Jiff, I think of your proposed machine as a bit like a rowing boat. Unfortunately, the difference is that the oar blades would be as if glued to the same piece of water. It will oscillate rather than propel.
You need to attach it to a ratchet system so once it moved in one direction it couldn't slip back to it's previous position. Wouldn't work for an aircraft though, it would all turn to rat chit.
The only way to prove / disprove your theory is to build your machine. I won't be buying shares though; I wouldn't re-mortgage your house to finance it either, if I were you.
Please film it and put it on Youtube.