Comment by imadr

P=NP -> 3SAT has a polynomial time algorithm

P=/=NP -> 3SAT has no polynomial-time algorithm

ETH is true -> 3SAT has no subexponential time algorithm

ETH is false -> 3SAT has a subexponential time algorithm

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ETH true -> P=/=NP

ETH false (!!!) -> P ?= NP remain unsolved