Maybe if we could use the inherent incalculability of the three-body problem as the basis for a cryptocurrency. You'd need to observe the universe to "find" astrocoins.
It would be Astrology on steroids.
Of course that leaves out verifiability, encryption, anonymous identity yet ownership.
What if you (somehow) knew both parts of the quantum uncertainty portions of a particle because you initiated the system. Then you could demonstrate ownership by being able to predict the location or the momentum at any time based on that.
But it would be fun to hold cryptocoins called Heisenbergs
But that is an actual physical particle.