25 ms·
Since this is (at least approximately) invariant under continuous shifts, continuous rotations, and time, should there be some kind of conservation of momentum
by Aardwolf 2y ago
Since this is (at least approximately) invariant under continuous shifts, continuous rotations, and time, should there be some kind of conservation of momentum and energy be visible? At least the amount of white/black shade in cells isn't conserved as far as I can tell (unless perhaps the white is spreading out while fading to black over huge distances... but the grid is wraparound here so probably not the case here)
- Y_Y 2y agoAssuming you're thinking about applying Noether's theorem, you need your system to have something like a Lagrangian (or be symplectic). From a quick glance it doesn't seem to me that you can write down an action S for the system so it's not clear that you could apply the theorem to get conserved quantities corresponding to the local symmetries of S.