The author clearly doesn’t understand Bitcoin. His claim collapses the moment you realize Bitcoin already demonstrates what he says doesn’t exist as Bitcoin is both the measurement and the object in nature.

In Bitcoin, the search space per block is finite: Ω= 2^{32}* D bits, where D is difficulty. That is a discrete, bounded amount of bits the literal etymological meaning of quantum (“how much”).

Landauer already killed “bits don’t exist” nonsense in the 1960s. He proved that information is physical: erasing a single bit has an irreducible energy cost.