Preheat the Oven: Arrange a shelf on the lower third of the oven and place a baking stone on it. Preheat the oven to 350℉. DON'T SKIP THIS STEP!!
Roast the Walnuts & Chop: Spread the walnuts evenly on a baking sheet lined with tin foil or parchment paper and roast the walnuts for approximately ten minutes or until fragrant and slightly browned. Remove from the oven and stir in the tablespoon of butter, tossing it with the nuts to coat them evenly. Sprinkle 1/2 teaspoon of salt on the nuts and stir to combine. Set aside and allow to cool before chopping into small pieces. Turn the Oven Temperature up to 425℉.
Mix the Dry Ingredients: In a medium mixing bowl, whisk together the flour, baking powder, cinnamon, nutmeg, cloves, 1/2 teaspoon of salt, and sugar. Mix well to combine.
Mix the Wet Ingredients (minus the heavy cream): In another medium bowl, beat the egg yolks and egg, then mix in the oil, vanilla, and buttermilk.
Add the Wet Ingredients to the Dry Ingredients: Make a well in the dry ingredients and pour in the wet ingredients. Using a hand mixer or a fork, beat the mixture well. If you are using candied ginger, you can add it to the mixture now.
Whip the Heavy Cream: In a cold bowl with cold beaters, whip the heavy cream until medium peaks form. The whipped cream will hold its shape but not be stiff. Be careful not to overbeat the whipped cream as the butterfat will start to form lumps
Fold In the Whipped Heavy Cream & Mix-Ins: Using a wooden spoon or spatula, gently fold in 1/4 of the whipped cream to lighten the batter. Fold in the remaining whipped cream. Gently fold in the pears and walnuts.
Fill the Muffin Tins: Spray the muffin tins with non-stick spray or line them with cupcake liners. Fill the muffin pans nearly to the top. Sprinkle coarse sugar on top of the batter evenly. Leave the extra batter on the counter at room temperature if you only have one muffin tin.
Bake the Muffins: Turn the oven down to 400℉. Place the pans into the oven on the baking stone. Bake the muffins until they are well-risen, approximately 20-22 minutes. When the muffins are fully cooked, they will spring back to the touch. Alternatively, insert a toothpick and ensure it comes out clean.
Remove the muffins from the oven, allow to cool for approximately 5 minutes in the pan, and then gently remove them using an offset spatula. They are very delicate and tender so be careful not to break them. Allow the muffins to cool on a wire rack. If you are re-using the pan to make a second batch of muffins with the remaining batter, allow the pan to cool for several minutes before refilling them.