Can the function of the Central bank become automated? How plausible is the idea of the central banks function becoming automated. Central Banks seem to function as a feedback depending on the flow of money, inflation and fractional reserve. If the plausibility of automatizing the central bank, what kind of electronic data will it need - will it look something like blockchain technology where there is a ledger for each transaction?
It is conceivable that one of the functions of a Central Bank, of being a regulator of money supply, could ultimately be automated, if artificial intelligence were to advance enough. However, that role is much more complicated than merely feedbacks on flow of money, inflation and fractional reserve. So for the foreseeable future, that's a role filled by a panel of human experts.

And no, it will not be a distributed ledger,  because that's a hopelessly inefficient way to record Central Bank transactions. The Central Bank maintains its own ledgers, and will continue to do so. It is not the case that each transaction creates a new ledger. Instead, each transaction creates corresponding entries in two ledgers - that is the essence of double-entry book-keeping.