Well I don't see how you're doing any better. Just look at your first two or three posts where you describe the electromagnetic field as a "twist" field and so on. The accuracy of your ideas aside, you're essentially trying to define the electromagnetic field in terms of its action on charged particles, except that the Lorentz force equation already does this quantitatively and much more accurately.
Sorry przyk, but I'm not. I'm trying to describe the electromagnetic field in terms of spatial geometry.
Read
a little further down. You really shouldn't be so pedantic about this "the electromagnetic field is
one field" business though. What Minkowski did was write Maxwell's equations in the relativistic four-vector notation he developed. In his view, the electromagnetic field is described by a type of geometrical object called a (rank two) antisymmetric tensor. In a given coordinate system, a rank two antisymmetric tensor is specified by six independent components, in the same way a Euclidean vector is specified by three components. Three of those components constitute the "electric field" and behave like an ordinary Euclidean vector under rotations. The remaining three make up the "magnetic field" and behave like the components of an axial vector.
I'm familiar with this. I rather stress the point about the electromagnetic field being a single field because I see so much commentary that treats them as separate, and it seems to seep through into conceptual thinking.
Arguing about whether the electromagnetic field is "really" one field or two fields or six fields is like arguing over whether a velocity vector should "really" be considered one quantity or three.
I beg to differ. I think this is crucial. It's
the electromagnetic field. Until you really appreciate this you can't envisage "the geometrical entity" as per the OP.
And the "magnetic field lines" circle around the wire. The electron still moves toward or away from the electron column. The direction the magnetic field vector points in is a question of convention and representation. It's actually only "special" in the sense that it's the only direction nothing is happening in.
No problem. I showed the magnetic field lines in the OP, and your response was to:
A column of electrons has an electromagnetic field with a cylindrical disposition. If the column of electrons are motionless with respect to a test electron, the latter moves away in a straight line following "electric field lines". If they're not, as in the current in the wire, the test electron also exhibits circular motion around "magnetic field lines".
By the way in case it isn't clear: the dominant contribution to the force on the electron you're describing is still the electric field. In most situations where you have free charges moving around the strength of the "magnetic" effects is of the order of a relativistic correction compared to the "electric" effects and is completely negligible. As a general rule we only really see magnetic effects around materials where the positive and negative charges nearly exactly cancel each other out. For example we can easily measure the magnetic attraction or repulsion between two current carrying wires, but it'd be completely dwarfed by the electrostatic repulsion if just the electrons were there.
Good point. Yes, of course, we see a magnetic field around a bar of iron where net positive and negative charge is essentially zero. I'll strengthen that "also" with this for next time.
For an example related to later points in this post, the magnetic dipole field around an electron is basically insignificant compared to the electrostatic field around it.
Yes, no issue. I did say "magnetic dipole moment apart". I'm aware it's a very small effect.
That's why you've never heard of a version of the Stern-Gerlach experiment that uses free electrons: the magnetic field would just deflect the stream of electrons in a way that's mostly determined by the electron charge and comparatively insensitive to the electron dipole moment.
I didn't appreciate that, but I was vaguely wondering about the move to hydrogen but not to an electron beam. Thanks.
In QED the origin for pair production is ultimately the same as the Lorentz force on particles: a coupling between the electromagnetic and fermionic matter fields (the "electric charge" is just the strength of the coupling). QED can even give an "explanation" of sorts of "why" the electromagnetic and fermionic fields are coupled in the way they are. I don't understand it well enough to explain it well (properly understanding gauge field theory is one of about a billion things on my "to do" list), but it's actually something of an analogue to the equivalence principle in general relativity. In electrodynamics, the electromagnetic four-potential plays something of the role the space-time metric does in general relativity, and the electromagnetic field appears as an analogue to the curvature.
Interesting. You'll note in the OP that I say it's curved space as opposed to curved spacetime.
I hope you're not under the impression that there's some big debate about the validity of quantum mechanics going on in the physics community.
Not at all. The big debate is about the interpretation. It has rumbled on and on.
Quantum mechanics is "weird" when you first hear about it and some people apparently never get over that, so there are and probably always will be a small minority of physicists looking for an "underlying reality" to it. But for the rest of us it's routine, well established physics and has been for around eighty years.
We'll have to agree to differ on this, pryzk, but you're wrong to think this "weird" routine will continue.
Depending on what you mean by "simple terms", I don't think that's necessarily a particularly good standard for judging explanations. To pick a nit, the "magnetic dipole moment" bit isn't really difficult or surprising: anything with charge and angular momentum has a magnetic dipole moment, and I think QED can predict the exact relation between the two. So you probably meant to ask for a "simple explanation" of spin.
I meant it when I said magnetic dipole moment. The electron isn't a charge "going round in a circle". It's something else going round in a circle, and the result is a charge. But I take your point, there isn't a good standard for judging explanations.
Well that's the point I was making: which vertical plane? There's more than one. There's a whole family of different ways you can rotate the axis of a rotating globe - not just two.
And it doesn't matter at all which vertical plane you pick. The result is the same.
You're intuitions about what you'll get if you rotate the rotation axis of a spinning globe don't sound very accurate. The type of motion you're describing is called
precession and is already quite well studied.
I'm not describing precession. I have an electric gyroscope here on the desk in front of me. I've just spun it up, and the "angular mass" resists my attempts to apply a vertical rotation. Now it's slowing down, and starting to precess.
Incidentally, we already know how to use magnetic fields to get the electron spin axis to align one way, or to precess. It's used in NMR for example. I hope you're aware that what you're trying to use as the basis of an "underlying" explanation for spin is something we already know how to manipulate experimentally.
I'm not. I used the doubly-spinning globe analogy for an electron, and mentioned hydrogen. One can consider the electron and proton as two spinning globes in close proximity. Turn one upside down, and the spins are now antiparallel. You've performed a hyperfine transition, which is used in atomic clocks such as the NIST caesium fountain clocks. NMR is something similar.
Why are you telling me this and how does it answer the quote you were replying to?
To try to clarify the point. It's an electromagnetic field, a geometrical entity, not a magnetic field that "pulls". The motion is the result of spin interactions in space.
That doesn't automatically follow.
Granted, but try kicking some footballs, and try the Falaco solitons. I know analogies can be "dangerous", but I really do think they can help.
Thanks again for your sincerity.