaxies.- Formation of Bipolar Radio Jets and Lobes from Accreton Disk around Forming Blackhole at the Center of Protogalaxies.- An Evolutionary Unified Scheme for Radio-Loud Quasars and Blazars.- Magnetohydrodynamical Energy Extraction from a Kerr Black Hole.- Spherical Symmetric Model for Calculating Large Peculiar Velocities of Galaxies.- On the Origin of Cosmological Magnetic Fields.- 7. Large Scale Structure.- The Hawaii Deep Survey-Implications for Cosmology and Galaxy Formation.- Analysis of the Large Scale Structure with Deep Pencil Beam Surveys.- Distance to the Coma Cluster and the Va.