noneuclideandreamer, 5 months ago to CA German

Code is up!

#ca #physicssim #3adica #github

https://github.com/NonEuclideanDreamer/p-Adica

noneuclideandreamer, 5 months ago to math German

Proudly presenting 3-Adic Gravity in its final form!

This was a fun journey, thanks to @gregeganSF for the inspiration!

Full-Length musical Version:
https://youtu.be/1RYn0e0150c

Next Step would be: Pauli-Exclusion-Principle (either merge or elastic)

#math #3adica #codeart #physicssimulation #mastoart

The 3-adic metric puts the distance between two particles as 3^{-n) where n can be seen as the generation of the smallest Triangle containing them both. The whole space is structured as a selfsimilar Tiling: in each Generation 3 smaller identical triangles fill a bigger one. A particle can move on a 3-orbit to identical locations in 3sibling triangles of any generation. The inertia of a particle is a positive double. The level/generation of the orbit is determined probabilistically between the two integers around the inertia. The gravitational force between particles is inversely proportional to the distance between them. The sign of the resulting acceleration added to inertia is determined by wether the current inertia is too low or too high.

noneuclideandreamer, 5 months ago to math German

What scope should gravity have in 3-Adics?
Here I tried logarithmic. The clusters don't collapse due to the Gravity if other clusters.

If I use inverse linear instead, in a homogenuously filled space, the pull of all points of distance eg 1/3 is the same ad the pull of all points of distance 1/9 and so on. Which seems closest to solving Green as possible in a space without geodesics/lines.

#gravity #3adica #codeart #math #mastoart

Triangles moving in discrete steps of 3-loops. As the ild Location only slowly fades out, one can see the orbits as same-colored somewhat symmetric patterns.

noneuclideandreamer, 5 months ago (edited 5 months ago) to math German

These 8 particles demonstrate nicely how my Gravity in 3-Adics pull things closer together, but there is enough chaos that particles can get excited into higher orbits and drag their cluster up too...

#math #codeart #3adica #gravity #mastoart

noneuclideandreamer, 5 months ago to math German

Lots of Particles, no Pauli Exclusion.

#gravity #3adica #codeart #math #mastoart

Lots of colorful particles in a huge triangle. They cluster into smaller triangles, that eventually collapse into even smaller ones.

noneuclideandreamer, 5 months ago to math German

Merry 3-Adical Gravity!

#math #codeart #3adica #gravity #mastoart

81 little triangles moving in discrete jumps on an invisible grid of 30-60-90 triangles under the influence of each other's masses.

noneuclideandreamer, 5 months ago to math German

Fine Tuning Gravity on 3-Adics... This looks cool, but Gravity feels... A tad too weak. 🤔

#gravity #3adica #codeart #math #mastoart

Triangles moving in discrete orbits of /length 3. Gravity excites them to change the level of the orbit, which means the step size.