It's not theoretical physics. Go learn what metaphysics really means. You're using a word without knowing what it means, and worse, trying to argue about it.
https://www.amazon.com/Last-Superstition-Refutation-New-Atheism-ebook/dp/B00D40EGCQ
Recommended reading for you. It will answer both questions. Good luck.
Those who say there you can't find God intellecutally are wrong to an extent - we can prove the existence of (a) God through reason, as Dr. Edward Feser explains in his book <em>The Last Superstition: A Refutation of the New Atheism</em>. Of course, arriving at believing that Christ died for our sins is another issue and one that requires more faith, in the sense that men like St. Thomas Aquinas viewed the term. Nevertheless it is a good read and I strongly recommend it to any atheist willing to confront their beliefs.
You're onto something that few people remember these days - the absolute outrageousness of the Christian claim. It's not that we get eternity with donuts and coffee if we do what God wants; it's that He wants us, personally, so much that He died for us.
It's like being on death row for the murder of the president's son and wife; and just before they pull the switch you get not only a pardon, but a reprieve, and an invitation to live as the president's adopted son.
It's too good; so the only way we can dare to believe is because God Himself told us so.
You might be interested in the book The Last Superstition as it lays out some of the philosophical points that should be considered. Pascal's wager is also worth contemplating.