What I meant by that is to only focus on the methodology of dating methods, without bringing in fossils and stuff. Later we can bring in fossils and the like, but for now I just want to focus on the dating methods specifically until I have a better understanding of them. Unfortunately school work has not permitted me to really study the methods yet, but I will get back to you all on this when I have the time to look it over and respond.
Couple of thoughts on this.
First, neither you nor I has a high level of expertise about this. The people who do are called physicists. They subjected these methods to the highest level of scrutiny, made them jump over every hurdle they could think of, before accepting them. That's how science works. So do you really think that you are going to come up with some objection they didn't think of, test, and overcome decades ago?
And again, without even learning the physics, think about this. Imagine that radiometric dating is a black box. Set aside, for the moment, what's inside. You put a rock in, and a number comes out. They have tested that number against every possible annual event that we know about: trees, ice cores, coral rings, varves and I don't know what all. And it has matched all of them. Over and over again, thousands of times. For it not to work, all of these annual methods: tree rings, ice cores, coral rings, varves and others would have to be wrong at the same rate every time. That's how we know that it works, and that's without understanding the physics.
As for the physics, the key thing is the rate of decay. Well, physicists tried everything they could think of to change that rate. They heated the sample and froze it and pressurized it and sent it into space and to the bottom of the ocean and centrifuged it and subjected it to ever condition they could think of, and no matter what they did, they could not get it to change.
Putting these two things together: the methodology and the calibration--that's what makes scientists so confident that radiometric dating works.
Finally, there's no reason I can think of, no conspiracy or special interest that would make all these or even any of these scientists twist the results. What do they care if the earth is 4 billion years old or 40 billion or 4000? The don't care; they just want to know the answer. None of these results makes God any more or less likely, so it's not some kind of atheist conspiracy. It turns out that all the data is consistent with 4.56 billion, and 4.56 billion explains all the data so far, so we accept that as the best answer we have, with a reasonable d3gree of scientific certainty, higher than 99% at this point. And in science, we call >99% certainty as good as it gets, otherwise known as a fact.
So we can say that it's a fact, scientifically speaking, that the earth is around 4.56 billion years old.