Geometrodynamics of Gauge Fields: On the Geometry of Yang-Mills and Gravitational Gauge Theories. Second Edition

Abstract

This revised monograph still aims at a unified geometric foundation of gauge theories of elementary particle physics and gravity. The underlying geometric structure is unfolded in a coordinate-free manner via the modern mathematical notions of fiber bundles, exterior differential forms, and their Cliffordalgebra-valued generalizations. In the first part, Maxwell theory is treated as the simplest example, with an emphasis on the more recent measurement of the vector potential 1-form A via electron interference.