So whether or not the DNA that does the job was simply squeezed out of the materials at hand or came about through some sort of mutation, or evolutionary demigod like "natural selection", only that one would work.
You speak of protein synthesis as if it just popped into existence, but it is a phenomenally complicated thing that defies explanation. If proteins are required in the protein synthesis process, then where did those proteins come from in the first place? And why would a code evolve in the first place without the cellular machinery to use it? The code is so complex that numerous conjectures are advanced that the code evolved from simpler codes. But If that were the case why couldn't have different codes evolved in different lineages resulting in different codes in present species?
Given that the code is chemically arbitrary, and that another code would work just as well, how is it even conceivable that the same code just happened to evolve separately in different parts of the universe?
Cordially,
Life is an inherent property of this particular universe.
Information processing is a different story. At some point you run into the Heisenberg uncertainty principle, and the various gyrations electrons go through when presented with quantum mechancs.
No doubt we have access to other dimensions ~ St. Paul theorized several of them (body, mind, soul, heart, spirit). Other groups have thought up even more of them, and each may be demonstrated intuitively or objectively ~ such is the nature of thought processes at our level of development.
No doubt we can't even imagine the half of it.
The proof of my statement arises out a consideration of what are called "irrational numbers". In nature ALL values for "irrational numbers" are not selected. We simply never see any structure that uses some of them ~ there are holes in their sequence.
"codes" necessarily find themselves RESTRICTED to the values available for use.
Why all the values aren't available is beyond me ~
Now, concerning "code evolution" once you have one that works, it may be added to. That's like putting a fuel injector on your antique car and tossing away the curburetor. The car's still there, it's still antique, but it gets better gas mileage.
Any new additions to the code will arise out of the same chemistry that provided the initial parts. The genome may well have some say-so in what may be added. SOmeday we'll be able to "ask the genome".