OK, I looked into the "famous" case of the Trex with apparent red blood cells found in the bone marrow cavity. The original research, published in 2005, is found here.
Soft-Tissue Vessels and Cellular Preservation in Tyrannosaurus rex -- Schweitzer et al. 307 (5717): 1952 -- Science.
This is very interesting, if true it does in fact shake things up a bit. This original research did not make any claims as to the age of the earth or the age of the dinosaurs that I can see. The only such claims that I can find are those made on websites dedicated to the "proving" of Genesis. For example this site,
Sensational dinosaur blood report! ,
says that this discovery supports claims that dinosaurs are only a few thousand years old.
Usually when there is this kind of discovery, it gets a lot of attention from other scientists, who do their own research, on the same materials and other materials, in an attempt to verify what has happened. In fact subsequent research has been done. Research published in 2008 points to an entirely different conclusion, something quite different from red blood cells. This 2008 research can be found here.
PLoS ONE: Dinosaurian Soft Tissues Interpreted as Bacterial Biofilms
Ok, so at the very least the jury is still out, but as it stand it looks like something other than red blood cells and soft tissue.
OK, moving on to the bathtub example. I do indeed understand your point, more specifically it seems to be an analogy to what you referred to earlier as uniformitarionism.
I also understand what you say about the age of dinosaur bones being determined by the age of the strata in which the bones are found.
I really don't have a lot to say about these last two points at the present time, I intend to do a little more research into scientific dating methods first.
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