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This is interesting. If we can put an upper bound on the rate (what is it?) we could rule out abiogenesis if we could lower that upper bound sufficiently. Most here seem to reason the other way around - it must have happened, so we'll just keep looking until we figure out how. I'd like to think that we could reach a point at which we could confidently say "this universe doesn't have the probabilistic resources to mak…
I don't see how one could rule it out, since we don't know the number of planets on which the conditions required for abiogenesis could have occurred. It's not limited to the # of planets in the volume of the universe observable from Earth.
All you can do is build bigger vats, just like physicists build bigger supercolliders, hoping for a result.