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| I found this lecture by Gorard: https://youtu.be/NupBxcmAwYs?t=4211 At 1:10:10, he states that he counts the number of paths to calculate the amplitude: "And then the natural measure that we define on evolution graphs in terms of the path... |
| I would like to add to this thread mentioning that Gorard does similar imbedding in his paper on [quantum mechanics][1], where the definition of branch-like or entanglement-like separation depends on the particular way one imbeds the multiway system... |
| Thank you both for sharing your thoughts. I think I like the idea of a light cone that emerges fully only when taking the limit of a big causal graph embedded in a manifold. Pavlo, interesting idea. I hadn't thought about that. However it may have... |
| Just to summarize, I answered your question: > it is imperative to make sure that Wolfram model reproduces quantum > mechanics to a satisfactory degree with the reference of the Wolfram Model reproducing ZX calculus (a part of quantum... |
| [@David Petry][at0]: I think that your project in theoretical music and its connection with the Wolfram Physics Project is interesting enough to be part of its own thread. I recommend you to write a [computational essay][1] explaining your ideas from... |
| By the way, [Tommaso Bolognesi][1] has several interesting papers about causality in a framework rather similar to the Wolfram Model. For example: [Algorithmic Causal Sets for a Computational Spacetime][2] [1]:... |
| You are right, even when the foliation does exist, achronicity demands it must be unique, so there is no freedom at all. The proof is as follows: Consider a causal graph and suppose that a foliation with the given properties can be constructed. We... |
| The U(1) gauge field should be obtained from permutations in the following way (quotation from [here][1]): > [...] for each vertex in a spatial hypergraph, there are many possible > orientations in which a hypergraph replacement rule could be... |
| I must side with Pavlo. Saying that Minkowski and Einstein and others did a mistake really sounds crackpottish. It sounds like we should throw away general relativity and quantum mechanics because they were mistakes. Of course it is not the case,... |
| Ok, yes, very good. If we have at least two rules, then the reverse rules do not have to be causally invariant. I also came up with a single rule example: Consider the rule AB->AA. It is causally invariant for all starting states (can prove). If we... |