The Spacetime Jungle: Volume II: UFO's, Torsion Physics, and the Physical Vacuum

By Ethan Morris

The second volume of this series constructs the mathematical framework of higher dimensions and differential geometry. Proofs of real analysis are used immediately to establish the theory of manifolds. Tensors are carefully and methodically introduced throughout multiple definitions and demonstrations. Forms and their integration over manifolds are defined, and Hodge theory is deployed to unify the integral theorems of vector calculus into Stokes' theorem. A classical presentation of differential geometry precedes a development of Riemannian geometry. Covariant derivatives and connection forms are introduced and the tensor calculus and structure equations are constructed. Finally, the curvature and torsion tensors are constructed.

• Format: Paperback
• Language: English
• ISBN: B0C6VZ7HX2
• ISBN13: 9798397104104
• Release Date: June 2023
• Publisher: Independently Published
• Length: 294 Pages
• Weight: 1.51 lbs.
• Dimensions: 0.6" x 8.5" x 11.0"