The Foundations of Natural Law

The Theory of Everything Unveiled
Everyone knows that mathematics is the language of science. As such, the book is geared toward those individuals with high-level mathematical skills. The book begins by presenting the geometric constructs that underlie curved global and local spaces. The properties of these connections are then examined in detail. The global distortion connector is shown to be related to the gravitational field. Next, the connector associated with both global and local distortions is examined and shown to be related to the electromagnetic field. Finally, the connector associated with purely local distortions is shown to account for the underlying structure of particles. In summary, the book shows the connection between the distortions in the space-time continuum with the gravitational, electromagnetic, and nuclear forces. On examining the properties of the space-time connector (i.e., metric), the book develops Einstein's free-field curvature tensor that underlies the theory of general relativity. In a similar manner, Maxwell's electromagnetic field equations are derived. From the macroscopic observer perspective, the group theory that underlies the "Standard Model" for particle interactions is presented. Finally from the microscopic observer perspective, the local distortions are shown to be best described using wave equations. The resulting wave equations are found to be those commonly used in quantum field theory for free particles.