The Geometric Origin of the CP Phase

TL;DR

This paper demonstrates that the CP-violating phase in systems like neutral kaons and the CKM matrix has a geometric origin, akin to a Berry phase, providing a new perspective on CP violation.

Contribution

It reveals that the CP phase in neutral kaons and the CKM matrix can be understood as a geometric or Berry-like phase, offering a novel interpretation of CP violation.

Findings

The CP phase in neutral kaons is of geometrical origin.

The CKM matrix's complex phase is a Berry-like phase.

Provides a geometric framework for understanding CP violation.

Abstract

The complex phase present in CP-violating systems such as neutral kaons is shown to be of geometrical origin. It is also concluded that the complex phase of the Cabibbo--Kobayashi--Maskawa (CKM) matrix is a Berry-like phase.