The phrase "black cheesecake burn for eternity" seems to be an incomplete or ambiguous statement. It doesn't represent any known culinary concept or recipe related to cheesecake.
In general, cheesecake is a delicious dessert made with cream cheese, eggs, sugar, and a crust typically made from graham crackers or other cookie crumbs. It is baked until set and then chilled before serving. "Black cheesecake" might refer to a cheesecake made with dark-colored ingredients like chocolate or other flavorings, but it's not a standardized term in the culinary world.
As for the idea of "burn for eternity," it doesn't have any relation to food preparation or cooking. It's possible that the phrase is part of a metaphor or a creative expression outside the context of food.
If you have a specific question or need information about a particular cheesecake recipe or any other culinary topic, feel free to ask!