“Large Number Coincidences and the Anthropic Principle in Cosmology”, 1974 (; backlinks; similar):
[Discussion of what Carter names the “anthropic principle”: “what we can expect to observe must be restricted by the conditions necessary for our presence as observers. (Although our situation is not necessarily central, it is inevitably privileged to some extent.)”
Carter appeals to this to explain various “large number coincidences” in particle physics & cosmology: various relationships between stars and proton mass constants, the Hubble expansion rate & age of the universe, radiation pressure allowing solid matter, the value of the gravitational constant—which have been used to justify exotic theories of physics with varying constants etc—are in fact implied by our existence.
While that doesn’t necessarily ‘explain’ the relationships, this basic statistical/philosophical requirement greatly undermines the appeal of such theories, particularly given the plausibility of various kinds of multiverse and ensemble theories. There may be no particular reason for any specific ‘large number coincidence’ other than (a) it was possible and (b) it is required for our existence so we could not observe otherwise.]