# Topological Implications of the Total Generalized Electron-Flow Magnetic Helicity Invariant in Electron Magnetohydrodynamics

## TL;DR

This paper investigates how the invariance of a specific helicity in electron magnetohydrodynamics influences the topology of magnetic and electron-flow vorticity fields, suggesting a mechanism for magnetic reconnection.

## Contribution

It demonstrates that the total generalized electron-flow magnetic helicity invariance links magnetic and vorticity field line linkages, supporting topology change and reconnection in EMHD.

## Key findings

- Helicity invariance implies linkage invariance of magnetic and vorticity fields.
- Supports the possibility of magnetic reconnection via topology change.
- Provides a topological framework for EMHD processes.

## Abstract

Topological implications of the total generalized electron-flow magnetic helicity He in electron magnetohydrodynamics(EMHD) are explored. The invariance of He is shown to imply the invariance of the sum of the linkage of the magnetic field lines, the linkage of electron-flow vorticity field lines and the mutual linkage among these two sets of field lines. This result appears to support a change in the magnetic field topology and hence pave the way for magnetic reconnection in EMHD via a change in the concomitant electron-flow vorticity topology.