### Maintenance problem for the Earth's magnetic field

In Science Daily there was an interesting popular article about what might be called maintenance problem for Earth's magnetic field, which has very important functions such as serving as a shield against cosmic rays which is very dangerous for life.

The understanding of the Earth's magnetic field, call it B_{E} for shortly, is indeed still far from complete. One problem is to understand why it can exist stable at all. The idea is that the convective heat flow from the core of Earth provides the needed energy to compensate for the dissipation. Also the understanding of the orientation reversals of B_{E} is poor I remember that numerical simulations can reproduce them.

The popular article explained work by Zhang, Cohen and Haule in which the problem related to the maintenance of convective flow is claimed to be solved. If the conductivity and thus heat conductivity in core is low enough, heat conduction is replaced with convection and this creates the flow of charge too and one obtains convective roll pattern which gives rise to the current taking care that B_{E} is preserved. The problem is that the conductivity is too high in the metal core. The proposal is that an improved model for the conductivity taking care of electron-electron scattering cures the problem. Knowing how hypish science communications are nowadays, I would not take this claim as final truth.

The problem requires study of Maxwell's equations (for explicit equations see this).

- The first basic equation for B
_{E}is Faraday' equation stating that time derivative of B_{E}is the rotor of electric field. This is true in TGD too as is also the equation stating that there are no magnetic monopoles. In TGD CP_{2}topology however allows monopole fluxes, which can exist without any generating currents. Second basic equation is Ohm's law saying that current is proportional to electric field: the proportionality constant is conductivity σ.

Together these equations give a partial differential equation for B

_{E}containing diffusion term proportional to the Laplacian of B_{E}with a coefficient inversely proportional to conductivity. Since finite conductivity means dissipation of energy, one can expect that in absence of energy feed, the current and magnetic field gradually disappear. According to a naive estimate this would take few thousands of years. This does not of course happen. Note however that the polarity of B_{E}can change in time scale varying from .1 My to 50 My.

- Energy is needed to maintain B
_{E}and the current generating it. The energy source would be the heat flowing from Earth's core to the surface. If conductivity and thus thermal conductivity (electron current carries also energy and thus heat) in the interior is not too high, the diffusion of heat proportional to conductivity is not high enough to carry out the heat and convection sets on and the stuff begins to boil. The boiling together with Earth's rotation causes rolling flow of the current above core around the earth, and this convective current generates B_{E}and keeps it alive.

- The problem has been that the electron conductivity in the metal core is too high in the core to allow convective currents. The authors of paper claim that the existing model for the electronic conductivity in metals involving only electron atom scattering contains an additional contribution from electron-electron scattering and that this term cures the situation. It improves the situation but one can still remain skeptic whether this term is really enough.

What worries me too is that the direction of magnetic axis can differ a lot from that of the rotation axis of Earth. How to understand this difference. Also the apparent randomness of the orientation reversals looks strange.

- TGD differs from Maxwell's theory in that monopole fluxes are possible and realized as flux tubes for which cross section is closed 2-surface carrying magnetic charge. Also flux quant are possible carrying monopole flux are possible. These flux quanta would carry also dark matter.

Could the Earth's magnetic field contains also a dark contribution, call it B

_{D}from monopole fluxes? Could the interaction of visible matter with dark matter be essential for maintaining B_{E}and for its orientation reversals? Could Magnetic Mother Gaia do the orientation reversals "intentionally" in order to not lose the magnetic shield against cosmic radiation?

- The essental point is that monopole fluxes require no currents to generate them. This contribution would give approximately topologically quantized variant of dipole field with flux quanta which could be either flux tubes or sheets and return flux would be along magnetic axis. Suppose that sheets are in question. There would be also corresponding electric field E= v× B
_{D}at the flux sheets according to the dynamo mechanism. v would be the rotation velocity of the dark particles.

There would be radial Lorentz force F=q v× B

_{D}driving charged dark particles radially outwards if the sign of the velocity is current. Could the presence of the Lorentz force causing dark current help to initiate radial convective current of ordinary charged particles bringing hot matter to the surface and cooled matter downwards and in this manner give rise to the convective heat transfer?

- What about changes of the polarity of the Earth's magnetic flux quanta? Could they be induced by the changes of the direction of the dark magnetic field at dark flux sheets (say). If the flux sheets of monopole field carry a current of rotating charged dark charged particles, the rotation direction changes as the flux quantum changes its orientation. This guarantees a minimal convective flux is radial and towards the surface. Angular momentum would be changed to its negative in full orientation reversal and the increment of the angular momentum would go by angular momentum conservation to the ordinary matter, perhaps mostly to the ordinary electrons and generate electron currents having twice the original dark angular momentum. After this ordinary electrons would start to dissipate the just inherited newly angular momentum again.

- What could induce the changes of the orientation of B
_{D}? Could the two contributions to the total magnetic field be regarded as two magnetic dipoles having dipole interaction realized as a torque proportional to the cross product of the dipole moments. This would cause orientation changes of the dipoles and thus of the fields. The torque vanishes if the dipoles are parallel and dipoles gradually become parallel by dissipation for B_{E}. This does not seem to be the mechanism.

Could it be that the dynamics of the dark magnetic flux quanta is purely quantal and induces the dynamics of B

_{E}by angular momentum conservation? As the strength of the B_{E}becomes too weak to shield Earth from cosmic radiation, Magnetic Mother Gaia takes the lead and turns its magnetic body to to a new orientation, which by angular momentum conservation forces the ordinary electrons to a rotation around new magnetic axis and much brisker B_{E}is regenerated in new direction. Magnetic Mother Gaia takes would take good care of his prodigal son!

## 5 Comments:

"What worries me too is that the direction of magnetic axis can differ a lot from that of the rotation axis of Earth. How to understand this difference. Also the apparent randomness of the orientation reversals looks strange."

What about the pole shifts?

Pole shifts are just the changes of the direction of the magnetic poles.

What is interesting that also in living matter magnetic bodies could generate rotating currents creating ordinary magnetic fields by the same mechanism. The motor actions of magnetic body would have direct effect in visible living matter! Just changing the orientation of MB ("magneettisen kyljen kääntäminen") could have dramatic control effects. I dare guess that this is one additional key mechanism to the long list of already identified ones.

The 90 degrees causing perturbations, and phase shifts?

In some texts the chakras are described exactly like that. Chakras are nerve plexuses.

It seems like 90 degrees is just a set of zero measure, an interval has to be specified for the measure to be nonzero. Maybe the distribution peaks around 90?

Recent discoveries of a core inside the core of the Earth that has a 90 different magnetic orientation would substantiate the Earth's different magnetic field of the distant past.

I have theorized that this is not a crustal slip but a true magnetic orientation. One might see the 'polar wander' as a feeble attempt to create this magnetic relo as when there was much more energy to do so.

Does this happen when the Earth system bobs up above the galactic Equator? Or below?

Was this the worry about the hype over the G3 gas cloud? That it would furnish the energy to allow the Earth's core to be charge with energy allowing electrons to exit the earth so energetically they would 'draw' the continental masses tighter to the NP, allowing the potential relo of masses to become the Equator?

Many papers on google drive one

AMAZING THING

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