Okay just to let people know that I’m only slightly crazy (perhaps a lot of foolishness and silliness). I’ve been looking at a lot of physics lately (you know just to make sure I don’t lose my math skills) and because it’s one of my interests. I’m no physicist nor am I really that great at math but it’s tickles my interest in the same way that doing game development and learning graphics algorithm does for me. Anyway so I started looking at solar power stuff and also at sonoluminescence (cavitation) which is what I have been reading up on in the past couple of months (along side the usual programming stuff). Sonoluminescene is really interesting because I think it’s one of those things that’s on the edge of the really small and kinda small. A lot of interesting stuff goes on there I think. Like it’s where microfludic (streamers), colloid, interfaces, fluid dynamics, and molecular dynamics all meet. I’m no expert it’s just so damn cool.
Doing all that I got really interested in complex analysis again (remembering how some things are just so darn easy in that space). Especially Mobius transformation and along with all the group theory stuff that goes with that. For example infinite composition of analytic functions. Another thing is inversions (like circles at infinity with infinite curvature and how it relates to the picture of limits and the infinitesimal; inverting infinities and stuff; continuous transformations and exponential maps). I keep on thinking there may be ways to use that for simulations, and also N-body problems. (I have this idea I want to check out involving N bodies). And also I keep on imagine that one could use this (plus maybe knot theory) to solve certain graph problems. I just seem to think there is a connection. Basically I want to work towards checking out some of these ideas I have. Yes all these ties back into the sonoluminescene thing.
There are also things I want to learn/know more about regarding Quantum Mechanics. I mean I get the general gist of how it’s supposed to work. My question is if I’m an ant sitting on a quantum particle am I uncertain about my own momentum and where I’m supposed to go? (ok I realize I may not really understand QM). Why probabilities? I understand that it’s probability amplitude (unitary) and the wave function. I just want to check it out myself I guess. For example the quantum potential. Could it be… Anyway when and as I continue to learn it I hope it will be all be satisfactorily explained at least in my own head.
Yes it ties back to fluid dynamics also. Turbulence for example. Divergence etc. Like at the finest level you may conserve energy but what if you take larger and larger steps (grids on top of your finest level; see how this may be related to turbulence, local time, initial conditions, sources and sinks, global effect, etc). Circles at infinity.
I’m no expert I just like to learn about these things and think stupid thoughts on them. It’s fun.
Lastly I have not forgotten my game projects. All this ties back to the dwarf fortress clone (kinda) I was making. It’s my project hey I get to put whatever I think is cool in it :). But a long time ago I wanted to make a game called Fluid Dynamics Asteroid. No I have not forgotten about that one