* Physicists don't know all the fundamental laws of physics, but we have detailed empirical demonstrations that we know to precise detail all the laws of physics which would have a role in the life cycle of a life form which which prefers temperatures on the order of 300 kelvin and absolute pressures on the order of 100,000 pascals. A term you do not define and which is not defined in the discipline of physics. Without a physics definition here, the question of "consistency" is impossible to answer.
Another term you don't define.
Presumably you mean here to limit the scope of discussion to the expected rate of creation given so much surface area and limited volume of time. But since you haven't defined the conditions in sufficient detail, noone knows what temperature, pressure or composition ranges to look at. So limiting it to the surface of a single planet in a certain timeframe is not useful for discussion without further definition. Now this last part makes the whole question answerable.
WITH an Intelligent Designer, another term you have not defined, then there is intelligence on the planet. Since the only things with intelligence are living things, the presence of an intelligent designer would mean the planet is not lifeless and therefore you have an apparent contradiction in terms. (Why would a non-living thing need intelligence?)
THEREFORE, without an Intelligent Designer, the whole event seem much more plausible to be without contradiction.
But the main model of
Biology (Hint -- not Physics or Math, but another scientific discipline) says abiogenesis is a fact -- Once there was no Earth, then there was an Earth that could not support life as we know it, finally there is life. Lots of research continues to go into figuring out how, where and when the initial population of replicating metabolizers got started, but all signs point to them being much less organized than the simplest bacterium today. But once we do have an imperfect population of replicating metabolizer, various mathematical models seem to guarantee that life will become more complex and diversify. Example: In a community that shares perfectly, the first replicator line to hoard essentials will outperform the community in times of scarcity. This may account for why all modern life seems to have very complicated cell boundaries.
On this planet, there is no evidence that life suddenly appeared.
Certain minerals, such as uraninite, cannot form under significant exposure to oxygen. Thick deposits of these rocks, laid down slowly and in contact with the atmosphere as sediment in river beds, were commonly laid down up to about 2.5 billion years ago.
Banded iron deposits are very common in rocks more than 2.3 billion years old and very rare afterwards.
Red beds, which are rusted iron deposits, are found to be laid down over the remaining 2.2-2.3 billion years.
So 2,500,000,000 years ago, the Earth's atmosphere was changing due to an abundance of life. Whether it is "complex" or not, I hesitate to guess what you mean. But this is over 2 billion years before the so-called "Cambrian Explosion" and over 1 billion years
after modern estimates of the origin of life at 3.7-4.0 billion years ago. Since the whole history of the universe is only 13.7 billion years, the 3-billion year countdown to the proliferation of non-microscopic fossils of the "Cambrian Explosion" surely can't be what you are describing as "coming into existence practically instantaneously," can it?
As for "coming into the fossil record in a few tens of millions of years," that largely factual statement may be the result of an evolutionary arms race. (During the Cambrian, there was the first appearance of hard parts, such as shells and teeth, in animals.)
Further reading:
http://www.talkorigins.org/faqs/abioprob/originoflife.html
http://www.talkorigins.org/faqs/wells/iconob.html#Miller-Urey
http://www.talkorigins.org/origins/geo_timeline.html
http://www.talkorigins.org/indexcc/CC/CC200.html
http://www.talkorigins.org/indexcc/CC/CC300.html
http://www.talkorigins.org/indexcc/CC/CC301.html
http://www.pnas.org/content/97/13/6947.full
http://www.sciencemag.org/cgi/content/abstract/1099213
http://en.wikipedia.org/wiki/Acritarch
http://www.nature.com/nature/journal/v463/n7283/full/463885a.html
http://www.nrm.se/download/18.4e32c81078a8d9249800021552/Bengtson2002predation.pdf (605 KB)