On a sidereal time variation of the Lorentz force

TL;DR

This paper investigates potential sidereal time variations in the Lorentz force affecting beam trajectories in cyclotrons, aiming to detect extremely subtle anisotropies in the speed of light that could indicate new physics.

Contribution

It proposes a method using counter-propagating beams in a cyclotron to test for Lorentz force variations with unprecedented sensitivity.

Findings

Potential to detect Lorentz force variations at the level of 10^{-10}

Sensitivity to speed of light anisotropy at 10^{-18}

Provides a new experimental approach for fundamental physics tests.

Abstract

We consider a search for a sidereal time variation of the beam trajectory in the cyclotron motion in a static magnetic field. The combination of two beams moving in opposite directions could allow a test of the radius stability with sensitivity approaching $10^{-10}$. Such a level of variation of the Lorentz force, if it exists, would require a speed of light anisotropy on the level of $10^{-18}$.