abstract as math is a created concept nature knows no math. Your logical disconnect is that you think math is some sort of universal code rather than a system Humans created to explain how the universe works. This is why as with science Mathematical expressions which explain natural process change as our understanding of those processes increase. As such Math is a explanatory abstract. Nature doesnt process information mathematically we as humans explain these processes in mathematical terms.
"Nature doesnt process information mathematically we as humans explain these processes in mathematical terms." 
Math per se is an abstract construction, you are correct, but what we see in real life is that concrete, physical and/or electrical substances can be arranged in deliberate, mathematical ways.
Human software does this with highly organized Base 2 (i.e. Binary) instruction sets that our CPU's process. DNA does likewise with Base 4 base pairs (A, C, G, T).