In a bowl, mix the all-purpose flour and 1/2 teaspoon salt. Pour in the boiling water and stir until it forms a dough. Allow it to cool.

In another bowl, combine the diced apples, lemon juice, 1/2 cup sugar, cornstarch, 1/4 teaspoon salt, cinnamon, nutmeg, and vanilla extract. Mix well.

Roll out the dough and cut into squares. Place a spoonful of the apple mixture in the center of each square and fold to seal.

In a large pot, heat vegetable oil for deep frying. Fry the dumplings until golden brown and drain on paper towels.

For the miso caramel sauce, melt the granulated sugar in a saucepan until it turns golden. Carefully stir in the heavy cream and white miso until smooth.

Serve the apple dumplings warm, drizzled with miso caramel sauce.