The Spacetime Jungle: Volume 2: Differential Geometry, Torsion Physics, and Superterrestrial Cosmology (The Spacetime Jungle (Second Edition))

This book series outlines the mathematics, geometry, and physics of the superterrestrial theory of astrospheric cosmology. Central to its development is the reestablishment and emphasis of geometry in the early fundamentals of mathematics and physics, a feature long devoid from many modern presentations of these subjects. Such an emphasis leads naturally to the torsion physics of spacetime and its hypothetical extensions. From the considerations of cosmic plasma, the evolution of life by natural selection, and scale relativity, a higher, superterrestrial geosphere organically emerges as a direct consequence and prediction of Darwin's theory. Thus, in the astrosphere, gravitationally propelled life-forms in the form of UFOs are featured as a direct and obvious consequence of the theory, and the human-like nature of occupants are naturally explained. Furthermore, its framework provides a sensible, cosmological foundation for a fractal spacetime, a promising new route to the reconciliation of quantum mechanics with a fully generalized general relativity. Volume Two continues the mathematical developments of Volume One, establishing the differential geometry of manifolds, the language of tensors and forms, and the tensor calculus needed for the spacetime physics of Volume Three. Read more