Protons electrons ect.

Clayton,
I do not use facebook so not sure on the background of what you are trying to do. It looks like the basis of possibly a standard OU magnetic motor. I am sure you have enough background on why that will not work. I am sure you know of the OU forum, Rexresearch and Tom Bearden OU pages.

The study of spintronics and QED will explain the why/how of this. Many devices and compounds will maintain spin without a magnetron (think about when you magnetize a screwdriver you are aligning spin). If you want to know more I would suggest the NSF forum as they cover using magnetrons an other high frequency generators. The device shown would not adapt so not sure how to help. Please provide more info, if you want more detail. Here is a link to the current NSF forum these guys are 80% theory 20% experimenters. They show several ways to use directed microwaves and waveguides. To answer your question you need to focus the TM part of a TM/TE field checking strength using a VNA (tool for looking at field strength) to a specific area possibly using a waveguide to help. Some of this is also temperature related. So some mwave basics . I am trying not to be too technical or abstract so hope this helps.
So we would need more info to help.

Okay,
Maybe I still need more info. But magnetron does not create electrons. It (the maggie) works off EM principles and the flux of the B field. I think there maybe a confusion between quantum effects seen on a macro scale and classical (large scale) physics. There is in the QM world a device called the SQUID that can modify the vacuum and create particles from virtual particles (google this, it's interesting) But this is a quantum effect, does not happen in classical/standard QED. So that said.....

Looking at the device photo, the electrons are moving though holes caused by impurities in the wire. As they move they lose energy though resistance hence the wire gets warm. Regarding maximum particles if you mean... overcoming resistance then the wire will burn through. There is a great video of someone dropping huge caps into a coil that has a coin in it. The field causes the coin to collapse to half size. Back to your photo, since it is a classical effect you can model it on a PC with some freeware.

Back to maximum particles. Electrons are fermions (leptons) while moving they cause current, BTW if you get "too many" in one place you overcome the coulomb barrier not only would the Pauli exclusion be violated but you would have fusion. If you want to see this google Z-pinch machines that are used to confine plasma (but still not create fusion only contain it). Fusion (particle/energy exchange) happens after the coulomb barrier has been breached.

You need to generate the electrons so you need an antenna (cathode) usually in the center or (center of each cavity) and your plastic will draw the electrons to the anodes. It will not be able to deal with heat and should be made of something conductive like copper so no plastic.
BTW, taking apart old micro oven maggies have beryllium oxide insulators and so are a poison hazard. Then you need your high voltage supply design. The microwaves themselves are dangerous, and require a high voltage driver. Does this explain it simply so to understand what parts are missing?

Clayton,

This will take some time as I am just beginning to understand and need to
frame your ideas in the scope of my knowledge So look at these posts
as building blocks that can be added or discarded. If I say or refer
to something that you do not understand let me know. This will help
us both. Your analogies are helpful.

So I am going to toss out ideas as the exact answer is beyond me at this
point and other folks are reading this and might chime in.

Before (historically) solid state devices people generated static
electricity using wool/plastic (see wimhurst generators) then using a
motor (see Van de Graff generators).

In order to make a solid state high voltage source (unless you are
really good at wiring solenoids) you need to head to the junkyard
(a.k.a. my basement) and get a old tube TV. Which originally
“historically” was used as a physics tool to generate electrons
and throw them at a phosphor screen using a magnet to direct the
flow. (This principle uses the spin magnetic moment of the dipole
of the electron).

So before we head that way, if you are trying to levatate gold
particles (or dust size particles ) why not use something like this
with an electo-magnets (that are opposed) to trap the particles?
Also , If you are levitating light weight particles you can use sound
waves without all the high voltage stuff as a way to control and the
device is much simpler (but different fundamentally as it uses both
sound waves and air as the medium to make the waves).

I will stop here for a response to see if the use of electro magnets as
a trap will work or if you want to use a tesla type generator which
would be more complex.

BTW, I had a another answer but hit the backspace key and the forum software "ate my homework again".

The pictures help. I think I understand more about your original post (you will have to wait for a followup of this one as my wife has you-will-do's list). I will try to think about this last post, but I am a "game lagger". A joke. I take some time to think.

