Space, Time and Matter

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.

Sample Chapter(s)
Space and Time (295 KB)

Contents:Relativistic Kinematics and Dynamics on 3-ManifoldsGauss–Einstein Equations on 3-ManifoldsThe de Sitter, Schwarzschild and Kerr Space-TimesA New Solution of the Vacuum Einstein Field EquationsWeyl Neutrinos and the PhotonA Neutrino Theory of MatterDynamical Vector Fields of Classical Mechanics
Readership: Graduate students and researchers in mathematical physics and theoretical physics.