You could imagine much simpler universes than ours. Why don’t we live in the simplest possible universe?
My answer:
Simpler universes are more likely, but complex universes vastly outnumber simple ones.
Question:
How complicated should we expect our universe to be? How many bits of information should we expect it takes to describe our universe?
My answer:
The entropy of a Solomonoff prior.
Question I have now:
How does one estimate the entropy of a Solomonoff distribution? And is the answer in line with how many bits of it takes to encode the laws of physics?
Question:
You could imagine much simpler universes than ours. Why don’t we live in the simplest possible universe?
My answer:
Simpler universes are more likely, but complex universes vastly outnumber simple ones.
Question:
How complicated should we expect our universe to be? How many bits of information should we expect it takes to describe our universe?
My answer:
The entropy of a Solomonoff prior.
Question I have now:
How does one estimate the entropy of a Solomonoff distribution? And is the answer in line with how many bits of it takes to encode the laws of physics?