This volume deals with the fundamental concepts of space, time and matter. It presents a novel reformulation of both the special and general theory of relativity, in which time does not constitute the fourth dimension in a conventional 4-dimensional space-time. Instead, the role of time is played by the flow of a vector field on a 3-dimensional space. The standard models of de Sitter, Schwarzschild and Kerr space-times are reformulated in a purely 3-dimensional manifold.The volume also presents a theory of matter in which the fundamental particles, such as baryons and leptons, appear as a result of an interaction between left-handed and right-handed 2-component Weyl neutrinos. The Appendices contain a comprehensive treatment of classical mechanics in terms of Hamiltonian vector fields on symplectic manifolds. Graduate students of mathematical physics or theoretical physics, as well as academics, will find this volume of interest.Contents:Space and Time:IntroductionThe Hyperbolic Structure of the SpaceRelativistic Kinematics on 3-ManifoldsClass of Inertial Observers and Generalized Lorentz MatricesClassical Relativistic Field DynamicsRelativistic Field Dynamics on 3-ManifoldsFlat-Space SolutionsThe de Sitter SolutionA New Solution of the Vacuum Einstein Field EquationsA Solution of Mathematical InterestThe Schwarzschild SolutionFrom Space-Time 4-Metric to 3-Metric and 3-Vector FieldThe Kerr SolutionThe Maxwell EquationsMatter:IntroductionThe Photon and the Weyl NeutrinosA Neutrino Theory of MatterReadership: Graduate students and researchers in mathematical physics and theoretical physics.