Weyl Geometry and Quantum Corrections

TL;DR

This paper explores how Weyl Geometry can be used to geometrize quantum theory and gravity, leading to modifications in quantum and electromagnetic equations within a unified classical field framework.

Contribution

It demonstrates the potential of Weyl Geometric framework to unify quantum mechanics and gravity through geometric modifications of fundamental equations.

Findings

Quantum equations are modified by Weyl Geometry

Maxwell's equations are extended in this framework

Potential for a unified classical field theory of quantum gravity

Abstract

Recent research in the geometric formulation of quantum theory has implied that Weyl Geometry can be used to merge quantum theory and general relativity consistently as classical field theories. In the Weyl Geometric framework, it seems that both quantum theory and gravity can merge consistently, once quantum theory is geometrized. The extended differential geometry can modify the quantum mechanical results into a more general nonlinear framework. Author shows that, how the extended differential geometry modifies the known quantum equations and also the modification to the Maxwell's electromagnetic equations.