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.
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.