The problem is, there is no heavy lifting. “We made a causal network, therefore, special relativity”. Sorry, but no, you need to actually explain why the vacuum seems Lorentz invariant on the macroscopic level, something that’s highly non-obvious given that you start from something discrete. A discrete object cannot be Lorentz invariant, the best you can hope for is something like a probability measure over discrete objects that is Lorentz invariant, but there is nothing like that in the paper. Moreover, if the embedding is just an illustration, then where do they even get the Riemannian metric that is supposed to satisfy the Einstein equation?
The problem is, there is no heavy lifting. “We made a causal network, therefore, special relativity”. Sorry, but no, you need to actually explain why the vacuum seems Lorentz invariant on the macroscopic level, something that’s highly non-obvious given that you start from something discrete. A discrete object cannot be Lorentz invariant, the best you can hope for is something like a probability measure over discrete objects that is Lorentz invariant, but there is nothing like that in the paper. Moreover, if the embedding is just an illustration, then where do they even get the Riemannian metric that is supposed to satisfy the Einstein equation?