Consideration of the relationship between Kepler and cyclotron dynamics leading to prediction of a non-MHD gravity-driven Hamiltonian dynamo

TL;DR

This paper explores how charged dust grains with zero canonical angular momentum can spiral inward under gravity, creating a non-MHD dynamo that converts gravitational energy into electrical power.

Contribution

It introduces a novel gravitationally-driven dynamo mechanism involving dust grains with specific charge-to-mass ratios, expanding understanding of plasma dynamics beyond traditional MHD models.

Findings

Charged dust grains can have zero canonical angular momentum.

Such grains spiral inward, generating a gravitational dynamo.

This mechanism can convert gravitational energy into electrical energy.

Abstract

Conservation of canonical angular momentum shows that charged particles are typically constrained to stay within a poloidal Larmor radius of a poloidal magnetic flux surface. However, more detailed consideration shows that particles with a critical charge to mass ratio can have zero canonical angular momentum and so be both immune from centrifugal force and not constrained to stay in the vicinity of a specific flux surface. Suitably charged dust grains can have zero canonical angular momentum and in the presence of a gravitational field will spiral inwards across poloidal magnetic surfaces toward the central object and accumulate. This accumulation results in a gravitationally-driven dynamo, i.e., a mechanism for converting gravitational potential energy into a battery-like electric power source.