electromagnetisim

B166ER

I watched the movie "The Core", in that movie they say that the earths magnetisim is based on the rotation of the earths core(molten metal spinning at high speeds) so does it have to be liquid metal or anything hot rotating at high speeds could creat a magnetic feild? is it possible to create a magnetic feild rotating some hot diodes?

NSX

Any moving charge creates a magnetic field.

Antonio Lao

Magnetic field is also produced from displacement current. The time rate of change of electric flux density, [itex]D[/itex].

[tex] \vec{J_d} = \frac{\partial \vec{D}}{\partial t}[/tex]

B166ER

so is it possible to create your own earth in a contained facility? is that even possible?

Antonio Lao

To do that you have to permanently borrow a lot of energy from the vacuum. The vacuum is an infinite energy bank. Energy can be borrowed but only for a very short time. But you can also fool the energy bank of the vacuum by using the Higgs mechanism of broken symmetry hence transforming virtual fermions (quarks and leptons) and virtual bosons permanently to real fermions and bosons.

A better practical use for these borrowed energies would be to disintegrate an incoming asteroid on a collision course with our earth.

Epsilon Pi

Hi Antonio,

I thought displacement current was a theoretical concept introduced to preserve the symmetry in Maxwell equations. Could you please give us a physical example of the production of a magnetic field by such a theoretical concept?

Regards

EP

B166ER

what are quarks and leptons? im sorry for so many questions i am just beginning to get into the field of physics.

thank regards

Antonio Lao

The symmetry of Maxwell's equations are the change in space of one field (electric or magnetic)being proportional to the change in time of the other field and vice versa.

But from Faraday's experimental results, there is no such symmetry because the time rate of change of charge must be zero (the divergence of the curl is zero) so that the change in space of magnetic field has no corresponding change in time for electric field. Maxwell just added the term of displacement current as the time rate of change of electric field into the equation. The outcomes are the wave equations for magnetic and electric field for classical electromagnetic radiation.

Epsilon Pi

So there is no such thing as the production of a magnetic field by such a theoretical concept as the displacement current, right? This was my point
Regards

EP
PD: As a matter of fact, there are other ways to explain the classical electromagnetic radiation

Antonio Lao

the stuff that matter is made of. There are 3 generations of quarks and leptons.

1st generation is the leptons called electron and the associated electron neutrino, the quarks called up and down.
2nd generation is the lepton called muon and its associated neutrino, the quarks called strange and charm.
3rd generation is the lepton called tau with its neutrino also, the quarks called bottom and top.

I think, all these quarks and leptons have been discovered by now, seen by experiments.

ordinary atoms is made mainly from the 1st generation of quarks and leptons.
The proton is made of 2 up quarks and 1 down quark. The neutron is made of 2 down quarks and 1 up quark.

The simplest atom of hydrogen is made of 1 proton and 1 electron. The isotope of hydrogen called deuterium is made of 1 proton, 1 neutron, 1 electron. The rest of the chemical elements in the periodic table are all made of multiple numbers of these 3 basic particles (proton, neutron and electron).

B166ER

is the quark and lepton theory actual fact or theory?

Antonio Lao

Please enlighten me on these.

It's a fact. They are all discovered and seen by experiments.

B166ER

is it posible to conduct these expirements at home?

Antonio Lao

Not unless your home is inside Fermilab or CERN.

Epsilon Pi

Hi Antonio,

Before going on I want to ask you kindly two questions:

1-First of all, a radiation is a wave isn't it?
2-Complex numbers are a fundamental tool for electromagnetism, right?

EP

[QUOTE=Antonio Lao]Please enlighten me on these.

Antonio Lao

1. Classically, the total energy of the electromagnetic wave is given by the volume integral

[tex] \frac{1}{2} \int \int \int \left(\vec{B} \cdot \vec{H} + \vec{D} \cdot \vec{E}\right) dxdydz[/tex]

And by the introduction of the scalar and vector potentials, the wave equation is used for both in finding solutions to waves propagations.

2. Optionally, using Euler's formula, relating complex numbers to the trigonometric functions, making Fourier series and coefficients in complex notations.

Epsilon Pi

1. With your first answer I assume you say yes, regarding my question about the wave nature of electromagnetic radiation that was my point.
2. In the second one you make reference to Euler relation, on which complex numbers are based, that as a matter of fact is the only mathematical equation that remains with the same form with derivation and integration -except for the symbol i that means that the complex plane is the background of those proccesses-... this isomorphic property makes it posible to express differential equations as simple algebraic equations, the "bread and butter" of IE, and furthemore this ER is precisely a wave equation, whose cosine term expresses an even symmetry and its sine an odd symmetry, so it is an ideal expression for expressing the fundamental equations of physics, and as such its profound duality, of space-time, particle-wave, ect.

Isn't this ER ideal for solving the so-called, incommensurability of paradigms, I mean that conflict between QM and GTR?

Regards

EP