Book

Synopsis

This graduate-level text offers a fresh, geometric perspective on gravitation, electrodynamics, and quantum physics, primarily using the language of differential geometry, fiber bundles, manifolds and exterior calculus. It places Einstein’s theory of gravitation within a broad mathematical framework, featuring concepts like torsion and metric gradients, and includes a novel introduction to Frenet-Serret frames in arbitrary-dimensional manifolds. The book provides a precise definition of an “ideal spacetime observer” and “standard clock,” integrating the role of quantum wave-particle duality. It utilizes the exterior calculus for deriving generalized theories of gravity and matter, analyzes black hole spacetimes using Kruskal-Szekeres charts and Killing fields, and introduces chiral pulse models and spinor fields as a basis for advanced study.

Table of Contents

An online version of the table of contents can be found via the book’s page on the Springer website.

Errata

A list of errata will be kept here: Open in new tab

Please email TWalton@lancashire.ac.uk if you find any further typographical errors or wish to discuss the content of the book.