Neat, another perpetual motion machine.
You need to read what one of those is, because what i'm talking about doesn't have motion at all let alone motion that is perpetual.
Perpetual motion and free energy machines are the same thing. The very nature of electricy is motion. Electricity itself moves and cause other things to move. If you plan to have electricity you have motion. Period. Your experiment has been tried before, you may want to look at those results first.
Anyway, I had a really cool physics teacher years back who made us team up and each come up with our own ideas for a free motion/perpetual motion machine and then build it. We then had to present it in class and describe in very precise terms where it failed and why. It was actually a pretty brilliant learning device.
My bet is that all our knowledge about magnetism is not as deeply flawed as you think,
Well that's a bet you'll lose.
I see. So you are right that your perpetual motion machine will work and I am wrong. Great. Have at it friend.
Anyway, here is a good starting point for you if you do not feel like searching google yourself. This is a summary of a 3400 word article describing experimentation with energy production from use of magnets. Several of the designs had no visible moving parts and were based on your idea. This is by no means comprehensive, but is a good jumping off point if you are serious about this.
http://phact.org/e/z/freewire.htm
This may not deter you, but at least keep this in mind (near the end of the article):
A perpetual motion of new "inventors" thinks they are making fresh attempts at this "engineering holy grail". I've had scores of people tell me that they are hoping to fine tune some collection of wires and magnets that can finally come out ahead. Justifications are given along the lines, "if I try hard enough" "it must be possible because it is needed", "xyz book reports someone did it and then forgot how", or "my new theory of physics explains why it can work". My prize money for proof of free energy will be awarded if anyone can show me the real thing working - and I have no interest in someone's new theory until they win the prize. I feel the existing formulas comprising relationships between energy, motion, current, magnet flux lines, fields, etc. do a fine job of explaining evidence.
I still encourage you to go through with your experiment. The best way to begin to understand the scientific process is to actually put it into practice.