Another example of fine-tuning is the Penrose number:
According to Penrose, universes “resembling the one in which we live” populate only one part in 10^10^123 of the available phase space volume.
More quotes on the fine-tuning in the universe:
Physicist Paul Davies has said, “There is now broad agreement among physicists and cosmologists that the Universe is in several respects ‘fine-tuned’ for life”. However, he continued, “the conclusion is not so much that the Universe is fine-tuned for life; rather it is fine-tuned for the building blocks and environments that life requires.”
Stephen Hawking has noted, “The laws of science, as we know them at present, contain many fundamental numbers, like the size of the electric charge of the electron and the ratio of the masses of the proton and the electron. … The remarkable fact is that the values of these numbers seem to have been very finely adjusted to make possible the development of life.”
“One reaction to these apparent enormous coincidences is to see them as substantiating the theistic claim that the universe has been created by a personal God and as offering the material for a properly restrained theistic argument – hence the fine-tuning argument. It’s as if there are a large number of dials that have to be tuned to within extremely narrow limits for life to be possible in our universe. It is extremely unlikely that this should happen by chance, but much more likely that this should happen, if there is such a person as God.”
— Alvin Plantinga
Theoretical physicist and Anglican priest John Polkinghorne has stated: “Anthropic fine tuning is too remarkable to be dismissed as just a happy accident.”
“As we survey all the evidence, the thought insistently arises that some supernatural agency—or, rather, Agency—must be involved. Is it possible that suddenly, without intending to, we have stumbled upon scientific proof of the existence of a Supreme Being? Was it God who stepped in and so providentially crafted the cosmos for our benefit?”
– George Greenstein, The Symbiotic Universe: Life and Mind in the Cosmos (1988), 27. Quoted at Today in Science.