What's more, his irises are now filled with pigment. Even if you could peek at the color of his peepers now, though, they might not stay that color, as a baby's eyes can change up until he's 6 months to 1 year old (especially if your little guy is born with baby blues).
Over the years, experience has shown us that old things come to an end (or are overthrown!) under a solar eclipse and a new beginning can be made. The effect on the world of eclipses has been seen to be generally felt for some six months, until the next eclipse then restructures the cosmic energies. Astrologically, solar eclipses signify the fall of the mighty (or at least, they're in big trouble!).
Other than that, however, any affect we feel from an eclipse is due to human psychology, as there really is no other physical effects from the conjunction of the earth, moon, and sun into a line. They do stir our curiosity, they make us think about the realities around us.