Preheat the oven to 350 degrees F. If you are using nuts that are already roasted, you may want to just heat the oven to 300 degrees to warm them, as the warmth of the nuts helps the caramel flow better.
Lay the nuts on a rimmed baking sheet and toast them until aromatic (about 8 minutes). Transfer to a mixing bowl and cover the bowl to keep the nuts warm
Line the rimmed baking sheet with parchment and set aside.
Combine the sugar, honey, butter and Amaretto in a 1 quart saucepan and heat over medium, stirring often, until butter is melted and sugar has dissolved. Bring to a fairly gentle boil. Insert a deep fry thermometer and cook, only stirring as necessary, until mixture reaches 300 degrees.
Pour into the bowl over the nuts and stir with a heavy duty silicone scraper or a wooden spoon. Work quickly because the sugary mixture will get stiff pretty quickly. Some will settle on the side of your bowl, but don't worry because it will dissolve in water when you clean the bowl.
Pour onto the parchment lined baking sheet. Sprinkle with Aleppo pepper and sea salt. Let set.
Once the brittle has cooled completely, break it into bite-sized pieces.