I had meant AIXI and Goedel Machines, but if you've got a non-computational view that's also scientifically grounded, I'd love to hear it.
Goedel machines might actually be the closest thing to this in the computing literature, my reaction is less about the work itself than the rhetoric surrounding it, to be honest. JS should collaborate with a physicist on the thermodynamic side of the problem.
If you're intrigued, you could start with the article I linked above, or if you have journal access, anything from the same special issue. I chose that article just because it's the only one not behind a paywall.