RE: Christianity is heading for a full allegorization
February 4, 2022 at 9:40 am
(This post was last modified: February 4, 2022 at 9:42 am by polymath257.)
(February 3, 2022 at 8:50 pm)Ferrocyanide Wrote:Quote:The electron is a charged particle with charge −1e, where e in this context is the unit of elementary charge. Its angular momentum comes from two types of rotation: spin and orbital motion. From classical electrodynamics, a rotating electrically charged body creates a magnetic dipole with magnetic poles of equal magnitude but opposite polarity. This analogy does hold, since an electron indeed behaves like a tiny bar magnet. One consequence is that an external magnetic field exerts a torque on the electron magnetic moment depending on its orientation with respect to the field.
But besides that magnetic moment caused by spin, I think a stationary electron or an electron that is moving at the same velocity as a detector is said to NOT have a magnetic field.
So, a magnetic field is a relative thing.
If we have a stationary detector and a current is going through a wire (or vacuum), then we can detect a magnetic field that is circular around the wire (perpendicular to the wire direction).
The magnetic field becomes detectable since the detector and electrons are NOT moving at the same velocity.
The Lorentz force law seems to be for such cases, where the particle itself doesn’t have a magnetic field.
This creates an interesting situation. If I draw a cross on the ground.
If I number the end points of the cross as 1, 2, 3, 4.
If I place a stationary electron at the center of the cross.
If I move my detector from point 1 to 3, I would detect a circular magnetic field perpendicular to line segment 1..3
If I move my detector from point 2 to 4, I would detect a circular magnetic field perpendicular to line segment 2..4
What if I have 2 detectors and I move one from 1 to 3 and the other from 2 to 4.
Each detector would detect a completely different magnetic field.
I don’t know if I was clear enough.
Yes, these are relativistic effects. In a fully relativistic treatment of E&M, the electric and magnetic fields merge into a tensor called the Faraday tensor. This is similar, but deeper, to the merger of energy and momentum into the energy-momentun vector.
Just like relative motion can lead to different measurements of time intervals or lengths, it can also lead to different measurements of energy or electric and magnetic fields. In particular, a static electric field in one reference frame will have a magnetic component in a different reference frame (and vice versa).
The Faraday tensor is the same, the components differ in each reference frame.
(February 3, 2022 at 5:56 pm)Jehanne Wrote:(February 3, 2022 at 4:22 pm)polymath257 Wrote: Damn. You are right.
Well, at least atheists admit when they are wrong.
I completely spaced about the spin.
I now have to go wear a hair shirt and flagellate myself.