When you pray by the first light of dawn, the Talmud says, Heaven pays attention to your prayers immediately. And when you time your prayers so that they culminate with the Amidah prayer at the moment that the sun breaks the horizon -- again, according to the Talmud -- that's the moment where the gates of heaven are flung open unreservedly, so that any prayers are answered immediately and without question.
My daughter is still on East Coast time. She woke up at 5:00. This is the sunrise over the Pacific Ocean from the villa we've been staying at. (We're down the street from Julia Roberts and one of the Red Hot Chili Peppers. Although, at this particular moment, none of that earthly name-dropping stuff seems to matter.)