Let’s Hope I don’t Die

I am adventuring this weekend but we still have a post. This marks 10 weeks of consistency. Yay! I keep trying to cover a little bit of Conspansive Duality, but keep running into problems I don’t quite know how to solve. The basic idea seems fairly straightforward intuitively. Effectively it states there’s a duality between the universe getting bigger and the contents of the universe getting smaller, and because of the reality principle, conspansive duality prefers that the contents are getting smaller. Due to the reality principle the universe (or reality) cannot expand since there is nothing for it to expand into nor any external scale greater than the universe with which to measure it. Pretty straightforward, but I imagine the math would be a nightmare. Anyway: I’m having difficulty reconciling two contradictory pictures. On the one hand, events are embedded endomorphically within their past images. On the other hand, events that are spacelike separated are somehow able to interact at a future point. If the events are contracting within images of past events that do not themselves interact, how do they ever expand and interpenetrate? If events are expanding and interpenetrating, how are they embedded within their own prior image? If the answer is “it’s a duality principle, they’re two separate views”, great! But information must still transfer in either view. In one view, the transfer of information between events seems to be missing. In the other, the transfer of heritability between an event and its past seems to be missing. Maybe the answer is to look at it like “the past is getting bigger” (check the rotated Minkowski diagrams to see what I mean, section 4.8.6.3 of the Major Papers), but then what is the past getting bigger into? Maybe the answer is “a certain portion of the beginning, limited by the rescaling factor c”, but we’ll c.

I was reading in another one of the random Langan writings I have laying around that the CTMU was at least partly inspired by something called “Nested Simulation Tableaux” (NeST). Seeing as there’s a lot of technical computer science and mathematics hidden beneath the surface in the paper, it seems worth a look. So I’m going to take a bit of a detour through Open Logic Project for a week or two to try and get a handle on what NeST might really be like. May even post some code to github if I can get through it fast enough. Wish me luck!