The Earth is not a closed system. Because we have so much input energy, entropy is basically irrelevant. The same entropy-based argument that is used to undermine abiogenesis can also be used to argue against mitosis. But we observe mitosis. The reason that entropy doesn't apply to the mitosis argument (and by extension, the abiogenesis argument) is that non-closed systems don't necessarily have abide by the conclusions of entropy. In fact, they are basically guaranteed not to do so.
As to the last bit, there's nothing in physics that prohibits it. After all, if it turns out that we can do it, physical laws must by definition allow it. The probability argument is more reasonable, however.
The question is, what are the conditions necessary to form life in the laboratory? Are they consistent with the conditions believed to be present on the Earth a few billion years ago? If not, is there a place in our solar system that did have those conditions at that time?
If we find consistency, then the probability is really not that low, especially given the time frame, and also the number of solar systems that are likely to have produced those conditions in the universe. If we don't find consistency, then the probability is vanishingly small.
Entropy can never be irrelevant, especially when it comes to energy input.
Excessive heat destroys life and turns the molecules into gases.
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Stephen Hawking once used your argument about probability and claimed that a bunch of chimps typing randomly on a typewriter could produce a sonnet if given enough time. Some college students set up the experiment as described by Hawking. After quite some time had passed the chimps had failed to produce even one sentence. Hawking may be a genius, however his claim failed a practical experimental test.
Another huge factor that most ignore is the question of whether or not the RNA molecules contain useful information in the digital code. If the code is random, it will not produce anything living.
Spend some time doing a little research on the Human Genome Project focusing on the amount of information in one human cell.
Yes, I realize we are complex organisms.
However, the idea remains the same. It takes a tremendous amount of information to produce even simple cells.
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