It is not just about a base. It is about binary tech essentially having only two states while there is an infinite amount of information present between that 0 and that 1 which is completely lost, and the whole system is essentially killed and brought to life during every cycle. Whereas analog is always on and does not have this 1 and 0 limit. I am not saying analog is the solution here, only that it looks like it might be and that binary is definitely not it.

Fundamentally it comes down to the information content/capacity of a system, which can be expressed as Shannon information/entropy.

Analog has the ability to represent much greater levels of information, but that's about it. Otherwise there's no material difference between analog/digital from an information theoretic view. It's all equivalent.