The truth is that money, conceptually, is a very simple construct, which can be explained in a couple words. Basically, it is a nondimensional system of measuring value of things with some arbitrary point of reference. Nondimensional here means that it doesn't have any particular unit of measurement attached (like kilo, meter, or anything from physical world). In short, it is the forms of money where things get truly complicated
I've seen people say that intrinsic value is a requirement for money, but I think they're wrong. It seems that the only true requirement for money is that it's scarce. Without a sense of scarcity, all value becomes arbitrary. Past that, all that's really required is a general consensus among people to use something as money.
Satoshi made a great post about this many years ago.
And there is nothing which could conceptually prevent Bitcoin from being a "Turing-complete" form of money
I don't understand what this means. Turing completeness is just a statement about whether a system can perform any possible calculation or computer program. What does this have to do with money?
