Relativity and Non-Euclidean Geometry

Author: Fei Baojun
Publisher:
Publish Date: 2005-05-01
Features: This book first introduces the fundamental knowledge of differential geometry and the basic theorems of non-Euclidean geometry. Then, it systematically discusses the relationship between special relativity and non-Euclidean geometry, linking the physical invariance of intervals to the geometric invariance of line elements. Based on this foundation, it rigorously derives the theories of special relativity dynamics and electrodynamics. The book also briefly outlines the geometrization of gravity in general relativity and the non-Euclidean characteristics of curved spacetime. Finally, it analyzes the theoretical structure of the harmony and unification of relativity from the perspective of invariance or symmetry.