Dear Dr. Hector Zenil,
I find this essay to require a large challenge on many points. I will start slowly and see if there is any interest. From page one:
"Whether the universe began its existence as a single point, or whether its
inception was a state of complete randomness, one can think of either the point
or the state of randomness as quintessential states of perfect symmetry. Either
no part had more or less information because there were no parts or all parts
carried no information, like white noise on the screen of an untuned TV. In
such a state one would be unable to send a signal, simply because it would
be destroyed immediately. But thermal equilibrium in an expanding space was
unstable, so asymmetries started to arise and some regions now appeared cooler
than others. The universe quickly expanded and began to produce the first
structures."
This reads like the Book of Genesis. Without intelligence behind it, there is a lot of explaining to do. First question: Symmetry breaking of less or no information leads to increased information?
Moving to the end:
"An analog world means that one can divide space and/or time into an infinite
number of pieces, and that matter and everything else may be capable of fol-
lowing any of these infinitely many paths and convoluted trajectories. ..."
What is the empirical evidence to support the idea of space and/or time can be divided into pieces? I will leave it at two question for now. Later I will ask about bits and strings of bits and information and meaning.
James