All very interesting, but - to repeat the question - what, in your view, are the exceptions in this context (evolution) that are significant enough that you thought it worth mentioning?
All I gleaned from that is that you have doubts about the constancy of radioactive decay rates. Are you suggesting that miscalculation of radioactive decay rates invalidates the time-ordering of paleontological finds?
Radioactive decay rates are but one of several parameters used for evolution that would be used in error -
only one. If I can get one to understand how the
dating method of the theory is fundamentally flawed, then everything built from this premise fails also - which is does.
But, the reason why the general exceptions to the quality of the theory of evolution only needs to rest on the mathematics, and the basics I presented is because everything is based on mathematics. To build to the theory of evolution, you need (bio)chemistry and physics - which both use mathematics (when I said mathematics here, and from now on, I mean
computational mathematics - like field theory, chromodynamics and gauges.
) At the foundation of those disciplines rests exactly the qualms which I mentioned: namely, how the fundamental parameters that are assumed to be constant over any time period
are not constant at all. That is the problem.
As said, coupling constants - which determine
charge, mass, the fine structure constant, and therefore the parameters of all other disciplines in physical sciences - are
not constant. They depend on the energy scaling.
This is why we must renormalize these fundamentals in order to get a well-defined approximation of values. The experimental values of these fundamental constants
work, but
they are not the unique solutions. And, the amount of error in the experimental value versus the actual (theoretical) values may vary by fractions of percentages, but when we use these erroneous answers in calculations, the
error is compounded. This is why I said:
The exceptions in practice may be marginal, but they really aren't since we are using a time scale that is very large - on the scale of the magnitude of the inverse of the time it takes a radioisotope to evolve one hyperfine transition between from the ground state. So, the assumptions being made are (at the most fundamental level) open to [large] error counts.
Moreover, biological processes and systems are also measurements on a very small scale (micro, pico, femto, and atto,) so these error are seen on a measurable and influential scale when studying this part of microbology.
I am not saying evolution is trash; I am saying it is
not accurate, or even precise. In the future it may be considered trash as biology moves from micro and nanobiology to femto and attobiology. These large inconsistencies and discrepancies will begin to show up more often, and we will have to "reformulate" the theory of evolution. I don't think anyone can honestly say the theory is correct. But, for now
it works as a very gross approximation that is out of order and inconsistent, fundamentally.
It goes way beyond decay rates.