Spatial geometry of charged rotating and non-rotating rings in rotating and non-rotating frames

TL;DR

This paper investigates the spatial geometry of charged rings in rotating and non-rotating frames, revealing differences in geometry that could impact understanding of electron rings in tokamak plasma.

Contribution

It demonstrates that the spatial geometry of rotating charged rings differs from the rotating frame, suggesting non-flat geometries in plasma physics contexts.

Findings

Rotating charged rings have different spatial geometries than the rotating frame.

Non-flat geometries of electron rings in tokamak plasma are possible.

Interaction between charged probe and rings illustrates geometric differences.

Abstract

Spatial geometry of charged thin rotating and non-rotating rings in a rotating frame is investigated. It is shown, on an example of interaction between a charged probe and two positive charged non-rotating and negative charged rotating rings that the spatial geometry of the rotating ring in the rotating frame has to be different to the spatial geometry of the rotating frame. In the absent of direct relation between the spatial geometry rotating frame and the spatial geometry of the rotating ring in that frame the possibility of a non-flat spatial geometry of rotating electron rings in tokamak plasma is discussed.