Actually, the title is a sensationalist lie designed to attract attention. I have no proof. Obviously. I'm not a mathematician. But if I did, it would go something like the following.
Step 1: Assume that there are ultimate laws of physics governing everything in the world. Say, the wave function of the Universe, whose knowledge allows one to know the Multiverse, as it was, is or will be. Or some other set of laws.
Step 2: Write these laws as a mathematically consistent formal system representing something akin to the Tegmark Level IV Ultimate ensemble.
Step 3: By Godel's incompleteness, there are some theorems in this formal system that cannot be proven.
Step 4: By construction, these theorems correspond to physical laws whose origins must forever remain a mystery to those inside the Multiverse, because they are a part of it.
Step 5: The consistency of our Multiverse can be proven in a formal system which describes physical laws of a larger world, in which our Multiverse is a small part of, essentially a simulation.
Step 6: Since we cannot determine the origins of our own physics, we cannot figure out a way to break out of our simulation.
On the bright side, there is a Corollary: Every level above us is also a simulation, so we are not alone!
I also think that is the cause of almost all the downvotes, the numbers match well. The ideas presented are about interesting and relevant topics so potentially worthwhile even if the specific proof does not hold up. If not for the appearance of certainty (esp. "mathematical proof") where you should have been offering it up as something you'd like thoughts on (esp. if you had specific questions, pointed out parts you were less sure about, etc) I would likely have upvoted, as is I only didn't downvote because it seems you've lost more than enough karma for this already and it would feel like kicking a dead horse. I'm sure by now anyone who sees this will realize clickbait titles are not a great way to get points on lesswrong.
Actually, the title is a sensationalist lie designed to attract attention. I have no proof. Obviously. I'm not a mathematician. But if I did, it would go something like the following.
Step 1: Assume that there are ultimate laws of physics governing everything in the world. Say, the wave function of the Universe, whose knowledge allows one to know the Multiverse, as it was, is or will be. Or some other set of laws.
Step 2: Write these laws as a mathematically consistent formal system representing something akin to the Tegmark Level IV Ultimate ensemble.
Step 3: By Godel's incompleteness, there are some theorems in this formal system that cannot be proven.
Step 4: By construction, these theorems correspond to physical laws whose origins must forever remain a mystery to those inside the Multiverse, because they are a part of it.
Step 5: The consistency of our Multiverse can be proven in a formal system which describes physical laws of a larger world, in which our Multiverse is a small part of, essentially a simulation.
Step 6: Since we cannot determine the origins of our own physics, we cannot figure out a way to break out of our simulation.
On the bright side, there is a Corollary: Every level above us is also a simulation, so we are not alone!