Thanks a lot for posting this, Jessica! A few comments:
It’s an alternative ontology, conceiving of reality as a self-processing language, which avoids some problems of more mainstream theories, but has problems of its own, and seems quite underspecified in the document despite the use of formal notation.
I think this is a reasonable take. My own current best guess is that the contents of the document uniquely specifies a precise theory, but that it’s very hard to understand what’s being specified without grokking the details of all the arguments he’s using to pin down the CTMU. I partly believe this because of my conversations with Chris, and I partly believe this because someone else I’d funded to review Chris’s work (who had extensive prior familiarity with the kinds of ideas and arguments Chris employs) managed to make sense of most of the CTMU (including the portions using formal notation) based on Chris’s written work alone, in a way that Chris has vetted over the course of numerous three-way Zoom calls.
In particular, I doubt that conspansion solves quantum locality problems as Langan suggests; conceiving of the wave function as embedded in conspanding objects seems to neglect correlations between the objects implied by the wave function, and the appeal to teleology to explain the correlations seems hand-wavey.
I’m actually not sure which quantum locality problems Chris is referring to, but I don’t think the thing Chris means by “embedding the wave function in conspanding objects” runs into the problems you’re describing. Insofar as one object is correlated with others via quantum entanglement, I think those other objects would occupy the same circle—from the subtext of Diagram 11 on page 28, The result is a Venn diagram in which circles represent objects and events, or (n>1)-ary interactive relationships of objects. That is, each circle depicts the “entangled quantum wavefunctions” of the objects which interacted with each other to generate it.
Regarding quantum, I’d missed the bottom text. It seems if I only read the main text, the obvious interpretation is that points are events and the circles restrict which other events they can interact with. He says “At the same time, conspansion gives the quantum wave function of objects a new home: inside the conspanding objects themselves” which implies the wave function is somehow located in the objects.
From the diagram text, it seems he is instead saying that each circle represents entangled wavefunctions of some subset of objects that generated the circle. I still don’t see how to get quantum non-locality from this. The wave function can be represented as a complex valued function on configuration space; how could it be factored into a number of entanglements that only involve a small number of objects? In probability theory you can represent a probability measure as a factor graph, where each factor only involves a limited subset of variables, but (a) not all distributions can be efficiently factored this way, (b) generalizing this to quantum wave functions is additionally complicated due to how wave functions differ from probability distributions.
It seems if I only read the main text, the obvious interpretation is that points are events and the circles restrict which other events they can interact with.
This seems right to me, as far as I can tell, with the caveat that “restrict” (/ “filter”) and “construct” are two sides of the same coin, as per constructive-filtrative duality.
From the diagram text, it seems he is instead saying that each circle represents entangled wavefunctions of some subset of objects that generated the circle.
I think each circle represents the entangled wavefunctions of all of the objects that generated the circle, not just some subset.
Relatedly, you talk about “the” wave function in a way that connotes a single universal wave function, like in many-worlds. I’m not sure if this is what you’re intending, but it seems plausible that the way you’re imagining things is different from how my model of Chris is imagining things, which is as follows: if there are N systems that are all separable from one another, we could write a universal wave function for these N systems that we could factorize as ψ_1 ⊗ ψ_2 ⊗ … ⊗ ψ_N, and there would be N inner expansion domains (/ “circles”), one for each ψ_i, and we can think of each ψ_i as being “located within” each of the circles.
Thanks a lot for posting this, Jessica! A few comments:
I think this is a reasonable take. My own current best guess is that the contents of the document uniquely specifies a precise theory, but that it’s very hard to understand what’s being specified without grokking the details of all the arguments he’s using to pin down the CTMU. I partly believe this because of my conversations with Chris, and I partly believe this because someone else I’d funded to review Chris’s work (who had extensive prior familiarity with the kinds of ideas and arguments Chris employs) managed to make sense of most of the CTMU (including the portions using formal notation) based on Chris’s written work alone, in a way that Chris has vetted over the course of numerous three-way Zoom calls.
I’m actually not sure which quantum locality problems Chris is referring to, but I don’t think the thing Chris means by “embedding the wave function in conspanding objects” runs into the problems you’re describing. Insofar as one object is correlated with others via quantum entanglement, I think those other objects would occupy the same circle—from the subtext of Diagram 11 on page 28, The result is a Venn diagram in which circles represent objects and events, or (n>1)-ary interactive relationships of objects. That is, each circle depicts the “entangled quantum wavefunctions” of the objects which interacted with each other to generate it.
Regarding quantum, I’d missed the bottom text. It seems if I only read the main text, the obvious interpretation is that points are events and the circles restrict which other events they can interact with. He says “At the same time, conspansion gives the quantum wave function of objects a new home: inside the conspanding objects themselves” which implies the wave function is somehow located in the objects.
From the diagram text, it seems he is instead saying that each circle represents entangled wavefunctions of some subset of objects that generated the circle. I still don’t see how to get quantum non-locality from this. The wave function can be represented as a complex valued function on configuration space; how could it be factored into a number of entanglements that only involve a small number of objects? In probability theory you can represent a probability measure as a factor graph, where each factor only involves a limited subset of variables, but (a) not all distributions can be efficiently factored this way, (b) generalizing this to quantum wave functions is additionally complicated due to how wave functions differ from probability distributions.
This seems right to me, as far as I can tell, with the caveat that “restrict” (/ “filter”) and “construct” are two sides of the same coin, as per constructive-filtrative duality.
I think each circle represents the entangled wavefunctions of all of the objects that generated the circle, not just some subset.
Relatedly, you talk about “the” wave function in a way that connotes a single universal wave function, like in many-worlds. I’m not sure if this is what you’re intending, but it seems plausible that the way you’re imagining things is different from how my model of Chris is imagining things, which is as follows: if there are N systems that are all separable from one another, we could write a universal wave function for these N systems that we could factorize as ψ_1 ⊗ ψ_2 ⊗ … ⊗ ψ_N, and there would be N inner expansion domains (/ “circles”), one for each ψ_i, and we can think of each ψ_i as being “located within” each of the circles.