I believe it is very plausible to have something that is physically unpredictable, as long as the thing doing the predicting is bound by the same laws as what you are trying to predict.
[attempted proof omitted]
I hope I have shown how a simple lawful universe can be hard to predict by something inside it.
In short, stop thinking of yourself (and Omega) as an observer outside physics that does not interact with the world. Copying is disturbing.
Even though I do not have time to reflect on the attempted proof and even though the attempted proof is best described as a stab at a sketch of a proof and even though this “reversible logic gates” approach to a proof probably cannot be turned into an actual proof and even though Nick Tarleton just explained why the “one box or two box depending on an inherently unpredictable event” strategy is not particularly relevant to Newcomb’s, I voted this up and I congratulate the author (whpearson) because it is an attempt at an original proof of something very cool (namely, limits to an agent’s ability to learn about its environment) and IMHO probably relevant to the Friendliness project. More proofs and informed stabs at proofs, please!
Even though I do not have time to reflect on the attempted proof and even though the attempted proof is best described as a stab at a sketch of a proof and even though this “reversible logic gates” approach to a proof probably cannot be turned into an actual proof and even though Nick Tarleton just explained why the “one box or two box depending on an inherently unpredictable event” strategy is not particularly relevant to Newcomb’s, I voted this up and I congratulate the author (whpearson) because it is an attempt at an original proof of something very cool (namely, limits to an agent’s ability to learn about its environment) and IMHO probably relevant to the Friendliness project. More proofs and informed stabs at proofs, please!