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Can mathematical algorithm be used as a substitute of POW?

I got here throughout paper that argue that an algorithm based mostly on Collatz Conjecture can carry out sooner than POW based mostly on SHA-256.

Assuming that the outcomes are correct, what’s your ideas about this method ?
And might this perform be utilized for the bitcoin Blockchain ? If not why is that ?

The paper in concern.
Efficiency Analysis of Proof-of-Work and Collatz Conjecture Consensus Algorithms

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