Here is my question. Everyone says there's all this proof, yet it's apparently too complicated for anyone to really follow and truly understand, but they believe it anyway. Why? Because some guy with a PhD says so.
No thanks man, I'd rather put my faith in a God I experience than a model I can't understand. It seems to me, these days, science is it's own religion, and it requires a whole lot of blind faith. But My God, I experience. That requires only faith in me. If I can believe I'm not a lunatic, then I can feel quite secure in my experience, and so my faith in God.
No, it's not too complicated for anyone to follow. It's too complicated for ME to follow. I get the basics, don't get me wrong, but if you start talking about primary sources, then nope...lost me.
That doesn't mean I'm taking it on faith to the degree you mean. Yes, I am reliant on others for information. And those others could be wrong. In fact, I expect they are. But science isn't an 'answer' in the way religion is. I don't need to think it's right.
It's an approach. So if you want to argue that I have faith in scientific method, then sure, that's probably valid. I would submit that my faith is based on tangible evidence that scientific method is our best method for answering previously unanswered questions, and for producing new technologies and insights to the world around us.
As for the specifics about the Sun being older than the Earth, I don't need to trust science, nor trust a scientist. I trust lots of scientists independently trying to determine the truth by scientific method. Where they do a shoddy job, I trust other scientists to call them out. Where they do a good job, I trust other scientists to take their research and try to improve on it just a little and get some kudos/grant money/chicks for themselves. Okay, so the chicks was a stretch, but you get the idea.
Next time I turn on my tv, I see evidence that science works. Air con. Car. Next time I can google the layers of the Earth and get independently sourced information which I can cross reference and which agrees. I don't need to dig to the centre of the Earth.
Heck, I know what the Earth looks like in space. Never been in space. Never experienced the wonder. But I know what it looks like. Do you doubt what the Earth looks like from space?
For the age of the Sun to be something I personally could verify, for the age of the Earth to be something I could personally verify, and for me to be able to build a simple narrative to explain to others how I KNOW the relative ages of these would require two things;
1) A level of hubris I don't have.
2) For me to want to waste my breath, since everyone else would already know anyway.
The fact is, things can be complicated. And people can spend their whole lives studying what has come before them in a certain field, with the hope of advancing that field in one meaningful way.
So instead, I rely on the preponderance of evidence as I understand it to be to make my life choices, and update my view of the world as my understanding of the world develops.