Phenomenological Implications of a Magnetic 5th Force

TL;DR

This paper explores the potential effects of a magnetic 5th force analogous to an electric one, influenced by Earth's rotation, which could alter the expected characteristics of such a force and merits further study.

Contribution

It introduces the concept of a magnetic 5th force field and analyzes its phenomenological implications, expanding the theoretical framework of fifth force interactions.

Findings

Magnetic 5th force could significantly alter force magnitude and direction.

Presence of Earth's rotation affects the properties of the magnetic 5th force.

Further experimental investigation is warranted.

Abstract

A 5th force coupling to baryon number $B$ has been proposed to account for the correlations between the acceleration differences $\Delta a_{ij}$ of the samples studied in the E\"{o}tv\"{o}s experiment, and the corresponding differences in the baryon-to-mass ratios $\Delta(B/\mu)_{ij}$. To date the E\"{o}tv\"{o}s results have not been supported by modern experiments. Here we investigate the phenomenological implications of a possible magnetic analog $\vec{\mathscr{B}}_5$ of the conventional 5th force electric field, $\vec{\mathscr{E}}_5$, arising from the Earth's rotation. We demonstrate that, in the presence of couplings proportional to $\vec{\mathscr{B}}_5$, both the magnitude and direction of a possible 5th force field could be quite different from what would otherwise be expected and warrants further investigation.