K, perhaps we're conflating "exponential," a mathematical term of art, with "non-linear." To restate, I'm saying that a constant, "uniform" (if you will) decay rate of 5% per year is "non-linear." I'm also saying that every natural engine or system decays at a non-linear rate. That rate itself may or may not be constant, depending on whether the system is modeled as open or closed.
And this says absolutely nothing about the validity or invalidity of Uniformitarianism as it relates to geology.
Tornadoes and other weather phenomena decay on a slope that becomes more gradual with time. Things subject to constant force, like a soccer ball kicked on a grassy field, or a riverbed with a constant flow of water running across it, decay at a diminishing non-linear rate.
As I have said repeatedly, there is no argument over the existence of exponential decay or non-linear decay or rates. None whatsoever.
But how do you
extrapolate this concept to meaning that Uniformitarianism is somehow invalid?
If you are making that claim, the only way to interpret that is if you think
processes were faster in the past than they are today.
Not just a
single reaction, but all processes.
I don't think you have thought through your full argument here, but I'll reiterate with a simple example, the decomposition of N2O5:
2N2O5 --> 4NO2 + O2
This is a first order reaction overall with a rate constant at 313K of 5.14X10[sup]-4[/sup] s[sup]-1[/sup]. Since the rate is only dependant upon the concentration of the N2O5 and we know the rate constant, the half-life is 1400sec, or about 23 minutes.
Which means that if I start with a reaction that has 0.1mole N2O5 and I watch it decompose it will take 23 minutes for it to break down to 0.05moles N2O5 (assuming I conduct it at 313K)
If I start watching a fresh batch with a concentration of 0.1mole/L N2O5 on May 3, 2001 at 1:00PM at 1:23PM I'll have 0.05mole/L N2O5. At 1:46PM I'll have 0.025mole/L N2O5. (again, at 313K temperature)
If I were to go back in time to April 3, 2000BC at 5:00PM and start with a fresh batch of 0.1mol/L N2O5 at 5:23 I'd have 0.05mol/L N2O5. (again, at 313K temperature).
If I were to go to the year 2525AD at Noon on June 3 and start with a fresh batch of 0.1mol/L N2O5, then at 12:23PM I'd have 0.05mol/L.
You see, it doesn't matter WHEN IN HISTORY I start the reaction, it will procede at a given rate which, itself, is an exponential decay dependent (at this temperature) only on the starting concentration of N2O5.
The rate expression, the governing rate is unchanged. Only related to the starting composition, not WHEN IN HISTORY I started the reaction.
NOTE: The RATE is exponential, it's a FIRST ORDER REACTION, but the half-life is
still the same. In order for your view of Uniformitarianism to be valid, then you'd have to contend that somehow
today the half-life of SO2Cl2 decomposition would have to be FASTER.
Otherwise you are stuck with uniformitarianism.
Do you see that yet?
(A more thorough treatment of the reaction rate calculations can be found
HERE and
HERE and
HERE.)
Human beings, life forms, computers, car engines, civilizations, and other complex systems usually decay according to a slope that steepens over time, like dropping off a cliff. This should be intuitively obvious. So not only do complex things like life forms decay over time, but the rate of decay actually accelerates with time. This is very, very bad for the theory of evolution.
No, no it's not. Your misapplication of what exponential decay rates mean for uniformitarianism is probably "very bad" for your understanding of evolution, but it has no bearing on evolution or uniformitarianism.