DownloadI recently dug up some of my old simulations after to my surprise 3SAT and a theoretical expansion of boltzmann statistics reminded me I already simulated something like that but I didnt know how good a simulation it was. Check how the varying density and shape of electron clouds and soliton-like or fluid drop like blobs of field gradually start to point outward and get thinner, like a soliton is bell curve shaped as seen from outside. More importantly, compare the 2 halfs of electron cloud pressing against eachother after falling from random positions in 6 flat (x y z/size red green blue) or n dimensional sparse network of such bellcurves which overlap eachother to display the subtle changes in shape and dimension, and if you run it a few more times it sometimes randomly gets large or some parts very dark and moving inside the other, and I think I saw that electron orbital with the donut around the center and vibrating outward on the 2 axis. Jar files contain source code.
Features
- tested in up to 50 dimensions that the aod (amount of dimension) algorithm which this is a slight expansion of to 3-way handles random unit vectors in unknown number of dimensions and derives it from the dotproducts between them.
- just doubleclick each of the jar files and simulation will run. In the one with squares you can look into the 3d matrix of n dimensional sparse points and move in those directions as you'll see a convergence of the brightnesses of those squares/3waydotproducts which is the unique feature of this 3way fractal 3SAT hillclimber but not always solver.
- 6 dimensional display using x y z/size and red green and blue all as dimensions, plus theres the curving between the sparse points which are defined, not depending on 3d or 6d but nondimensionally/topological.
- time slows near a sphere-like border, or at least the blurs slow down. aod math always uses unit length vectors and best if roots of unity but usually random and the more randomness you add the more accurate it gets (in choosing the exactly unit length vectors in the hypersphere of unknown number of dimensions)
- formation of the hydrogen electron cloud, not from any assumption that theres an atom but from fluids falling and/or blobbing together and happening to do that, which was not what I was looking for but its one of the few ways this math is core to statistics and topology, the 3way matrix part and convergence 3 at a time each seeing the other 2 always in balance.
Project Samples
