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Some of the entropy stuff seems a bit confused.
As time goes on, Bitcoin's blockchain's entropy is decreasing, not increasing. The [genesis-block](https://en.bitcoin.it/wiki/Genesis_block) is like a [nucleation-seed](https://en.wikipedia.org/wiki/Seed_crystal), and the blockchain's growing from that genesis-block like ice crystallizing from a nucleation-seed as the surrounding water freezes.
The second-law-of-thermodynamics asserts that entropy tends to increase in the overall system, in a cumulative sense, but not necessarily throughout the entire system. Bitcoin's blockchain's removed entropy tends to imply an increase of entropy in the surrounding environment (leading to the environmental concerns with its energy-consumption).
If Bitcoin's mining-difficulty were reduced and the miner-pool shrunk a lot, then Bitcoin's blockchain would have less entropy removed, but the environment would have less entropy added to it as Bitcoin's power-consumption would be less.
This is by-design. For example, if you want a secure password, then you want it to have [high entropy](https://en.wikipedia.org/wiki/Password_strength#Entropy_as_a...), because then it's harder for an attacker to guess your password. Bitcoin's the same way, except that it doesn't start knowing the password -- instead, Bitcoin asserts that whoever controls the most entropy-removing-power (mining power) is the correct authority. So that's why [Bitcoin sets a high-enough difficulty](https://en.bitcoin.it/wiki/Difficulty): it needs a high-enough difficulty to prevent someone from easily [faking a longer blockchain](https://en.wikipedia.org/wiki/Double-spending#51%_attack).