A quantum description for charged fermions in strong gravitational field

TL;DR

This paper develops a quantum equation for charged fermions falling in strong gravitational fields, linking electromagnetism and gravity, and predicts phenomena like CP violation and conformal symmetry breaking.

Contribution

It introduces a novel quantum description based on conformal symmetry hypotheses, addressing the quantum effects of charged fermions in strong gravity.

Findings

Equation accounts for strong CP violation at Big Bang

Left-handed fermion equation breaks conformal symmetry

Proposes an experiment to test predictions

Abstract

The falling charge puzzle in gravitational field is well known due to the discussions of radiation. The puzzle lies in the heart of linking the electromagnetism and gravity. Up to date few discussions have fully taken account of quantum effect of a falling charged-fermion in strong gravitational field from the first principle. Based on the hypothesis that 4-dimension conformal symmetry may underly its dynamics, in this paper we try to establish a quantum equation for the falling process. The resultant equation provides a manner accounting for the strong CP violation at the beginning of the Big Bang. Moreover, it turns out that the equation for left-handed fermions breaks the conformal symmetry and has a tensor-like eigen value. A proposed experiment for testing the predictions is also suggested.