You can't use entropy to directly model Bitcoin because hashing itself is stochastic.
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The stochastic nature of hashing is irrelevant to entropy modeling in Bitcoin. What matters is the finite, predetermined search space (a bounded entropy field) being resolved. Whether the valid hash is found on the first try or the trillionth, the total entropy being collapsed remains the same.
The randomness is local; the structure is global. Bitcoin defines the cost of resolution, not the path to it. That’s exactly why entropy can be modeled: the space is known, the work is measurable, and the outcome is irreversible.