>Where I see time as a dimension is in physical, chemical, and nuclear reactions. Just the fact that radionuclides decay at a constant rate of time makes it incredibly difficult not to accept time as a dimension.

Interesting point. But radioactive decay doesn't happen constantly and smoothly, it is a quantum process and thus probablistic and random.

http://www.upscale.utoronto.ca/GeneralInterest/Harrison/SchrodCat/SchrodCat.html
"The paradox is just an illuminating way of thinking about the consequences of radioactive decay being totally random."

>Just as easily, though, I could apply "your" assertion that this is just a constant [discrete] changing from one state of decay to another reduced state of decay.

Right.