Compounding Fields and Their Quantum Equations in the Curved Spaces

Abstract

Based on the concept of curved spacetime in Einsteinian General Relativity, the field theories and their quantum theories in the curved octonion spaces etc are discussed. The research results discover the close relationships of the curved spacetimes with the field theories and quantum theories. In the field theories of curved spacetimes, the curvatures have direct effect on field strength and field source etc. While the curvatures have direct impact on wave functions and quantum equations etc in the quantum theories of curved spacetimes. The research results discover that some abnormal phenomena of field source particles could be explained by the field theories or quantum theories in the curved spacetimes.