ATP synthase motor - brilliant design by the master designer

If it were wrong, then atoms fell apart (magically) without leaving any evidence; the earth turned into a ball of radioactive plasma, again (magically) without leaving any evidence; or God performed a deceptive and pointless miracle.

And what if the mineral crystals are directly observed to actively exclude the daughter, like zircons with lead or anything with noble gasses?

That is not an objective fact. That is an objective half-truth masquerading as a fact and repeated ad nauseam by people who have been told repeatedly that it is a half-truth.

And using that same logic, nothing in the past happened at all. The only way to say anything about the past, whether it existed, whether it had properties, etc., is to assume some level of continuity with the present.

Then why do they agree with each other so well?

YES. Because they use exactly the same methodology and the same assumptions–that the detector is accurate, that properties of the universe and of matter did not magically change in the past without leaving evidence. And since the detection was made in the past for the modern material, the same logic has to be applied to both: if we can’t know anything about the distant past, we can’t know anything about the recent past, because they use the same assumptions.

They are not “denigrating”, they are accusing. And if anyone is willing to use accelerated nuclear decay, then no, they cannot appeal to natural laws, since the same constants govern both.

Again, this is nothing but measurements and math. And as to fossils of soft tissues:

“Real operational science” is exactly what is used to make all of the measurements that are needed to calculate dates from isotope ratios, again, here (for the third time) is the actual mathematics required in the situation where there can be certainty that there was no daughter isotope present and there has been minimal entry or exit of material from the sample (e.g., U-Pb dating of zircons or U-He dating or K-Ar dating):

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