Here’s the surprising fact: a peach seed is a drama queen. It thinks it just fell from a tree in late summer, so it refuses to wake up unless it goes through a long, cold winter first. Welcome to the art of stratification—a fancy word for “make the seed think it’s freezing its butt off.”
Wrap your seeds in a slightly damp (not soaking wet) paper towel, then seal them in a plastic bag. Stick that bag in the back of your refrigerator for 8 to 12 weeks. Not the freezer—unless you want peach-flavored ice cubes.
During this time, you’ll forget about them, then remember them while searching for leftover pizza. Check weekly for mold, and don’t panic if nothing happens for two months. This is basically a botanical stasis chamber, and patience is the price of delicious future fruit.