A major problem with your argument here is it is only true if the radials are on the same plane, (or are perfectly horizontal) and spaced evenly apart. Once any of this changes your tug of war analogy is no longer accurate.
I, personally, don't like that method of showing phases. It is highly misleading to those who don't know what they are looking at. Phase is
*NOT* a line that is coming off of the antenna in a certain direction. The direction of the line is simply an indicator of the motion of the field that exists around the specific point of the antenna. If you have two radials that go in opposite directions that are fed by the same source, say one (but not both) of the wires that feed the antenna, the rotation, and thus phase, of the fields generated by said radials would be exactly opposite each other. This condition can
*ONLY* exist as long as the radials are pointed in exact opposite directions.
Once you begin to angle the radials, and it doesn't matter if you angle them up or down, so long as they are no longer perfectly horizontal, the fields they generate are no longer exactly out of phase with each other. As a matter of fact, as the angle between the radials decreases the fields they generate begin to add up and act more and more like a single field. Actually, this is technically incorrect, their fields combine to create two separate fields. One of those fields exists only on the outside of the angled radials and is thus transmitted outwards, much like the set of radials were a single element. The other field exists on the inside of the radials and is trapped by the radials themselves and not allowed to radiate. These two fields are exactly out of phase with each other.
This same principle is why a quarter wavelength vertical antenna with radials that are angled down at a 45 degree angle acts like something in between a quarter wavelength vertical with horizontal radials and a half wavelength vertical dipole.
I have yet to see any NEC2 based models that can accurately show any of this. Not being familiar with the math behind the Method of Moments algorithms that make the software work (at least not yet...) I am not sure if it is possible. Remember, the Method of Moments that is used was originally designed to be used on machines with punch cards and limited processing capability. Even today most NEC based software uses text files that simply simulate this punch card data for both an input and output, then interpret said virtual punch cards to generate the pretty graphs and plots we see posted. Essentially NEC based software is still using decades old technology with decades old limitations. Even NEC4, which you have to pay for ($300 currently), has the same underlying technology. Honestly, over 20 years ago I used to directly manipulate data files that were generations beyond this technology.
I'm not saying the technology isn't useful, but in todays world why do we limit ourselves to such an old technology, aside from the fact that CST costs so much...
And for the record, you clearly have not debunked the CST data shown, and a good part of the reason you haven't is actually explained above in this post. You still haven't met the challenge I made back in that discussion... I'm still waiting...
One more thing, how many reasons have you listed to explain why the radials cannot effectively radiate anything into the far field? Many of these reasons are contradictory, which means they cannot all be right at the same time. So which explanation is it?
Actually, the correct answer to that question is non of them. I only asked to point it out. So who is just words?
The DB