thank you for an interesting and educable answer. i will have to read it a couple of times more to really grasp it all and let it in. I ordered a book last year, its called "Theory And Applications of Cellular Automata" by Martinez and le others, that contains papers with different solutions to problems and papers that introduces applications on some topics in CA. I just recently started looking into it and I find it difficult to understand, but I get some clues by reading the Abstract sections etc.
What I do is much simpler than all these things. Because I like simple solutions! and my solution to this specific problem was a very logical thinking, like injecting something into the automaton and just giving it the right directions.
I know that seeing a computer program that is correct, is not a reliable form of proof. thats why I am looking into actually writing a proof by dividing the different program codes into small sections, and getting it down as some form on a paper or something, hopefully. Ill ask here for help if i need it, if thats okay. i find this forum the best one considering the issues and problems I have, atleast it seems like a forum where one can learn, get hints about things, and talk about interresting subjects etc. But I would have to write down some stuff first, so that it doesnt look like gibberish. I talked with someone who work with patents here in my country - Just to hear if something like this would be worth to patent if it really was a solution to something. Really I dont want to do it, if it happens to be a solution! But I need a meeting with him before actually revealing anything about this, even if it might not be anything. I cant afford to patent it, but i would like some info from someone about it anyway. The only reason why I actually think this way is because "Rule 30" is allready patented. And, what would be a cooler idea to actually patent a reversible solution to that rule?
I dont think its extraordinary solution to all worlds problems what i have here, hehe. It took me one day to solve the problem i was facing. And when I looked on the web etc: I found out that no others had done this before. And some people say it's plain impossible. Even Stephen Wolfram himself. I dont understand what he and they mean by that, but anyway. How can something be impossible when I think I have the solution right here. Not that I care. What I care about is my work, and what i did that day was a very concentration to do things right. If I can prove that what I have is actually right, then I would be glad. I dont say those people are wrong, but I want to show how to solve a problem, by using a / some method(s), rather than wasting time on thinking that what I have here is not right, when I can't see it yet, because my program is showing the proof. I dont know how many iterations I would have to do and check to find that it is not correct, a million? or infinite many times? i think thats why i want it down on paper. im sure if i look closer I can find wrong things about it. But if I follow the logical methods I use, it doesnt seem like that. There you have some thoughts about what kind of problems i am in right now. hehe.
I tried to share my idea first at some site, but I didnt find any great answers back. I just got: "No, its impossible to do" etc.. but.. so i am trying to find an environment where knowledge is freely accepted and where people: mathematicians, physicists dont look at things that are impossible, but look on how things can be possible. if you know what i mean.
anyway, i could have written so much more here, i just have so much to say, but it would be too much to read hehe, so ill just wait and see what people say. i will look more into proofs etc. also its almost like i am not at the time being in the mood of putting my notes into something bigger and better. I think i need a break from that, so I will take it out later and look at it then. It's been a very strange past few days, thinking around this kind of thing. I will not have my technique secret after a few talks and when ive gotten a few answers to some questions that i have. i hope that it is okay! i will get back to this, when i have gotten the answers! I want information to be free! But sometimes I wonder, whats the reason why Rule 30 is already patented? Because its a good random generator or is used in public-key cryptography? and used in processes in nature (not only rule 30). but anyway. if one can reverse engineer things, nothing would be impossible! not even finding the cellular automaton for our universe! (although that requires alot of work