So the first question is, "Is there something besides the physical world -- besides atoms and energy and time?" If you say "yes", then you've ruled out materialism (which some people confuse with science).
There are a number of things in our human experience which (in my opinion) are inconsistent with a materialistic worldview. The sense of meaning and purpose is one. Morality is another. (Not trying to argue this here, just trying to answer the question.)
Then you can say, OK, but that could be Buddhism or Shintoism or Islam or anything. So the next set of questions might filter out reincarnation-style religions and get you down to the Abrahamic religions (Judaism, Christianity, Islam); and then you might look specifically at evidence about Jesus' resurrection.
Not all Christians are Young Earthers; and Young Earthers are certainly not Flat Earthers. But there is this similarity: Christianity gives people something that atheism and materialism do not. And so when modern atheists say, "Belief in evolution is incompatible with belief in God -- you have to choose one or the other", then a lot of people will say, "Well if I have to choose, I'm going with God."
- https://www.livingwaters.com/why-christianity/ seems to short-circuit back into "god-given rule"
- https://carm.org/atheism/why-believe-christianity-over-all-o... assumes the Bible as a historical source of truth
- http://www.gospeloutreach.net/whychristianity.html - quotes beauty not present in atheism, otherwise Bible as a historical source
- https://creation.com/why-christianity says Christianity correctly diagnoses a humanity's fault (moral inconsistency), and then declares it superior because of which solution it chooses
They don't seem to answer "why is Christianity the source of meaning", but rather "why choose Christianity as religion", which is a different question, so I might have misrepresented them. Either way, none of them seem very logically conclusive to me.
That's right. The original question was:
> Why would some point of existence or meaning lead specifically to Christianity?
If you want to know "why is Christianity the source of meaning" that's an easier question to answer: it's because the omniscient, omnipotent and omnibenevolent Creator of the Universe loves you, and will give you everlasting life in paradise conditioned only on your acceptance of His sacrifice on the cross. Or something like that.
"Why would some point of existence or meaning lead specifically to Christianity?" presumes starting with no preferred solution: "existence has a meaning. Who discovered it?". It's much more interesting than "Christianity says existence has a meaning. What makes it right?"
If you're looking for the Christian answer to this, it is: no one discovered it. The meaning of life is not discoverable knowledge. It is instead revealed by God.