It may be possible to formalize your idea as in Orseau’s “Space-Time Embedded Intelligence,” but it would no longer bear much resemblance to AIXItl. With that said, translating the informal idea you’ve given into math is highly nontrivial. Which parts of its physical world should be preserved and what does that mean in general? AIXI does not even assume our laws of physics.
It may be possible to formalize your idea as in Orseau’s “Space-Time Embedded Intelligence,” but it would no longer bear much resemblance to AIXItl. With that said, translating the informal idea you’ve given into math is highly nontrivial. Which parts of its physical world should be preserved and what does that mean in general? AIXI does not even assume our laws of physics.