
I DO think there is something to your geometric analysis, because it mirros something I did when I was 13 or so (and far more capable than now, sadly -- amazing what 25 years of underuse has done to my brain). I was at computer camp at the time pondering why it was that time slowed down as speed increased, and why length contracted, and why mass increased. I finally realized that if you made the assumption that there was a constant speed (let's call it 'c' :>) that constrained your velocity vectors in the dimensions of time (y-axis) and space (x-axis), then one wound up with a relationship of sqrt(c^2 - v^2). It neatly described time dialation, and I was able to convince myself that it explained length contraction (rotation of matter so as to remain perpendicular to the constant velocity vector).
I spent the summer checking to see if my factor was correct (my father bought me a "physics for biologists" book

There were, for me, a few outstanding issues though:
1) In what way does it even make sense to speak of velocities (distance / time) in the dimension of time?
2) Why is it that the relationship of distances between these manifolds is related by velocity, and what are the repercussions? Does this in any way relate back to curvature of space-time manifesting as a force (ie: indistinguishable from acceleration)?
3) Are there cosmological significances to the fixed velocity vector -- does it indicate a perfectly balanced expansion ratio?
I would be interested in seeing you continue to explore this line of thinking, if for no other reason than that my young brain did not have the learning to do so, and my current brain is full of nonsense like Java and C and SQL and performance metrics of all kinds ill-suited to this problem

Best of luck,
-Dave
PS: Is there a Polywell-for-dummies intro? I've read the Google pdf, but it's a bit light. I'm worried about Bremsstrahlung, and concerned that I've read nothing about the method used to capture the energy released, and how that might interact with the fusor. Light on the math, heavy on the analogies would be most useful -- thanks!