01 - Slice approximately 1/2 inch off the tops of each apple. Carefully hollow out the apples using a knife and spoon, reserving the scooped flesh. Freeze the empty apple shells to firm.
02 - Combine the reserved apple flesh, apple juice, granulated sugar, and lemon juice in a blender. Purée until completely smooth.
03 - Refrigerate the blended fruit mixture until thoroughly chilled. Transfer to an ice cream maker and churn according to manufacturer instructions until thick and creamy. If no ice cream maker is available, pour the mixture into a shallow container, freeze, and stir vigorously with a fork every 30 minutes until sorbet consistency is achieved.
04 - Spoon the finished sorbet into the frozen apple shells. Place filled apples in the freezer for 3 to 4 hours, or until the sorbet is firm.
05 - Present the chilled apple cups with a cinnamon stick garnish for a refined finish. Serve immediately.