See my response to ctamblyn where I referred to the
Williamson / van der Mark electron and said inflate the torus into a
spindle sphere torus and place that at the centre of my spiral depiction:
[qimg]http://www.internationalskeptics.com/forums/attachment.php?attachmentid=30824&stc=1&thumb=1&d=1398594708[/qimg]
I've seen and it doesn't change your problem of handedness reversal upon a coordinate reversal. Now please show how you get you do get a spindle sphere torus from combining the electrical and magnetic fields of a stationary charged particle and especially how that a spindle sphere torus transforms to just a radial electrical field at some distance from that charged particle.
It is. Try drawing arrows on ping-pong balls, and on Moebius strips. What's difficult is explaining it to people who cannot conceive that what they've been taught is in any way defective or deficient.
Great, so it isn't as intuitive as you asserted. If you want or need some other drawings than you draw them.
Ah, so your assertions that...
You cannot flip it on two axes to give it the same spin as the other. Just as you cannot make your left hand look like your right. Because it has chirality. Handedness.
..are trivially false, glad to see you understand that now.
And one more time: the charged particle has an electromagnetic field. It doesn't have an electric field, it doesn't have a magnetic field, it has an electromagnetic field. This deserves a depiction, so we combine radial "electric field lines" with concentric "magnetic field lines" like so:
[qimg]http://www.internationalskeptics.com/forums/attachment.php?attachmentid=30815&stc=1&thumb=1&d=1398534443[/qimg]
Say it as many time as you want but what you still haven't said is exactly how you combine them. Also a dipole field doesn't result in spherical field lines. So right off the bat you're leaving out what differentiates a dipole field from a spherical field in your representation.
Though you do seem to get one thing right, as your finial image shows the radial component dominating after some distance from the stationary particle. So even that final image supports just considering the electrical field at some distance from a stationary charged particle
But we remember we are dealing with curl in three dimensions rather than curvature in a plane, and with chirality rather than helicity. We don't quibble about a 2D depiction of a 3D dynamical thing, do we?
Indeed we do quibble about your "2D depiction of a 3D dynamical thing" that (perhaps deliberately) excludes the distinctive characteristics of a dipole field.
Then combine the radial electric field with a dipole magnetic field. What does a dipole look like, ooh,
here's a picture of one.
Great so you do know what a dipole field looks like, combine away but remember unless the magnetic component is sufficiently strong the electrical component will still dominate at some effective distance. Also should you choose to combine them then be sure to describe exactly how you combined them.
The whole idea of sources and sinks is misguided I'm afraid. A charged particle isn't sucking or blowing. Sinks attract sinks and the arrows just don't work.
No it is the idea of sucking and blowing that sucks and blows. Sinks don't attract because they don't suck. The arrows do work and they would even work for you as they would give a spatial reference that is linked to the particle and which would not change with simple coordinate spatial reversals. That is why they are used because they do work, so don't be afraid of them.
This current round of discussion began because I said when you understand the screw nature of electromagnetism, you understand why magnetic monopoles do not exist.
And you still have not demonstrated that "you understand the screw nature of electromagnetism" nor explicitly why it would mean "magnetic monopoles do not exist.". All you have demonstrated is that your "2D depiction of a 3D dynamical thing" simply doesn't include the characteristic details (even in just 2D) of a dipole field that you assert should be used. Is it that you just don't or didn't understand what you wanted to represent or were you being deliberately disingenuous? Not that it matters much since unless you can show the magnetic components as a significant contributor to the over all field at some distance from a stationary partial then just the electrical component dominates and you are de facto just left with an electrical field.