So this is out of order, just for understanding. Also a disclaimer, this is how I understand things not meant to be anything else than that. A lot of people would be saying you will get killed with high voltage. This is B.S. and makes assumptions on how people are. But I like to point out the danger in HV.

Fundamentally the spins will not stay in alignment they will wobble. Imagine a soccer ball rolling in a straight line. The black/white part will start to wobble, the electron spin will also.
This imbalance will need to be addressed. Separately, per your plastic resonant cavity it would seem to me to be the wrong geometry to get decent oscillations. A thought is that they (electrons) are like balls are like bouncing around on the side of the cavity. Round geometry allows for more bounces (resonance). You will still need your antenna (cathode) and the cavity (anode)as the draw (sink tunnel) for the generated electrons) as they need somewhere to go , your magnet will set up the B field. About waves, an example is that people like to think of waves on an oscilloscope, but this is just a
2d representation of a wave. Its better to imagine that a wave is round and the electron is spinning.
Like dropping a stone in water, or better yet imagining a bullet spinning away from a rifle. Its where the concept of polarization comes from.
One question, have you heard of the poynting vector? It will become important.

Okay your cavity design is valid, I think hands on experimenting is not
only fun but the best educational thing you can do. I know that
reading some of the links I sent may seems complex, but they are the
results of 2 hundred years from Faraday/Maxwell/Heavyside to now. It
may help you to know how I learn is to find out the history of the discovery, based mostly on the scientist or inventor/discoverer of some effect, then screw the math. I google Faraday on YouTube and relax and learn the history. I recommend it.

If I personally can not understand the concept, the math would be a
waste of time, so it is a journey. But after you get the history you
will literally chase information and then the math. It really is
amazing how these cats came up with these ideas. It turns out most
often to be based on common sense. Abstract thinkers (theoreticians)
that a good experimenters are rare.

I would encourage you to start with you-tubes as you do your hands on.

Back to what you want to do, there are very strong electromagnets that
can literally lift a bed (Check the link). Some simple/cheap devices
can levitate a lamp or a globe. But these are not using magnetrons to
my knowledge just strong flux for repulsion (see link at bottom).

You would need to understand that I am still not sure what your trying to
do other than learn (the best way to learn by hands on). While caps
are used in HV circuits to store static charge they are used often
just to ensure that a circuit has a constant voltage source. So if
you really want to use a maggie to levitate it will not be a simple
answer, I can promise you that. But if this is what you want I would
start on how a simple microwave works using a stirring fan to see if
this would work (by principle only). I am just thinking out loud.
This is called a thought experiment, just to see if the idea makes
sense. The Germans have the perfect word for it gedankenexperiment.

This post is too long but background to me is a part of toolset. You need
proper tools for the job. And both the why and how to use a tool
to get any real work out of it. Look carefully at this link and see
if you really want to show someone levitation or spinning planet
nucleus based on a maggie okay?

I will be glad to help, as it helps me understand also. But I need to
know when I am making sense that you can relate to. From principles
to schematics. If I go to fast or skip over it is a waste of your time.
Okay?

http://dornob.com/for-real-1-6…-hover-bed-floats-on-air/

Okay but time for me to ask questions. In your profile you have a photo of a
gizmo. I have seen it somewhere on a OU type forum. Where did you get
it?

So did you disagree that the example of levatating bed was not what you
are looking for?

Also, are my explanations too long, not the point or complex? This one is
important as I am trying to help. But if I not making logical sense I need to refocus.
Please address all these questions.

That said, to answer your question. Another poster posted a video of a
magnetic vortex using an electro-magnet and a permanent magnet in an
aquarium with water. As current was applied you could see the vortex
you are describing in the bubbles. I mention this as I can not find
the link but I think you must. Why? Well it models very very simply
what you are trying to do and thus you can visualize (or model) where
your going with your question. You could probably use a maggie to duplicate it, without the power that you would need in air.

But a big thing is that the youtube experiment mentioned while seem to match what you want
quite a bit, fails (after all it is an experiment meant to learn
The correct answer is in the comments (read the comments if you find it). The youtube poster did not have the number of magnets needed nor aligned with the fields.

So think of not using air but water do demonstrate your device
regardless of the use of a maggie or not. It will separate your
particles a bit.
I hope this helps at least to help demo proof of concept. Else your OCD head (joke here) will keep on keeping on.