Screaming "I'm right! I'm right! I'm right" is argument by assertion.You know, putting Clinger straight on his electric field and his magnetic field, that aren't fields, but instead just the linear and rotational forces that result from electromagnetic field interactions. You know I'm right about that.
I've studied lots of physics, and the electromagnetic field is a field in its own right.
This alleged "screw nature" is based on their analogies for explaining the cross products for the magnetic field. Those cross products appear because the magnetic field is an antisymmetric 2-tensor in 3-space. However, that mathematical object reduces to a vector, and that reduction requires cross products.You cannot offer any criticism of Maxwell and Minkowski's screw nature of electromagnetism. So don't try to suggest I'm guessing. I'm not, and you know it.
I call it an antisymmetric 2-tensor in 3-space because the overall electromagnetic field is an antisymmetric 2-tensor in general.
More generally for different dimensions, an antisymmetric 2-tensor behaves as follows:
1: vanishes
2: scalar
3: vector
4: two 3-vectors (self-dual and anti-self-dual -- F gives E+i*B and E-i*B)
5 and more: irreducible, as a vector is
(lack of structure of an electron...)
Except that collision experiments do NOT work that way. It's more like repeatedly poking that whirlpool at random locations. If you poke it with a ship's rudder, you aren't going to distinguish much detail. If you poke it with an oar, you will distinguish some detail. If you poke it with a pole, you will distinguish more detail.Searching for structure is like probing a whirlpool with a barge pole and saying whatever's in the middle of this must be really small, because I can't feel anything. There isn't anything in the middle!
Low energy = large wavelength = rudder
Medium energy = medium wavelength = oar
High energy = small wavelength = pole
Argumentum ex necessitate abitûsNow I really must go.
("Argument from one's need to depart")
The handedness is from (antisymmetric 2-tensor) -> (cross product).Electricity is typically the movement of electrons, so it's right handed. The usual math is Ampère's circuital law. See the right-hand-rule diagram, on the right. The article refers to electric fields and magnetic fields instead of the electromagnetic field.
Nonsense. A field is something that's a function of space-time values, and it can have a nonzero constant value.As I said a day or so ago potential is "more fundamental" than field, but I'll skip that. A field is typically a spatial disposition or structure. It isn't something separate from space. It's a "state of space". When that state is uniform and homogeneous, we usually say there's no field present.
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