Muha_A

You expect too much from automata. 37R is reversible and it have distioguishable mobile objects (rows). Therefore it have some analogue of conservation low. Cellular wold is not defferenciable and likely not quantifiable. But 37r let us to see conservatiom some as a consequence of information conservation (reversiblity). I do not know whether the official science is able to bind such things. Photons (or wave) do't change their parameters is this "interaction". Them just exixts in superposition.

We just paint start combination. For example: 00000000000000000000010101010101010000000000000000000 After this we start program and see rows and photons which move, split and other...

As for Conway's game of life in itself it is a bad example. It use two dimensions and not reversible. Two dimensions do not allow of wave-like processes existing. In addition, model must be reversible. Universe is reversible and because of this we can know our past. As for cellular automata in general I do't think that it can be as good model as equation. But cellular automata can be very useful as a first step to "a new kind of science" - information science or information physics. IMHO, the challenge is to combine the ideas of the algorithm and the information with the principles of interference of alternatives. As for 37r we can not "do properties" or do anything. We can just observe 37r evolution. It very simple. Rule description you can see in Wolfram book New kind of science. It is strange for me that Wolfram himself did not notice 37R-universe similarity I've illustrated here. I was more observant than Wolfram . About rows mass - no, big row have not big mass. Moreover in a long time period rows expanded and fill all closed space region. It because row is not single object but rather it is a pair of connected objects: left and right board of row. I believe that information conservation demand in reversible 37R must produce some variant of mass parameter for "rows". But difficulty lies in a fact that 37R-wold is not differentiable. Therefore the conservation laws in 37R are more likely to be expressed in the some form like tables than in the form of the equation...

Decay of atom (nucleus?) which has been destabilized by photon. 37R follow energy conservation law: in evolution of closed 37R system we always have moments when we see only "rows"; we can count this rows and count does not changes. For example: Step 0. We have 3 rows: Step 60 000. We have 2 rows and 2 photons: Step 17 000 000: we have 3 rows again. Same picture is observed in all closed 37R-systems. Collision between row and dense "wall": Wall can not swallow of energy and this energy carried away by photon. ("wall" is Eden - garden configuration which not have analogue in real universe). Big bang in 37R: We can see particle formation in big bang to the time when density reduced. This big bang a few thousand steps later (heat death): I hope you have fun . Why 37R is so similar to real universe? 1. 37R does not need in particle wave duality because in one dimension wold there no differences between particle and wave. 2. 37R is reversible. 3. 37R rule have enough symmetries to show not trivial behavior. 4. 37R rule have not enough symmetries to show chaotic behavior. 5. 37R have mobile configurations. It all very interesting for my but I not sure that someone can to understand my English at first .

(I do not speak English but understand everything ) Common information about 1D reversible cellular automata 37R you can get in google. let's get started... Empty spacetime in 37R universe: Photons are particles which move as fast as possible and do not interact each other. Photons in 37R: Subatomic particles analogue are "rows". Two particles collision in 37R: Some other types of rows: Stable interlacement of two rows is 37R "atom": The next picture show collision between photon and atom. Atom has changed but has not lost stability. There you can see two particles which merge into atom. Photon carries away excess energy... Sorry... It carries away information about collision. This is necessary because 37R is reversible. Another atom formation: Atom excitation by photon, unstable atom and photon emission by excited atom: