The screw nature of electromagnetism

btr said:
Farsight won't be returning to this thread, unfortunately, so I've taken the liberty of following up on my own request from a few pages back, on the subject of the spiral diagram:



Here is what you get if you literally add a radial inverse-square electric field to a dipole magnetic field, in the spirit of the spiral diagram from earlier:

View attachment 7092

Code: 
StreamPlot[{x/(x^2 + y^2)^(3/2) + x*y/(x^2 + y^2)^(5/2), y/(x^2 + y^2)^(3/2) + ((2/3)*y^2 - (1/3)*x^2)/(x^2 + y^2)^(5/2)}, {x, -1, 1}, {y, -1, 1}]

To be clear, I don't claim that this has any useful meaning. Adding E to B makes no physical sense, and immediately loses half of the data at each point in space. There is no way to calculate forces on particles from the combined field any more (neither magnitude nor direction), nor can you predict the future evolution of the fields given the current value and rate of change of the combined field at each point. As a result, combining the two fields with this sort of strategy cannot faithfully represent the true electromagnetic field.

Features of the combined field:
  • At large distances, the dipole component is negligible in comparison with the inverse square component, and approximate spherical symmetry is seen in the combined field. The system looks very like an ordinary point source at this range.
  • At intermediate distances, the combined field begins to deviate markedly from spherical symmetry. It still has rotational symmetry about the dipole axis, however.
  • At very close distances, the dipole component dominates. On the dipole axis, the field still points away from the source (and its magnitude varies approximately as the inverse cube of the distance); however, in the horizontal plane, the field points "downwards" instead of away from the source.
  • As you approach the dipole along its axis from "below" the horizontal plane, there is a point where the field actually changes direction from outwards to inwards! In the attached plot, that happens at (x, y) = (0, -2/3).
Click to expand...

Very informative. The summed field looks a bit like the Grinch. Showing Farsight the result of his musing was nice of you.
 
btr said:
Farsight won't be returning to this thread, unfortunately, so I've taken the liberty of following up on my own request from a few pages back, on the subject of the spiral diagram:
Click to expand...



I do not see any stigmatism in any threads/posts in the alternative theories section.
It's there for a purpose.
It's purpose of course is to debate new ideas and hypothesis, but the problem seems to arise with some that are totally adverse to any criticism of their hypothesis.
They seem to want a "carte blanche" type freedom to say what they like, without any critical or questioning of whatever they propose.
That is not science and does not align with accepted scientific methodology and peer review.

In fact I see a far greater stigmatism in the situation of alternative hypothesis being wrongly included in the P+M or science and cosmology sections.
 
You must log in or register to reply here.
Back
Top