Prepare the Apples
Peel the Granny Smith apples completely, removing all skin. Using an apple corer or a knife, remove the cores from each apple. Then slice the apples into uniform pieces about 1/4-inch thick. Consistent slicing ensures even cooking and prevents some pieces from becoming too soft while others remain firm.
Melt the Butter
Place a large skillet over medium heat and add the 1/2 cup of unsalted butter. Allow it to melt completely, spreading it evenly across the surface of the pan. The butter should be hot but not browned or smoking.
Create the Spiced Syrup
Add the 1/2 cup granulated sugar, 2 tablespoons of cinnamon, and 1/8 teaspoon of nutmeg to the melted butter. Stir continuously until the sugar dissolves completely and the mixture forms a smooth, fragrant syrup. This typically takes about 1-2 minutes.
Cook the Apples
Add the sliced apples to the skillet, gently tossing them to coat evenly with the spiced butter mixture. Cook for 6-8 minutes, stirring occasionally. The apples should become tender but still maintain some structure - they shouldn't completely break down into applesauce. The syrup will thicken slightly as the apples release their juices.