Generalized Faraday law derived from classical forces in a rotating frame

TL;DR

This paper derives a generalized Faraday law incorporating spin-dependent classical forces caused by rotation, unifying the traditional Faraday law with a spin-Faraday law through geometric phase considerations.

Contribution

It introduces a classical force-based derivation of a unified spin-Faraday law, connecting spin dynamics with electromagnetic induction.

Findings

The spin-dependent force is essential for the spin-Faraday law.

The generalized law unifies electromagnetic induction with spin geometric phases.

The contribution of the spin force matches that of the geometric phase.

Abstract

We show the additional spin dependent classical force due to the rotation of an electron spin's rest frame is essential to derive a spin-Faraday law by using an analogy with the usual Faraday law. The contribution of the additional spin dependent force to the spin-Faraday law is the same as that of the spin geometric phase. With this observations, Faraday law is generalized to include both the usual Faraday and the spin-Faraday laws in a unified manner.