In the abstract, it’s a familiar idea that given any particular description language, we can always explicitly program any universal computer to translate it to another description language. In studying things (like cellular automata) out in the computational universe of simple programs, I have normally found that computational irreducibility—and phenomena like undecidability—are everywhere. It also doesn’t matter what the elements are called. (The situation is ultimately very similar to the problem of decoding “encrypted” thermodynamic initial conditions that I mentioned above.). Stephen Wolfram is a computer scientist, mathematician, and theoretical physicist who is the founder and CEO of Wolfram Research, a company behind And in the context of our models they’re just different facets of the same idea. Having myself explored the computational universe of simple programs for some forty years, I have to say that even now it’s amazing how often I’m humbled by the ability of extremely simple rules to give behavior I never expected. (Probably the closest current mathematics to this is what’s been coming out of the very active field of geometric group theory.). Quantum measurement is really about what an observer perceives. But let me try to give a flavor of it. But to make everything work we’re going to have to build on a lot of what my physicist friends have been working so hard on for the past few decades. If it is correct however, what has been learned or hypothesized about the underlying medium/structure for execution of these rules (OS? People might think that interest in fundamental science has waned. And the analog of speed in physical space is the rate of entangling new quantum states. I’d just thought of it as an attribute that things (atoms, photons, whatever) can have. The project was launched in April 2020 with the main contributors being Stephen Wolfram, Jonathan Gorard and Max Piskunov. Most likely lots of oligons would have been produced in the very early universe, but with their very weak interactions, they’d soon “drop out of thermal equilibrium”, and be left in large numbers as relics—with energies that become progressively lower as the universe expands around them. Congratulations for your work and greetings from Earth Well, I think it’s very much like the picture above. If we just want to know what the universe does, well, then we have the universe, and we can just watch what it does. So today marks the debut of the Wolfram Physics Project. Here’s an example of a wonderful correspondence: curvature in physical space is like the uncertainty principle of quantum mechanics. But for now let’s just recall that particles (like electrons) in our models basically correspond to locally stable structures in the hypergraph. In effect, because of the foliation we picked, time operates slower. And we can imagine that as our system evolves, we’ll get larger and larger branchial graphs, until eventually, just like for our original hypergraphs, we can think of these graphs as limiting to something like a continuous space. And in a sense whatever specialness there is to this rule is just a reflection of the specialness of our mode of description. But the process of measuring dimension shows an example of how we can start making “physics-connectable” statements about the behavior of our rules. With some particularly simple rules, the total size of the hypergraph has to just uniformly increase; with others it can fluctuate. It’s a weird phenomenon implied by our models, but what’s perhaps particularly interesting about it is that it’s very much aligned with conclusions about black holes that have emerged in some of the latest work in physics on the so-called holographic principle in quantum field theory and general relativity. It’s something that (at least so far) is only clear in the context of our models. In general, the “volume” of the d-dimensional analog of a sphere is a constant multiplied by rd. What an incredible moment to witness! There was a bit of silly noise around the release of this book stating that Stephen Wolfram claims to have discovered the fundamental theorem of physics, Grand Unified Theory or whatever you choose to call it. Or, said another way, what events must have happened in order to create the input that’s needed for some other event? It has to be a language that humans can understand. There’s one immediate thing: that the universe, whatever foliation one uses to describe it, is just a universal computer, and nothing more. Its 3m in the morning, and i can’t pull myself away from this website. We think we’re “going forward in time”. But let me make at least a few comments here. But really it’s because space is effectively infinite dimensional. But the same setup lets us also consider relations with more elements. And it turns out to be what’s sometimes called the quantum Zeno effect: if you repeatedly measure a quantum system fast enough it won’t change. Back when I used do theoretical physics for a living, I must admit I didn’t think much about trying to find a fundamental theory; I was more concerned about what we could figure out based on the theories we had. What this rule says is to pick up two relations—from anywhere in the collection—and see if the elements in them match the pattern {{x,y},{x,z}} (or, in the Wolfram Language, {{x_,y_},{x_,z_}}), where the two x’s can be anything, but both have to be the same, and the y and z can be anything. I’m exhilarated that I can understand any of it! If we ignore all matter in the universe, our universe is basically a big chunk of space. And while this is what makes them easy to recognize, it also means that they’re not actually much like our universe, where there’s in a sense much more going on. [11], The Wolfram Physics Project is being presented to the public as an open project, where all the technical documentation as well as software tools and live recordings of working sessions on the project are freely accessible to the public. But now there’s a critical point. I’m thrilled to say that I think we’ve found a path to the fundamental theory of physics. In a sense computational irreducibility implies that there will always be surprises, and that’s certainly what I constantly find in practice, not least in this project. Well, something similar happens if you pass the entanglement horizon—except now you’ll get elongated in branchial space rather than physical space. There’s a way of talking about it in the standard language of quantum mechanics: as we move in branchial space, we’re effectively getting “entangled” with more and more quantum states. The speed of light c is a fundamental physical constant that relates distance in physical space to time. And just as there’s a causal graph that effectively knits together elementary light cones, there’s something similar that knits together entanglement cones. But it’s just in the last few months that it’s finally come together. “ you-are-not-expected-to-understand-this ” air, though, as opposed to something much wilder y or! 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