The theory of evolution conflicts with this scientific law when claiming that life came from nonliving matter through natural processes (a).
This isn't exactly true, strictly speaking--the theory of evolution says nothing about how life arose, only that it evolved after it got here. That said, de facto it is. You'd be hard-pressed to find someone studying evolution honestly who didn't agree with this statement.
Of course, "law" in science does not mean "unbreakable"; in science observation trumps theory. When observations show a law to be erronious that law is modified or discarded. In this case, the law was modified: CURRENTLY life appears to arise only from other living organisms.
Evolutionary scientists reluctantly accept the law of biogenesis (b).
Not really. It's just that nothing really contradicts it--the overwhelming majority of the taxa we study arise from previous taxa. This does not hold true for Hadean biogeochemistry, however.
All evolutionists recognize that, based on scientific observations, life comes only from life.
Nope. All scientists who study evolution (there's no real name for us) recognize that CURRENTLY, IT APPEARS that life only arises from life. This may not hold true at all times--extremophiles may include exotic species not related to the rest of life, for example--and it certainly wasn't true in the Hadean.
despite the impossible odds of spontaneous generation.
You've yet to provide evidence for why the odds are "impossible".
What Wald did not appreciate in 1954 (before, as just one example, the genetic code was discovered) was how the complexity in life is vastly greater than anyone at that time could have imagined.
Considering the Hadean organisms that first arose are undoubtably vastly LESS complex than those known today, I doubt this is a major consideration. I suggest Ward's "Life as We Do Not Know It" for a full discussion.
So, today, the impossibility of spontaneous generation is even more firmly established, regardless of the time available.
It has not been established in the first place.
I don't believe you quite grasp the difference between the Hadean world and today. There are two main issues to consider: First, there was VASTLY more tectonic activity back then, including huge numbers of bolide impacts. This provided a lot of energy to work with, which we simply don't have today. Second, the ecosystem was completely empty. Any organism that arises today faces intense competition for resources--including the material it's made out of--and will almost certainly be consumed prior to fully forming, or shortly thereafter. Without tht intense competition, we simply don't know.
that with increasing time (their “miracle maker”) comes increasing degradation of the fragile environment on which life depends, and
Couple of things. First, life isn't all that fragile. MODERN MACROSCOPIC life is, but life as a whole survived disasters you can't imagine. For example, the Oxygen Revolution--the only comperable event would be if we converted 20% of our atmosphere to cyanide gas. Life's actually pretty robust.
Secondly, please demonstrate that time necessarily "degrades" the environment. Please start by defining the term "degrades".
So far as actual evidence goes, this is still the only possible conclusion.
There are a number of biogeochemistry papers that refute this soundly. The author cites one extremely outdated set of experiments, and excludes the past, oh, 150 years of reaserch. Particularly the past 50 or 60, where biogeochem really took off. It's unconcioncible in an academic.
For that reason most scientific men prefer to believe that life arose, in some way not yet understood, from inorganic matter in accordance with the laws of physics and chemistry.
This is a lie. The author cannot be this ignorant of the current state of scientific knowledge. The reason we reject divine Creation is 1) no one ever provides any definition for said Creator, and therefore it's a hypothesis without mechanism and necessarily rejected, and 2) we have a number of different, viable ideas, and are simply trying to figure out which is correct.