In a large bowl, combine the flour, salt, sugar, and dry yeast. Add the lukewarm water and olive oil, then knead into a soft, pliable dough. If it's too sticky, add a little flour; if it's too dry, add a little water.
Cover the dough and let it rise in a warm place for about 1 hour, or until doubled in size.
Meanwhile, peel, core, and thinly slice the apple. In a bowl, toss the apple slices with cinnamon and honey, allowing the flavors to meld.
Grate the cheddar cheese and combine it with the ricotta cheese to create a creamy filling.
Turn the risen dough out onto a floured surface, and divide it into four equal portions. Roll each portion into a circle about 3 mm thick.
Spread the ricotta-cheddar mixture on one half of each circle, then top with the apple slices. Make sure to leave about 1 cm of space around the edges for folding.
Fold the dough in half to create a half-moon shaped calzone. Press the edges firmly to seal, then use a fork to crimp the edges, preventing them from opening during baking.
Brush the top of each calzone with a beaten egg to achieve a golden-brown color after baking.
Bake in a preheated oven at 400°F (200°C) for about 20 minutes, or until the calzone are nicely golden brown.
Let them cool slightly, then serve fresh, perhaps drizzled with extra honey or sprinkled with a little grated cheese.
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