Spin Rotation by Earth's Gravitational Field in a "Frozen-Spin" Ring

TL;DR

This paper presents detailed calculations of how Earth's gravity affects spin rotation in a frozen-spin ring, proposing a method to measure the spin-gravity interaction using electrons to improve precision in electric dipole moment experiments.

Contribution

It provides a comprehensive analysis of spin rotation due to Earth's gravity in different coordinate systems and suggests a novel experimental approach to measure spin-gravity effects with electrons.

Findings

Systematic error in EDM measurement can be precisely determined.

Spin-gravity effects can be measured using a dedicated frozen-spin ring with electrons.

Calculations confirm the feasibility of detecting Earth's gravitational influence on spin.

Abstract

Detailed calculations of spin rotation by the Earth's gravitational field in a frozen-spin ring are presented in three different coordinate systems and used (a) to show that the systematic error caused by gravitation in a proposed electric dipole moment measurement can be unambiguously determined, and (b) to propose measuring the spin-gravity effect in a dedicated frozen-spin ring using electrons.