Preheat the oven to 180C (350F).
Prepare a muffin pan lined with cupcake liners.
Separate the egg whites from the yolk.
Mix in a blender wet ingredients – the oil, the finely grated carrot, and yolks, also both sugars.
In a large bowl beat the egg whites {with a whisk, electric mixer or a stand mixer} until hard peaks are formed.
Without stopping, bring speed to low speed and pour the carrot mixture slowly in and keep mixing very slowly.
Add the dry ingredients – flour with the baking powder, baking soda, a pinch of salt, nutmeg, and cinnamon.
Mix for about 2 minutes.
Incorporate the thicker grated carrot with a spatula.
It’s ready.
Now pour the batter evenly for 12 cupcakes and bake for 30-40 minutes, until it feels firm and springy when you press it in the center.
Cool in the tin for 5 minutes, and carefully take them out of the cupcake tin and place them on a wire rack.
Wait until they are completely cool to add the frosting or it will melt away.