3 ms·
Fascinating. I notice some arguments that sound a bit like CA applications of Noether's theorem (symmetries correspond to conservation laws). For example, "as a
by sgentle 8y ago
Fascinating. I notice some arguments that sound a bit like CA applications of Noether's theorem (symmetries correspond to conservation laws). For example, "as a consequence of the time-reversibility, no pattern can completely disappear", and "collision of a lightest spaceship with a static life always produces another lightest spaceship and the same static life". Could these be formulated as time-energy and position-momentum relationships?
- jes5199 8y agomomentum maps pretty strangely to automata, since to move more slowly you need a more complicated spaceship
- goldenkey 8y agoThats actually the principle behind doubly special relativity and the Feynman checkerboard. If all fundamental particles move at C, then movement at less than C for a "macroscopic object" would have to be facilitated by internal bouncing. You can actually get special relativity from a couple principles: 1) All fundamental particles move at C. C usually equals 1 cell per tick. 2) Energy = amount of change per unit time. Change defined as particle movement or particle interaction. 3) Complimentarity - A particle cannot interact and move at the same time. 4) Mass = amount of internal bouncing 5) Speed of an object = (internal change due to energy / total change due to energy) Heres a CA I made based off of these concepts: https://github.com/churchofthought/ScatterLife/blob/master/README.md https://github.com/churchofthought/ScatterLife/blob/master/R...