# What is ρ?

What is ρ?

Related to information content of the universe

Base of log for algorithmic information content?

In time t, how many distinct rules can I reach?

To specify a new rule, I have to give a certain amount of data.

Assume the rulial multiway graph is a binary tree. In each elementary time, there is additional one bit needed to specify which branch you are on.

[ Maximum rate at which you can learn about the rule for the universe? ]

Maximum rate at which you can change your description of the universe ;

changing your description is like having another prefix for your program ; so unit is bits/second

changing your description is like having another prefix for your program ; so unit is bits/second

Assume physical laws take a certain number of bits to describe

Maximum rate of being able to describe the world in terms of new laws

Maximum rate of being able to describe the world in terms of new laws

ρ is descriptional complexity of universe (in bits) to us / elementary time

[ Normalized by the way we choose to measure content of a theory ]

Elementary length in rulial space: shortest distance between two neighboring rules....

Quantization of theories | quantum of difference between theories

ρ is smallest distance between theories / elementary time

Maximum speed is a consequence of computational irreducibility ; rate of converting between irreducible

Want to describe something different ... then can compute [[[ ? predict different kinds of things ]]]

Fundamental base to information content like moles are base to amount of substance