I used to work close to people who were actually somewhat close to the stuff contained in the papers. The consensus was that there is nothing of substance to en

I used to work close to people who were actually somewhat close to the stuff contained in the papers. The consensus was that there is nothing of substance to engage with. Edit: When the technical papers appeared in 2020, I personally went through them in some detail. Tl;dr there are almost no novel ideas of substance in there. Specifically I looked at the "launch documents" provided here: https://wolframphysics.org/technical-documents/ https://wolframphysics.org/technical-documents/ which, to my knowledge, still are the closest we have to a coherent description of what the grand vision is. Unfortunately I didn't keep my detailed notes, but looking specifically at the relativistic paper, it might appear substantial, but that is because large parts of it review well-known basic results in discrete geometry and causal sets. The actual content is described in a hand wavy way, with little in calculations or rigor (and some elementary mistakes, too). The issue is that everything that goes beyond standard results is essentially wishful thinking or circular. "If my update rules are such that they produce a causal structure that corresponds to that of a 4-dimensional spacetime, then the wolfram model produces a 4-dimensional spacetime!". This would be interesting if there was any way to characterize the update rules that do so. However, there is not. There is simply the implication that since update rules are very general it must surely be possible to find one that does. Actually doing so is left as an exercise to the reader. A prime example is in Section 3.3: In all that follows, we shall assume one further condition on the hypergraph update rules, beyond mere causal invariance: namely, “asymptotic dimensionality preservation”. Loosely speaking, this means that the dimensionality of the causal graph show converge to some fixed, finite value as the number of updating events grows arbitrarily large. However, abstractly defining ensembles of causal graphs that actually produce (at least with high likelihood) the causal graphs of low dimensional manifolds is exactly the core of the issue. If you are able to do that, then the standard results of causal set theory get you the rest of the way. This central difficulty is simply "assumed" to be solved. No further discussion is given on what type of update rules would actually be dimensionality preserving, nor is this identified as a key research question, nor is any evidence or heuristic provided that WOlframs approach has anything new to say on this problem. As far as I recall the quantum mechanics paper was even worse.