Further Exploration of the Gauge Transformation across Fundamental Interactions

Abstract

This paper constructs a gauge transformation where two photons convert into a graviton, revealing that the graviton can be viewed as a result generated by the interaction of two photons through gauge transformations that traverse different fundamental interactions, and vice versa. So it can be speculated that at any spacetime point in our universe, there exists a corresponding the generalized gauge transformation for each fundamental interaction (such as gravitation, electromagnetism, strong or weak interaction). This generalized gauge transformation corresponds to a specific physical process, allowing the conversion from one fundamental interaction to another. This significant conclusion indicates that the theory of principal fiber bundles and its geometric picture of the universe exhibits remarkable adaptability, capable of encompassing both quantum systems and general relativity systems. This characteristic allows the theory to bypass many difficulties faced in the construction of quantum gravity, providing a seamless unification of quantum effects and classical gravity, and presenting a new research pathway.