Deano’s answer to: “At the beginning of Thor, why does Odin tell Thor and Loki (as boys): ‘Only one of you can ascend to the throne. But both of you were born to be kings’?”

Thor and Loki Attending Dad in the Asgardian Men's Room?
Thor and Loki Attending Dad in the Asgardian Men's Room?

Yes, this refers both to Loki’s Frost Giant anscestry, as well as Odin’s plan to someday forge a peace in which Loki would rule over Jotunheim as King of the Frost Giants.

At the beginning of Thor, why does Odin tell Thor and Loki (as boys): “Only one of you can ascend to the throne. But both of you were born to be kings”?

Deano’s answer to: “Why couldn’t the bridge in Asgard be repaired to allow Thor to get back to Earth?”

Bifröst, the Rainbow Bridge
If Charlie Sheen were a Norse God, he'd be Bi-Frösting!

It’s not that such a bridge cannot be rebuilt, but rather that in this version of Asgard, at least, it cannot be “magically” rebuilt with a wave of Odin’s hand.

Given how the “bridge cannon” itself seems to work, there seems to be some form of scientific basis around wormhole and/or teleportation theory (and throughout the movie, as much is said). The technology to establish such wormholes seems to have existed in but one location on Asgard – whether that is a security measure to ensure a single route for any large scale invasion, or due simply to the massive energy resources required or other unseen operational costs remains unknown.

The ending makes it pretty clear: Thor will next be seen in The Avengers, and in order for that to happen, he (or perhaps his new flame Jane Foster) will need to find a way to bridge the worlds once more. My guess is that restoring the Bifrost bridge will take approximately 1 year of godly effort – or just in time for Thor to appear onscreen next to the Hulk, Captain America, and Iron Man(*).

(* Just as likely, this plot point will be completely ignored, giving fans yet another thing to discuss once the ensemble movie is released. 😉 )

Why couldn’t the bridge in Asgard be repaired to allow Thor to get back to Earth?