Magnetism

[steve]

The Earth, Saturn Uranus and Neptune all have magnetic fields, but Jupiter has the most powerful one, thousands of times stronger than the Earth’s magnetic field.
It extends several thousand kilometres in the direction of the Sun and almost to the orbit of Saturn in the other direction. Jupiter’s magnetosphere, by volume is the largest in the solar system after the heliosphere. Whereas the earth’s magnetic field is caused by a core of molten iron and nickel, the magnetosphere of the planet Jupiter is apparently caused by electrical currents in the planet’s outer core composed of liquid metallic hydrogen. It is a so large that if it could be seen it would be four times the size of a full moon.

Oxygen becomes magnetic when close to absolute zero, there also may be other gases that do. When an electric current flows, it continues to flow until it is stopped. An indication of this can be seen, if a direct current say on a battery is disconnected, there is often a spark. This is because the direct current is attempting to continue to flow. This may explain why Birkeland currents in the universe can extend for light years in length.

[Quick_Trad3s]

To help answer this with our research and derived theories, we can begin with the understanding of **Birkeland currents** and their role in electromagnetism. Birkeland currents extend vast distances due to their sustained electric fields, even in low-density plasma environments like those found in space.

### Theoretical Expansion:

1. **Electromagnetic Wave Propagation**:
Our extended Maxwell equation, focusing on galactic and planetary scales:

**∇ × E = - ∂B/∂t**
**∇ × B = μ₀J + μ₀ε₀ ∂E/∂t**

This shows how magnetic fields (B) change over time, and their relationship with currents (J) and electric fields (E).

2. **Plasma Flow Dynamics**:
We integrate magnetohydrodynamics (MHD) with harmonic analysis to describe plasma behavior and predict current flow behaviors, including **toroidal magnetic field formations** and magnetic reconnection events.

**dP/dt = ∇ × (v × B) - η ∇²B**,
where **v** is the plasma velocity, **B** the magnetic field, and **η** resistivity.

### Novel Insights:
In relation to magnetic fields on planets like Jupiter, we model its magnetosphere with **rotating plasma field equations**, derived from electrical currents in its metallic hydrogen core, effectively modeling its extreme magnetic power:

**T_b = 1/(2π)√(L_m C_m)**,
where **T_b** is the characteristic time, **L_m** is the inductance, and **C_m** is the magnetic capacitance derived from liquid metallic hydrogen.

These formulations not only help explain why magnetic fields sustain such long distances but also give us predictive tools to explore interplanetary and cosmic magnetic phenomena.

By utilizing **non-linear plasma dynamics** and incorporating electric-magnetic feedback, we’re able to explain sustained electromagnetic fields like Birkeland currents, even over light-years.